anna university me manufacturing engineering

M.E.(Full Time) Manufacturing Engineering

PA032 Computer Aided Metrology and Inspection 3 0 0 100

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THE INTERNATIONAL STANDARDS OF LENGTH AND LASER METROLOGY:

CO-ORDINATE MEASURING MACHINES:

OPTO ELECTRONIC MEASUREMENTS SYSTEMS AND DEVELOPMENT INMETROLOGY:

IMAGE PROCESSING AND ITS APPLICATION IN METROLOGY:

COMPUTER INTEGRATED QUALITY ASSURANCE

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Units of length - legal basis for length measurement - Traceability - Charecteristics - LASER light source -LASER interferometer - LASER allignment telescope - LASER micrometer-on-line and in-process measurementsof diameter and surface roughness using LASER - Microholes and topography measurements - Straightness andflatness measurement.

Evolution of measurement - cordinate measuring machines - Non cartesian CMMS - Accessory elements -Application software - Performance evalutions -Temperature fundamentals - Environmental control - Accuracyenhancement - Applications - Measurement integration.

Opto electronic devices contact and non contact types Applications in on-line and in-process monitoring systems -Tool wear measurement - Manufacturing metrology-3D Surface roughness - Pattern generation studies -Roundness measurement using LASER.

Shape identification - Edge detection Techniques - Normalisation - Grey scale correlation - Template Techniques- Surface roughness using vision system - Interfacing robot and image processing system - Masurement of lengthand diameters.

Total quality control - quality assurance - Zero defects-POKA-YOKE Statistical evaluation of data usingcomputer-data integration of CMM and data logging in computers - TQM.

ANNA UNIVERSITYChennai-25.Syllabus for

45Total No of periods:

PA032 Computer Aided Metrology and Inspection 3 0 0 100

References:

1. WATSON .J., " Optoelectronics " - Van Nostrand Rein hold(UK)Co ltd.,19882. ROBERT.G. SEIPPEL, - " Optoelectronics for technology and engineering ", Prentice Hall NewJersey,19893. ULRICH-REMBOLD,ARMBRUSTER AND ULZMANN-" Interface technology for computer controlled manufacturing processes ",Marcel Dekker Pub.New York,19934. " International journals on CIRP ".5. THOMAS.G.G. - " Engineering metrology ", Butterworth PUB.1974.6. TAGUCHI.G and SYED.L. et al., " Quality Engineering in production systems ", McGraw Hill,19807. JOHN BANK, " Essence of TQM ",Prentice Hall of India Pvt.,Ltd.,1990.

PA131 Precision Engineering 3 0 0 100

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CONCEPTS OF ACCURACY:

GEOMETRIC DIMENSIONING AND TOLERANCING:

FUNDAMENTALS OF NANOTECHNOLOGY AND MEASURING SYSTEMS:

NANO-POSITIONING SYSTEMS OF NANOMETER ACCURACY ANDREPEATABILITY:

APPLICATIONS AND FUTURE TRENDS IN NANO TECHNOLOGY:

PRACTICALS

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Introduction - concept of accuracy of machine tools - spindle and displacement accuracies - Accuracy ofnumerical control systems - Errors due to numerical interpolation - Displacement measurement system andvelocity lags.

Tolerance zone conversions - Surfaces, features, features of size, datum features-Datum, oddly configured andcurved surfaces as datum features, equalizing datums-Datum feature of size representation-form controls,orientation controls - Logical approach to tolerancing.

Processing system of nanometer accuracies - Mechanism of metal processing - Nano physical processing ofatomic-bit-units Nanochemical and electrochemical atomic-bit processing.In processing or in-situ measurement of position of processing point-Post process and on-machine measurementof dimensional features and surface-mechanical and optical measuring systems.

Guide systems for moving elements - Servo control systems for tool positioning - Computer Aided digital andultra precision positition control.

Nano-grating system-Nanolithography, photolithography, electron beam lithography-Machining of soft metals,diamond turning, mirror grinding of ceramics-Devlopment of intelligent products-Nano processing of materials forsuper high density Ics-Nano-mechanical parts and micromachines.


PA131 Precision Engineering 3 0 0 100

References:

1. MURTHY,R.L., - " Precision Engineering in Manufacturing ", New age International(P) Limited,publishers,1996.2. JAMESD. MEADOWS, - " Geometric Dimensioning And Tolerancing ", Marcel Dekker Inc.1995.3. NORIO TANIGUCHI,- " Nano Technology ", Oxford university,Press,1996.

PA133 Engineering Statistics and Probability 3 1 0 100

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PROBABILTY THEORY

SAMPLING THEORY:

ESTIMATION THEORY

TESTING OF HYPOTHESIS

DESIGN OF EXPERIMENTS

TUTORIAL

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6

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15

Random variables - probability density and distribution functions moment generating and charecteristic functions- Standard distributions, Binomial, Poisson, Normal and application of normal distributions.

Sampling distributions of statistics - Standard error-T,F, Chi square distributions.

Interval estimation for population mean,standard deviation difference in means,ratio of standard deviations-pointestimation,maximum likelihood and least square estimates.

Hypothesis testing-Small Samples-Tests concerning proportion means,standard deviations-Tests based on chisquare, goodness of fit and test of independence-run test-non parametric methods

Experimental design-completely randomised design-Randomised blocks and factorial design-Analysis of variousmethods of one, two factor models


PA133 Engineering Statistics and Probability 3 1 0 100

References:

1. MILLER and FIEUD, "Probability and statistics for Engineers ", Prentice-Hall of India,1977.2. PAUL L.MEYOR, "Introductory Probability and Statistical applications ", Addison Wesley 1970.

PA132 Computer Aided Product Design 3 0 2 100

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PRODUCT DEVELOPMENT PROCESS:

PRODUCT MODELLING:

FRAMEWORKS AND ARCHITECTURES:

TYPES OF ANALYSIS TOOLS

RECENT ADVANCES:

PRACTICALS

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Intergrated Product development process - concurrent engineering - work structuring and team Deployment -Product and process systemization - problem, identification and solving methodologies.

Product Modeling - Definition of concepts - Fundamental issues - Role of Process chains and product models -Types of product models - model standardization eforts-types of process chains - Industrial demands.

Introduction - General Architecture - Distributed computing - Work group computing - PIM - ComputationalArchitecture - Standards - Generic concurrent engineering development environment.

Design for manufacturability - machining - casting and metal forming - optimum design - Design for assemblyand disassembly - probabilistic design concepts - FMEA - QFD - Taguchi Method for design of experiments -Design for product life cycle.

Intelligent Information Systems - Knowledge based product and process models - Applications of soft computingin product development process - Advanced database design for intergrated manufacturing - Use of STEPstandards in CIM. Design for manufacturability - casting, forming, welding and machining.


PA132 Computer Aided Product Design 3 0 2 100

References:

1. BIREN PRASAD, " Concurrent Engineering Fundamentals Vol II ", Prentiice Hall,1997.2. KARL T.ULRICH,STEPHEN D.EPPINGER, " Product Design and Development ", McGraw Hill,1994.3. DONALD E. CARTER, " Concurrent Engineering ",Addison Wesley,1992.4. JAMES G. BRALLA, " Handbook of Product Design for Manufacturing ", McGraw Hill,1986.

PA031 Industrial Robotics 3 0 0 100

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INTRODUCTION

MODELLING OF ROBOT MANIPULATOR

CONTROL IN ROBOTS

PROGRAMMING OF ROBOTS & VISION SYSTEMS

APPLICATION OF ROBOTICS

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Fundamentals of Robotics-Classification-Overview of drives,Sensors,grippers and manipulators,selection ofrobot.

Kinematics-Differential Kinematics& static - dynamics-Trajectory planning-motion control-interaction control-Rigid body mechanics.

Actuators and Sensors-Fundamentals in electronic control-Instrumentation-feedback control-Robot arm control-architecture of control-interfacing

Types-Selection of procedure-Case study of differential methods-Vision system - Robot intelligence-taskplanning.

Application of robotics in machine shop, assembly, automation, tele operated robot, MHS, Processing operation.


PA031 Industrial Robotics 3 0 0 100

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PA037 Metal Cutting Theory and Practice 3 0 0 100

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INTRODUCTION

SYSTEMS OF TOOL NOMENCLATURE

THERMAL ASPECTS OF MACHINING

TOOL MATERIALS,TOOL LIFE AND TOOL WEAR

WEAR MECHANISMS AND CHATTER IN MACHINING:

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Need for rational approach to the problem of cutting metals-Observation made in the cutting of metals-Basicmechanism of chip formation-Thin and Thick zone models-Types of chips-Chip breaker-Orthogonal Vs Obliquecutting force and velocity relationship and expresion for shear plane angle in orthogonal cutting-EnergyConsideration in machining-Modern theories in Mechanics of cutting -Review of Merchant and Lee Shaffertheories critical comparison.

Nomenclature of single point tool-Systems of tool Nomenclature and Conversion of rake angles-Nomenclature ofmulti point tools like drills,milling cutters and broaches.Forces in turning,drilling and milling,conventional Vs Climb milling,mean cross sectional area of chip in milling-specific cutting pressure.

Heat distributions in machining-Effects of various parameters on temperature - Method of temperaturemeasurement in machining-Hot machining - cutting fluids.

Essential requirements of tool materials-Developments in tool materials-ISO specifications for inserts and toolholders-Tool life-Conventional and accelerated tool life tests-Concepts of machinability and machinability index-Economics of machining

Reasons for failure of cutting tools and forms of wear-mechanisms of wear-chatter in machining-Factors effectingchatter in machining types of chatters-Mechanism of chatter based on Force Vs Speed grph,Mechanism ofgrinding-Various parameters affecting grinding process


PA037 Metal Cutting Theory and Practice 3 0 0 100

References:

1. SHAW .M.C., " Metal cutting Principles ",Oxford clarendon Press,1984.2. BHATTACHARYA. - " Metal Cutting Theory and Practice ", New central Book Agency(p) Ltd.,Calcutta1984.3. VENKATESH .V.C. & CHANDRASEKHARAN.H. - " Experimental Techniques in Metal cutting ", PrenticeHall of India,19824. JUNEJA.B.L AND SEKHON.G.S- " Fundamentals of metal cutting and machine tools ", New AgeInternational(p) Ltd., 19955. XING SHENG LI & LOW I.M., Editors Advanced Ceramic TRANSTECH PUBLICATIONS,1994.6. KUPPUSWAMY.G.- " Pinciples of metal cutting ", Universities Press(India)Ltd., 19967. BOOTHROY.D.G. and KNIGHT. W.A " Fundamentals of Machining and Machine tools "-MarcelDekker,New York, 1989.

PA143 Advanced Materials Technology 3 0 0 100

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REVIEW OF MECHANICAL BEHAVIOUR OF MATERIALS

SURFACE MODIFICATION OF MATERIALS:

ADVANCED HEAT TREATMENT OF MATERIALS:

MODERN MATERIALS AND ALLLOYS

APPLICTIONS OF ADVANCED MATERIALS

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Plastic deformation in poly phase alloys - Strengthening mechanisms - Griffith's theory of failure modes - Brittleand ductile fractures - Damping properties of materials - fracture toughness - Initiation and propagation of fatiguecracks - Creep mechanisms - Hydrogen embrittlement of metals.

Mechanical surface treatment and coating - Case hardening and hard facing - thermal spraying - vapourdeposition-ion implantation - Diffusion coating - Electroplating and Electroforming - Conversion coating -Ceramic and organic coatings - Diamondcoating - Advanced surface modification of steels.

Unconventional surface hardening techniques-Heat treatment of critical mechanicalelements like gears,tools,dies,springs,shafts-Heat treatment of Al,Cu,Niand Ti alloys-Polymer quenchants.

Super alloys-Refractory materials-Ceramics and their applications-Low melting alloys-shape memory alloys-Metalmatrix and ceramic matrix composites

Ti and Ni based alloys for gas turbine applications-Maraging and Cryogenic steels-Newer materials and theirtreatment for automobile applications-Materials for Naval and nuclear systems.


PA143 Advanced Materials Technology 3 0 0 100

References:

1. DOWLING - " Mechanical Behaviour of materials,E ngineeing methods of Determination ,fracture " - McGraw Hill,19992. P.RAMA RAO(Editor) - " Advances in materials and their applications ", Wiley Eastern Ltd.,New Delhi.19933. SEROPE KALPAKJIAN - " Manufacturing Engineering and Technology 3rd Edition ", Addison Wisley Publishing co.,New York,1995.4. KENNETH G.BUDINSKI - " Surface Engineering for wear resistance ", Prentice Hall,1988.5. D.R.GABE - " Principles of metal surface treatment and protection ", Pergamon Press,1978.6. DIETER - " Mechanical Metallurgy (Revised Edition) ", McGraw Hill,1989.7. DIETER - " Engineering Design,A materials and processing approach(III Edn) ", McGraw Hill,1999.

PA141 Computer Integrated Manufacturing 3 0 2 100

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MANUFACTURING TECHNOLOGY

PRODUCTION PLANNING AND CONTROL

GROUP TECHNOLOGY AND PROCESS PLANNING

FLEXIBLE MANUFACTURING SYSTEMS

MANUFACTURING SIMULATION

TUTORIAL

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Overview-current themes in manufacturing -design- manufacture interface-overview of process planningtechnique.

Discrete parts manufacturing-topology in manufacturing classification of FMS decision Lean production-BPR-Master production scheduling-Requirements Planning-JIT.

Part families,classification and coding-type of codification-case study-computer aided process planning-retrievaland generative.

Need classification-Integration-Interface-Software for FMS-Production flow analysis - flexible material handling-petri network-application.

Simulation language - type of software package-Simulation process-FIST codes-Case study.


PA141 Computer Integrated Manufacturing 3 0 2 100

References:

1. " CAD CAM " - Chris McMohan & Jimmi Brown ,Addison,Wiley-2000.2. " Manufacturing High Tech Handbook " - Donatas tijunela & Kirth E. Mckee-2000.3. " Performance Modelling and Analysis of Automated Manufacturing systems " - Narahari and Viswanadham-Prentice Hall-1998.

PA142 Mechatronics 3 0 2 100

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INTRODUCTION TO MECHATRONICS

SENSORS AND TRANSDUCERS:

ACTUATING DEVICES:

SIGNALS,SYSTEMS AND CONTROLS:

ADVANCED APPLICATIONS IN MECHATRONICS

PRACTICALS

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Mechatronics-Intergrated Design issues-Key elements-Design process-Advanced approaches in Mechatronics.

Introduction to sensors and transducers,Sensors for motion and position measurement,Force,Torque and tactilesensors,flow sensors,temperature sensing devices,ultrasonic sensors,range sensors, vibration control usingmagneto structure transducers,fibre optic devices in mechatronics.

DC and AC Drives-stepper motor,servo motor,fluid power-design elements,piezoelectric actuators.

Introduction to signals,systems and controls,system representation,Linearisation of Non linear systems,timedelays,measures of system performance-Root locus and Bode plots.

Sensors for condition monitoring,Mechatronic control in Automated manufacturing,Artificial Intelligence,andFuzzy Logic applications in Mechatronics,Micro Sensors and Case studies.


PA142 Mechatronics 3 0 2 100

References:

1. Devadas Shetty and Richard A.Kolk , " Mechatronics system design " - PWS publishing company.19972. " Mechatronics Theory and Applications " - Edited by BOSCH,19983. W.Bolton , " Mechatronics " , Longmen,19994. " Mechatronics ", Edited by HMT ,Bangalore 1998.5. D.A.. Bradly, D . Dawson, N.C.Burd and A.J. Loader , " Mechatonics " - Electronics in Products andProcesses, Chapmall and Hall, 1993.

PA033 Fluid Power Automation 3 0 0 100

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INTRODUCTION

HYDRAULIC POWER GENERATION,CONTROL AND REGULATINGELEMENTS

PNEUMATIC AND ELECTRO PNEUMATIC

CIRCUIT DESIGN

COMPUTER CONTROL &MAINTENANANCE OF FLUID POWER CIRCUITS:

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Need for Automation, comparison with other power system-ISO symbols for fluid power elements - Economicconsideration of fluid power systems-Oil hydraulics,Water hydraulic,pneumatic-Introduction and selectioncriterion.

Basic elments in a fluid power system-Hydraulic pumps,Gear,Vane,piston-selection and specification,drivecharecteristics Hydraulic actuators-Linear and Rotary,Selection specification and charecteristics,cushioning.

Generation and control of compressed air - Elements in pneumatic circuits, Fluidic devices and its applicationFlip- Flop , SRT Flip flop-Use of electrical switches, relays, timers in fluid power circuits - Electro pneumatics.

Design and methodology-Sequential circuits,cascade,Karnaugh-Veitch map,step counter methods-Compound andcombination circuit design .Typical Industrial and hydraulic circuits-Synchronising and accumulator circuits-Circuits for machine tools-Aerospace application-Design and selection criteria.Electro pneumatic circuit design,Ladder diagram.

Fuzzy logic in fluid power circuits- PLC in fluid powers- PLC ladder diagram.Installation-Fault finding in fluidpower circuits.


PA033 Fluid Power Automation 3 0 0 100

References:

1. ANTONY ESPOSITO - " Fluid power system and control ", Prentice Hall,1998.2. E.F. FITCH AND J.B. SURYAAT MADYN - " Introduction to fluid power Logic ", McGraw Hill,19883. PETER ROHNER - " Fluid Power Logic circuit design ", Macmillan Press,1994.4. " Hydraulic systems Handbook ", Utility Publication shop,secunderabad-3,1988.

PA034 Instrumentation and Control 3 0 0 100

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INTRODUCTION TO INSTRUMENTATION

ADAPTIVE CONTROL SYSTEMS

COMPUTER CONTROL SYSTEM

TRANSDUCERS AND MEASUREMENT PRINCIPLES

DIAGNOSTIC AND CONDITION MONITORING METHODS

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Function block of instrumentation-Intelligent instruments -I/O elements-Automatic test equipment records -D/Aconverters-A/D converters-Types.

Definition of AC types-AC applications-Self tuning control systems-Real time parameter estimation-Expertsystemand neural network-Fuzzy control.

Data accuisition system-Supervisory control-Direct Digital control-Programmable logic controls-Ladder logicdiagrams-communication in PLC.

Variable resistance transducers-Variable reactive transducers-Piezo electric transducers-Fibre optic transducers-Laser instrumentation-analogue and digital type -incremental and absolute measurement-inductosyn-resolver.

Objectives of machine diagnostics-causes of failure in machine tools-Distribution of fault occurences-Aims ofmonitoring-Telephone diagnostic method applied to CNC machine.


PA034 Instrumentation and Control 3 0 0 100

References:

1. M.P.Groover - " Automation, Production Systems and computer intergrated manufacturing ", PrenticeHall.2. Week - " Machine tools ", John Wiley,19803. A.J.Baauvans - " Digital Instrumentation ", McGraw Hill,1987.4. C.S.Rangan,V.S.V.Mani and G.R.Sarma - " Instrumentation Devicesand systems ", Tata McGrawHill,1983.

PA035 Finite Element Applications in CAD 3 0 0 100

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INTRODUCTION

GENERAL PROCESDURE OF FEM

FINITE ELEMENT FORMULATION OF ONE OR TWO DIMENSIONALPROBLEM:

ISO PARAMETRIC ELEMENTS OF FORMULATION:

APPLICATION OF FEM IN ANALYSIS OF MANUFACTURING PROCESSES

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Variational formulation-General field problems in engineering,discrete and continuous models-Charecteristics-Therelevance and place of finite element method-Variation calculus-Variational formulation of boundary valueproblem-The method of weighted residuals.Ritz-Galerkin-Collocation and finite difference method-Solution oflarge system of equation-Choleksy Dcomposition,forward and backward procedures-Gausssian elimination.

Discretization of domain-Interpolation polynomials-formulation of element charecteristic matrices and vectors-assembly element matrices-solution of F.E.equation-Treatments of boundary condition-Finite Element parallelprocessing of Finite element analysis.

One dimensional second order equation-Generalised coordinate approach-Stiffness matrix-Extension of themethod to fourth order equation-Time independent problem and their solution-Example from heat transfer,fluidflow and solid mechanics-eigen value problem.Second order equation involving Variational formulation-Triangular elements and quadilateral elements-CST andLST models-Extension to free domain problems-Axis symmetric problems-Examples from metal forming andmetal cutting.

Natural coordinates in 1,2, and 3 dimension-Use of area coordinates for triangular elements in 2 dimensional;problem-Isoparametric elements in 3 dimension-Stiffness matrix evaluation using numerical integration.

Application of FEM in various metal forming processes-Extrusion,Deep drawing ,closed die forming etc.Metalcutting mechanics-Eulers and Lagranges approach-Application of FEM in solidification casting,metal formingprocess.


PA035 Finite Element Applications in CAD 3 0 0 100

References:

1. K.J.BATHE - " Finite element procedures in Engineering Analysis " - Prentice Hall ,1982.2. T.R.CHANDRNPATLA and A.D.BELEGUNDO - " Introduction to Finite Elements in Engineering ", Prentice Hall of India,1997.3. SEGERLAND .L.J. - " Applied Element Analysis ", John Wiley and Sons Inc 1989.4. S.S.RAO - " The finite element method in Engineering " - Pergaman Press 1993.5. REDDY.J.N -" an introduction to finite element method " - McGraw Hill,International student edition1989.6. SHIRO KOBAYASHI et.a l - " Metal forming and finite element method " - Oxford University press ,1989.

PA036 Design for Manufacture 3 0 0 100

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INTRODUCTION

CASTING DESIGN AND WELDMENT DESIGN:

FORMED METAL COMPONENTS AND NON METALLIC PARTS DESIGN:

MACHINED COMPONENTS DESIGN

ADVANCED TECHNOLOGY REQUIREMENTS

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Economics of process selection-General design principles of manufacturability-Proper material selection-Strengthand mechanical factors-Application of form design.

Factors affecting casting design-Strength aspects-Sand casting and die casting design-Factors affecting weldmentdesign-Gas and arc welding design

Metal extrusion-cold headed parts-fine blanking-Tube and section bends powder metal parts-Thermo settingplastic parts-Reinforced -plastic/composite parts.

Turned parts-drilled parts-milled parts,planned ,shaped and slotted parts-Ground parts -parts produced by EDM.

Product design requirements for group technology concepts and CNC machining-Part family concept and designprinciples.


PA036 Design for Manufacture 3 0 0 100

References:

1. JAMES G.BRALLA - " Handbook of product design for manufacture ", McGraw Hill Book co.,19862. HENRY PECK - " Designing for manufacture ", Sir issac Pitman & Sons Ltd.,1973.3. MATOUSEK - " Engineering Design ", Blackie & Sons,1956.

PA038 Metal Forming Theory and Practice 3 0 0 100

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THEORY OF PLASTICITY:

THEORY AND PRACTICE OF BULK FORMING PROCESSES:

SHEET METAL FORMING:

P/M FORMING

SPECIAL FORMING PROCESSES

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Theory of Plastic deformation - Yield criteria - Work of plastic deformation - Equilibrium in Cartesian,Cylindrical and Spherical coordinates - Energy-Slab method - Upper bound and Lower bound solution methods -Overview of FEM Applications in Metal Forming Analysis - Formability studies

Analysis of Plastic deformation in Forging,Rolling,Extrusion and rod/wire drawing processes-Effects offriction,Calculation of forces,Work done-process parameters,equipments used -Defects-Applications-Recentadvances in forging, Rolling, Extrusion and drawing processes-Experimental techniques of evaluation of metalforming.

Conventional processes-H E R F techniques-Superplastic forming techniques-Principles and process parameters-Advantages -Limitations and Applications.

Overview of P/M technique-Advantages-applications-Powder preform forging-powder rolling-Tooling andprocess parameters.

Orbital forging-Isothermal forging-Hot and cold Isostatic pressing-High speed extrusion-Rubber pad forming-Water hammer forming-Fine blanking.


PA038 Metal Forming Theory and Practice 3 0 0 100

References:

1. SCHULER - " Metal Forming Handbook "- Springer Verlag Publication,19982. HOSFORD,WF and CADDELL,R.M. - " Metal Forming:Mechanics and Metallurgy ", PrenticeHall,Eaglewood Cliffs,19933. NARAYANASAMY.R. -" Theory of Metal Forming Plasticity ", Narosa publishers,New Delhi,19994. NAGPAL,G.R.- " Metal Forming Processes ", Khanna Publishers19985. CHAKRABARTHY,J-" Theory of Plasticity ", McGraw Hill Co,19876. ALTAN .T.-" Metal Forming-Fundamentals and applications-American Societyof Metals " , Metalspark,1983.7. SHIRO KOBAYASHI,SOO-IK-oh-ALTAN,T - " MetalForming and Finite Element Method ", OxfordUniversity Press,19898. DIETER,G.E. - " Mechanical Metallurgy(Revised EditionII) "- McGraw Hill Co,19809. Proc. of Short Term Course on "New Trends in Design and Manufacture of Tooling for Precision Metalforming processes"PSG College of Tech,Coimbatore,November ,1999.10. ALTAN T ,SOO-IK-oh,GEGEL,HL - "Metal Forming, fundamentals and applications",American Society ofMetals,Metals Park,Ohio,1983.

PA039 Advances in Casting and Welding 3 0 0 100

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CASTING METALLURGY AND DESIGN

SPECIAL CASTING PROCESSES:

WELDING METALLURGY AND DESIGN:

UNCONVENTIONAL AND SPECIAL WELDING PROCESSES:

RECENT ADVANCES IN CASTING AND WELDING:

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Heat transfer between metal and mould-Solidification of pure metal and alloys-Shrinkage in cast metals-progressive and directional solidification-Principles of grating and risering-Degasification of the melt-Designconsiderations in casting-Designing for directional solidification and minimum stresses-casting defects

Shell moulding,Precision investment casting,Co2,moulding,centrifugal casting,Die casting and Continuous casting.

Heat affected Zone and its characteristics-Weldability of steels,cast iron,Stainless steel,aluminium and Titaniumalloys-Hydrogen embrittlement-Lamellar tearing-Residual stress-Heat transfer and Solidification-Analysis ofstresses in welded structures-pre and post welding heat treatments-Weld joint design-Welding defects-testing ofweldment.

Friction welding- Explosive welding-Diffusion bonding-High frequency Induction welding-Ultrasonic welding-Electron beam welding-Laser beam welding.

Layout of mechanised foundry-sand reclamation-Material handling in foundry - pollution control in Foundry-Recent trends in casting-Computer Aided design of Castings,Low pressure die casting,Squeeze casting,full mouldcasting process.Automation in welding-Welding robots-Overview of automation of welding in aerospace,nuclear,surface transportvehicles and under water welding.


PA039 Advances in Casting and Welding 3 0 0 100

References:

1. JAIN, " Principles of Foundry Technology ", Tata McGraw Hill,3rd Edition,2000.2. " ASM Metals of Hand book on Casting " - Revised Edn,1995.3. LAL.M. and KHANNA.O.P-" A Text Books of foundry technology ", Dhanpat Rai & Sons,1996.4. " Foundry Engineering Handbook ", Utility publishers Ltd.,1989.5. TITOUN.D. & STEPANOV .YU.A.-" Foundry Practice ", MIR Publishers,Moscow,1981.6. HEINE LOPER & ROSENTHAL," Principls of Metal Casting ", Tata McGraw Hill,19807. P.C.MUKHERJEE," Fundamentals of Metal casting Oxford " - IBH,1979.8. IOTROWSKI-" Robotic welding-a guide to selection and application " - Society of MechanicalEngineers,1987.9. SCHWARIZ . M. M.,-"Source book on Innovative Welding Processes"-American society for metals (OHIO),1981.10.CORNU. J. ,-"Advaanced Welding systems"-Volumes I,II and III,JAICO Publishers,1994.11. LANCASTER . J.F. - "Metallurgy of Welding"-George Allen & Unwin Publishers,1980.12. Welding HandBook(Section I) American Welding Society,1986.13. KAZAKOV.N.F.-"Diffusion bonding of materials",MIR Publishers,Moscow,1985.14. SEROPE KALPAKJIAN-"Manufacturing Engineering and Technology(III Edition)".-Addison Wesley Publishing Co.199515. P.N.RAO - "Manufacaturing Technology (Foundry,Forming and Wekding)II Edition",Tata McGraw HillPub.Co. Ltd,.New Delhi,1998.

PA040 Total Quality Management 3 0 0 100

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EVOLUTION OF QUALITY:

TOOLS OF QUALITY:

TECHNIQUES OF QUALITY:

ISO 9000/QS 9000:

CASE STUDIES:

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Quality control-Quality Assurance-total quality management-Core concepts-Quality Gurus and their contribution-Quality costs-Quality measurement.

Review of SQC -Quality control Vs Process control-Control charts-Applications-Problems-Old and New seventools of quality-Applications.

Quality Function Deployment (QFD) -Failure mode effect Analysis(FMEA)- Just in time-KANBAN-KAIZEN-5SPrinciples-Zero defects-POKA-YOKE-Quality circles.

Philosophy-Elements-Requirements-Benefits-Procedures-Doccumentation-Certification-Auditing-Implementation-Cost of Certification.

Case studies in Quality Mangement (The students may be asked to select a case studies and present).


PA040 Total Quality Management 3 0 0 100

References:

1. MOHAMED ZAIRI - " Total Quality Management for Engineers "-Woodhead Publications,1991.2. John Bank, " Essence of TQM ", Prentice Hall of India, 19903.TAGUCHI .G. ,L. SYED et al', " Quality Engineeringproduction systems " - McGraw Hill ,1980.4. JURAN, - " Quality Control Handbook ", McGraw Hill,1995.5. ZAIDI,-SPC - " Concepts,Methodologies & Tools ", Prentice Hall of India,19906. FEIGENBAUM - " Total Quality Control ", McGraw Hill ,1995.7. VINCENT K. OMACHONU and JOEL E.ROSS - " Principles of Total Quality ", Kogan press,1994.8. PERRY L. JOHNSON - " ISO 9000 ",McGraw Hill,1993.

PA041 Maintenance and Reliability Engineering 3 0 0 100

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MAINTENANCE MANAGAMENT

TYPES OF MAINTENANCE

DIAGNOSTIC MAINTENANCE

CONCEPTS OF RELIABILITY

DESIGN FOR RELIABILITY

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Need for maintenance-Objective- Concepts-Types of maintenance-Organisation-Trade force mix,type andlocation-Maintenance costs-Benefits-Computer Aided Mintenance management-Total productive maintenance-concepts.

Breakdown and Preventive maintenance-Advantages and Limitations-Maintenance prevention-Diagnosticmaintenance-Design out maintenance-Opportunity maintenance.

Leak detection-wear monitoring-Temperature monitoring-Vibration monitoring-Signature analysis-Shockmonitoring-Lubricant-Analysis-Methodology-Equipments-Applications

Elements of Probabaility-Reliability Definition-Measures of Reliability-Failures-Classification of failures-Failuredata Analysis-Avaialability-Criticality matrix-Event tree analysis-Utilization factor-Factors affecting reliability.

Analysis of reliability data-Weibull analysis-Design and manufacture for Reliability-Reliability of parts andcomponents-Design for system reliability-Economics of standby or redundancy in a production system-reliabilitytesting-Types.


PA041 Maintenance and Reliability Engineering 3 0 0 100

References:

1. HIGGINS and MORROW,-" Maintenance Engineering Handbook ", Tata McGraw Hill,1985.2. COLLACT, " Mechanical Fault Diagnosis and Condition monitoring "- McGraw Hill-1985.3. MILLER & BLOOD .- " Modern maintenance Management " -Tarapoorwala & sons,1976.4. JENTRY EJ and KUMAMOTO,H, " Reliability Engineering and Test assesment ", Prentice Hall,1992.5. CARTER,A.D.S. " Mechanical Reliability ",-Macmillan,1984.6. NAKAJIMA.S.. ," Introduction to TPM " - Total Productive Maintenance Productivity Press-1995.7. O'CONNOR,P.D.T', " Practical Reliability Engineering ", John Wiley-1994.8. KELLEY.A.&M.J.HARRIS,-" Management of Industrial Maintenance" , Newnes-Butter worth.

PA042 Systems and Simulation 3 0 0 100

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INTRODUCTION TO SYSTEMS AND SIMULATION

RANDOM NUMBER

DESIGN OF SIMULATION EXPERIMENTS

SIMULATION LANGUAGE

CASE STUDIES/MINI PROJECT

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8

8

10

10

Basic concepts of systems,General systems,Elements of systems,theory,concept of simulation-Simulation as adecision making tool-types of simulation-System modelling and types of modelling-desk and bench marksimulation.

Probability and statistical concepts of simulation-Pseudo random numbers-Methods of generating randomvariables-Discrete and continuous distributions-Testing of random numbers-Sampling-simple random andsimulated.

Problem formulation-Data collection and reduction time flow mechanism-Key variables-Logic flowchart startingcondition-Run size-Experimental design consideration-Output analysis and interpretation,validation-Application ofsimulation in Industries,Engineering and scientific organisations.

Use of digital computer in simulated sampling -Comparison and selection of simulated languages-Analysis-Studyof any simulation language-Modification of simulation models using simulation language.

Development of simulation models using the simulation language studied for systems like:Queueing systems-Production Systems-Inventory systems-Maintenance and replacement systems-Investment analysis and network.


PA042 Systems and Simulation 3 0 0 100

References:

1. JERRY BANKS and JOHN S.CARSON," Discret event system simulation ", Prentice Hall,1984.2. R.E.SHANNON," Systems simulation ,the art and science ", Prentice Hall,1975.3. JOE H. MIZE AND J. GRADY COX," Essentials of simulation ", Prentice Hall Inc.1968.4. JEFFREY L. WHITTEN,LONNIE D.BENTLEY AND VICTOR M.BARICE, " System analysis and design methods ", Calgotia Publications Pvt Ltd.,19915. THOMAS J. SCHRIBER, " Simulation using GPSS ", John Wiley,1974.

PA043 Diagnostic Techniques 3 0 0 100

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DEFECTS AND FAILURE ANALYSIS

MAINTENANCE SYSTEMS

SYSTEMATIC MAINTENANCE

COMPUTER MANAGED MAINTENANCE SYSTEM

CONDITION MONITORING

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Defect generation-types of failures-Defects reporting and recording-Defect analysis-Failure analysis-Equipmentdown time analysis-Breakdown analysis-FTA,FMEA,FMECA.

Planned and un planned maintenance-Breakdown maintenance-Corrective maintenance-Opportunisticmaintenance-Routine maintenance-Preventive maintenace,Predictive maintenance-Condition based maintenancesystem-Design out maintenance-selection of maintenance system.

Codification and Cataloguing-Instruction manual and operating manual-Maintenance manual and Departmentalmanual-Maintenance time standard-Maintenance work order and work permit -job monitoring-Feedback andcontrol-Maintenance records and documentation.

Selection and scope of computerization-Equipment classification-Codification of breakdown,material andfacilities-Job sequencing-Material management module-Captive Engineering module.

Condition monitoring techniques-Visual monitoring-Temperature monitoring-vibration monitoring-Lubricantmonitoring-Cracks monitoring-Thickness monitoring-Noise and sound monitoring-condition monitoring ofhydraulic system.Machine diagnostics-Objectives-Monitoring strategies-Examples of monitoring and Diagnosis-Control structures for machine diagnosis.


PA043 Diagnostic Techniques 3 0 0 100

References:

1. SUSHIL KUMAR SRIVASTAVA - " Industrial Maintenance Management", S.Chand & companyLtd.,NewDelhi-1998.2. MANFRED WECK, H.BIBRING - " HandBook of Machine Tools,Vol 3.", John Wiley &Sons.

PA044 Image Processing in Manufacturing 3 0 0 100

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INTRODUCTION

IMAGE PROCESSING FUNDAMENTALS

IMAGE ANALYSIS

PRACTICAL IMAGE PROCESSING

APPLICATION IN MANUFACTURING

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Image representation and nomenclature-Relationship of image processing and computer vision-Digital imagefundamentals-Geometric model for imaging and applications- Imaging requirements.

Image transformers-Sampling-Enhancement-Restoration and conversions-Segmentation-Thresholdingrepresentation and dsecription.

Processing binary images-Image measurements - Multilevel image analysis-Higher dimensional modelling-Imagebased knowledge manipulation

2D/3D Im age acquisition-3D image Visualisation- Imaging surfaces-Image processing system components.

Study of surface finish - Sorting and counting of objects -Tool Wear measurement,measurement technique=-Robot application.


PA044 Image Processing in Manufacturing 3 0 0 100

References:

1. JOHN C RUSS - " The Image Processing Hand Book,III Edition " , CRC Press/IEEE Press,20002. ROBERT J SCHALKOFF -" Digital Image Processing and Computer Vision ", John Wiley & Sons Inc,19983. RAFEL C, GON ZALEZ & RICHAR E WOODS - " Digital Image Processing ", Addison WesleyPublishing,1993.4. RAMESH C JOHN - " Introduction to machine vision ", 1995,Tata Mc Graw Hill.

PA045 Advances in CNC Systems 3 0 0 100

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BASIC CONCEPTS OF CNC MACHINES:

CNC SYSTEM:

PROGRAMMING OF CNC MACHINES

TOOLING FOR CNC MACHINES

SPECIAL TYPES OF CNC MACHINES:

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Introduction-Classification-Construction details of CNC machines-machine structure,guideways,feed drives-Spindle,measuring systems-Drivers and controls-Spindle drives,feed drives,D.C. drives-A.C.drives.

Introduction -Configuration of CNC system-Interfacing-Monitoring-Diagnostics-Machine data-Compensations formachine accuracies-PLC programming-DNC-Adaptive control CNC systems.

Various programming techniques-APT programming for various machines in ISO and FANUC CAM packagesfor CNC machines-IDEAS,Unigraphics,Pro-Engineer,CATIA,ESPIRIT etc.

Interchangeable tooling system-preset and qualified tools-coolant fed tooling system-Modular fixturing-quickchange tooling system-Automatic head changers-Tooling requirements for turning and machining centres-Toolholders-tool assemblies-tool magazines-ATC mechanisms-tool management.

CNC grinding machines,EDM, wire cut EDM,Punch press-Installation,Maintenance-Testing andPerformance,Evaluation of CNC machines


PA045 Advances in CNC Systems 3 0 0 100

References:

1. RADHAKRISHNAN,P., - " Computer Numerical Control Machines ", New Central Book Agency,19962. SEHRAWAT,M.S.and Narang,J.S.., - " CNC Machines ", Dhanpat Rai and Co,,19993. " Mechatronics ", HMT Limited,TATA McGraw Hill,Publishing Company Ltd.,1998.4. THYER,G.E. - " Computer Numerical Control of Machine Tools ", B.H.Newberg,1991.5. KRAR.S. - " CNC Technology and Programming ", McGraw Hill,1990.

PA046 Special Purpose Machine Tools 3 0 0 100

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INTRODUCTION TO AUTOMATION

AUTOMATIC AND SEMIAUTOMATIC LATHES

AUTOMATIC LOADING AND FEEDING DEVICES:

TRANSFER MACHINES

AUTOMATIC LOADING AND TRANSFERING METHODS

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Automation Production System-Features of fixed automation and programmable automation reasons forautomating-Socio-economic relevance of automation.

Classification-Cam-mechanisms used in automats-general layout and features of autolathe-Automatic screwmachine sliding head automatic lathe,multispindle automatics-Mechanisms-Bar feeding mechanisms-Bar feedingmechanosms-Tool layout for automats-Principles of design of cams for automats.

Classification-Types of magazines feeding and hopper feeding devices-Escapements and feeders-Device fororientation-Vibratory bowl feeders.

Introduction ,Merits and limitations-Product design for transfer machine-Selection of transfer devices-Types ofautomatic transfer machines-Main features of automatic transfer machines-In-line,rotary indexing table and drumtype machines.

Inspection and tool servicing in transfer lines-Transfer press-Linked lines-concept of modular design and unithead-Modular design and unit heads for machine tool.


PA046 Special Purpose Machine Tools 3 0 0 100

References:

1. M.P. GROOVER - " Automation production systems and computer integrated manufacturing " - PrenticeHall Inc.,New Jersey,1980.2. B.L.BOGUSLAVSKY - " Automatic and semi automatic Lathes " - automatic lathes-PeacePublishers,Moscow.3 H.C.TOWN - " Automatic Machine Tools " - life Books Ltd.,London,1968.4. SEN & A.BHATTACHARYA - " Principles of machine tool " - New central Book Agency,1975.5. HASLE & HUREST - " Manufacturing technology " - Hodder and Stoughton ,Great Britain,1981

PA047 Design Principles and Optimization 3 0 0 100

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INTRODUCTION

DESIGN AND ANALYSIS OF CNC SYSTEMS

EXPERIMENTAL DESIGN METHODS

VARIANCE ANALYSIS AND TIME SERIES ANALYSIS

STATIC AND DYNAMIC DEFORMATIONS IN MACHINING:

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Introduction to Enginering design-Problem identification-Creativity-Concept selection -Embodiment-Modeling-Detail design.

Machine tool drives-Transfer function of the position loop-state space model of feed drive-Velocity commandgeneration-Real time Interpolation-Digital Position control system design.

Applying the methods according to situation-problem analysis and experiment parameter reduction.

Variance analysis and time series analysis and Taguchi's Experiment design-robust design-SimultaneousOptimization of product and manufacturing process-Response surface methodology(RSM)-Genetic algorithm.

Machine Tool structure-dimensional form errors structural vibrations in machining-Chatter Vibration in cutting.


PA047 Design Principles and Optimization 3 0 0 100

References:

1. YUSNF ALFINATOR - " Manufacturing Design ", Cambridge University press-20002. KENNETH S HEWST - " Engineering design principles ", Arnold press-2000.3. J.KROTTMAIES - " Optimizing engineering Design ", McGraw Hill,2000.

PA048 Manufacturing System Design 3 0 0 100

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INTRODUCTION TO MANUFACTURING SYSTEMS ENGINEERING

PRODUCTION CONTROL

LOADING AND SCHEDULING

MATERIAL FLOW PATH ANALYSIS IN MANUFACTURING

LAYOUT OF MANUFACTURING SYSTEMS

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Process Planning-Logical design of a process planning-Shortcomings of traditional process planning-Computeraided process planning-Computerization of files management-Variant(Retrieval) approach-generative approach-Semi generative approach-General remarks on CAPP developments and trends.

Overview of production control-Forecasting-Master production schedule-Materials requirements planning-Orderrelease-shop floor control-Cellular manufacturing-JIT and MRP II-Computer generated time standards.

Information retrieval for loading and scheduling-master scheduling-perceptual loading-despatching progresschasing-expediting-order scheduling devices

Material handling function-Types of equipment used-conveyor systems-Automated guided vehicle systems-Guiding and routing-Traffic control and safety-Interfacing handling and storage with manufacturing-design factorsin material handling systems.

Plant layout-Definition-Objectives-Principles-Factors influencing layout-Types of layout cellular layout-Valueanalysis and engineering-Tools and tooling system for cell manufacturing


PA048 Manufacturing System Design 3 0 0 100

References:

1. G.HALEVI ANS R.D.WEILL, " Principles of Process Plannning,Chappman and Hall ", Madras 1995.2. M.P.GROOVER, " Automatic Production system and computer integrated manufacturing ", PrenticeHall,1990.3. BARY HAWKES ," CAD,CAM Processes ",1990.4. EVERT E. ADAMS Jr AND DONOLD J. EBERT, " Production and Operation Management ", PrenticeHall of India,19945. S.N.CHARY, " Production and Operations Management ", Tata McGraw Hill,New Delhi,1991.

PA049 Human Factors in Engineering 3 0 0 100

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INTRODUCTION

ANTHROPOMETRY

DESIGN OF SYTEMS

ENVIRONMENTAL FACTORS IN DESIGN

WORK PHILOSOPHY

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Concepts of human factors enginering and ergonomics-Man-Machine system and Design Philosophy-Physicalwork-Heat stress-manual lifting-work posture-repetitive motion.

Physical dimensions of the human body as a working machine-Motion size relationships-Static and dynamicanthropometry-Anthropometric acids-Design principles-Using anthropometric measures for industrial design-Procedure for anthropometric design

Displays-Controls-Work place-Seating-Workprocess-Duration of rest periods-Hand tool design-Design of visualdisplays-Design for shift work

Temperature-Humidity-Noise-Illumination and contrast-Use of Photometers-Recommended illumination levels-The ageing eye-Use of indirected (Reflected) lighting - Cost efficiency of illumination-Special purpose lighting forillumination and quality control-Measurement of sound-Noise exposure and hearing loss-Hearing protectors-analysis and reduction ogf noise-Effects of noise performance-annoyance of noise and interface withcommunication-Sources of vibration discomfort it.

Provision of energy for muscular work-Role of oxygen physical exertion-Measurement of energy expenditure-Respiration-Pulse rate and blood pressure during physical work-Physical work capacity and its evaluation.


PA049 Human Factors in Engineering 3 0 0 100

References:

1. E.J.McCORMIC, " Human factors in engineering design ", McGraw Hill 1976.2. P.V.KARPOVICH,W.E.SINNING, " Physiology of muscular activity ", W.E.Saunders Co.1971.3. " Applied Ergonomics HandBook ", I.P.C. Science and Technology Press.19784. Martin Helander, " A guide to the Ergonomics of manufacturing ", East West Press,1996.

PA050 Engineering Economics and Financial Management 3 0 0 100

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FINANCIAL ACCOUNTING

COSTING

WORKING CAPITAL MANAGEMENT

CAPITAL BUDGETING

ENGINEERING ECONOMICS

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Accounting Principles-Basic records depreciation-Depreciation methods-Preparation and interpretation of profitand loss statemement-Balance sheets-Fixed assets-Current assets.

Elements of cost -Cost Classification-Material cost-Labour costs-Overheads-Costs of a product-Costing systems-Cost determination-Process costing-Allocation of overheads-Standard costing-Variance analysis.

Current assets and Liability decisions-Estimation of working capital requirements-Management of accountsrecievable-Inventory-cash- inventory valuable methods.

Significance of capital budgeting-payback period-Presnt value method-Accounting rate of return method.

Economics-Engineering economics-Demand analysis-Laws of demand-Production and cost-pricing methods-Cost volume profit analysis


PA050 Engineering Economics and Financial Management 3 0 0 100

References:

1. C.JAMES , VANHORN, " Fundamentals of Financial management " , PHI 1996.2. CHARLES T.HOMGREN, " Cost accounting ", PHI 1985.3. S.N.MAHESWARI, " Management Accounting and Financial Control ", Sultanchand,1992.4. PRASANNA CHANDRA, " Financial Management ", Tata Mc Graw Hill 19985. J.L.RIGGS, " Engineering Economics ", McGraw HILL,1987.6. G.B.S.NARANG, " Production and costing ", Khanna Publishers,1993.

PA051 Purchasing and Material Management 3 0 0 100

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INTRODUCTION

MATERIALS PLANNING AND INVENTOREY MANAGEMENT

MATERIALS STORAGE AND WAREHOUSING

PURCHASING

MATERIALS ACCOUNTING,BUDGETING AND ADMINISTRATIVE CONTROL

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Objectives of material management-material circle-Organisation for material management-Intergrated materialsmanagement approach-Organisation and control-Materials research-Corporate policy-Value analysis

Materials forecasting-Selective inventory control-Fixed order size and fixed order interval systems-Deterministicmodels-Static inventory models-Probabilistic models-ABC Analysis-Spare parts management--Materialsrequirement planning and aggregate inventory management-Implementation of inventory systems.

Standard - Variety reduction-Codification-Storage designs-Store layout-Storage systems-Mechanisation ofautomation of warehouses-Materials handling-transportation and traffic management-Stores management-Procedure-Incoming materials control,Obsolete,Surplus and Scrap management.

Purchasing policies and procedures-Legal aspects of purchasing-Selection of sources of supply-Make or buydecisions-Vendor development-Price-Cost analysis and negotiations-Forward buying-Speculation- Commoditymarkets-Capital equipment buying-Imports and customs clearance-Purchasing research-Creative purchasing

Materials accounting-Stock verification-Budgeting,Evaluation of materials management performance-Informationsystems in material management-Buyer seller relationships in ethics. Application of operations researchtechniques in material managements.


PA051 Purchasing and Material Management 3 0 0 100

References:

1. P.GOPALAKRISHNAN and M.SUNDARESAN, " Materials Management Intergratecd approach ", PHI19962. LEARNERr LEE Jr. and DONALD .M.DOBBLER, " Purchasing and Material management ", TataMcGraw Hill,19963. J.K.WESTING,I.V.FINE and C.T.ZONE, " Purchasing Management ", John Wiley and Sons,1976.4. J.G.MONKS, " Operation Management ", McGraw Hill,1984.5. M.K.STARR, " Operations Management ", Prentice Hall,1982.

PA052 Advances in Production Management 3 0 0 100

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ADVANCED TOPICS OF LINEAR PROGRAMMING

GEOMETRIC PROGRAMMING

SIMULATION

MARKOV PROCESS

NONLINEAR PROGRAMMING

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Revised simplex method-Introduction of additional constraints-Goal programming-Multi objective linearprogramming-Integer Programming techniques-all integer,mixed integer-Zero one type integer programmingproblems.

Unconstrained minimization-Constrained minimisation-Stochastic programming-Stochastic linear programming-Stochastic non linear programming-Stochastic dynamic programming

Methodology-Computer generation of random numbers-Modelling theoretical distributions-Validation ofsimulation models-Application of simulation in various functional areas-Flow charting/Programming.

Goal Programming-Investment theory-Replacement theory-Reliability theory-Quadratic Programming-SeperableProgramming.

Constrained and Unconstrained optimization methods-equality constraints-inequalityconstraints-Lagrangesmultipliers Taylors Series Expansion


PA052 Advances in Production Management 3 0 0 100

References:

1. HARDY A. TAHA, " Operations research-an introduction ", College of McMillan international Inc.,NewYork,1997.2. S.S.RAO, " Optimization Theory and Applications ", Wiley Eastern Ltd.,New Delhi,1984.3.PHILLIPS, RAVINDARAN, SOLESBERG, " Operations Research principles and Practices ", PrenticeHall,1981.4 M.S.BAZARAMand SHETTY, " Non-Linear Programming, Theory and Applications " , John Wiley,1979

anna university me manufacturing engineering

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