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MIT OpenCourseWare http://ocw.mit.edu 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of Engineering Design Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

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Page 1: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

MIT OpenCourseWare http://ocw.mit.edu

2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of Engineering Design Spring 2009

For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

Page 2: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design

2.00AJ/16.00AJSpring 2009

Lecture # 2

Prof. Alex Techet

Page 3: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

FUNdaMENTALs of Design

Image from Wikimedia Commons,http://commons.wikimedia.org

I have no special talents. I am only passionately curious. -Einstein

• “Design is a Passionate

process” -Prof. Slocum

• Never stop asking questions, seeking a better, simpler solution!

• (Play, SKETCH, Model, Detail, Build, Test)N

• Design is an iterative

Library, http://openclipart.org

process.

Image from Open Clip Art

Page 4: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Courtesy of Alex Slocum. Used with permission.

Page 5: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Image removed due to copyright restrictions. Please see the cover of Numeroff, Laura Joffe. "If You Give a Mouse a Cookie." New York, NY: Harper & Row, 1985.

Courtesy of Alex Slocum. Used with permission.

Page 6: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Images from Open Clip Art Library, http://openclipart.org and Wikimedia Commons, http://commons.wikimedia.org

Courtesy of Alex Slocum. Used with permission.

Page 7: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Courtesy of Alex Slocum. Used with permission.

Page 8: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Courtesy of Alex Slocum. Used with permission.

Page 9: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Courtesy of Alex Slocum. Used with permission.

Page 10: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

©2000 Alexander Slocum; From 2.007 notes

Courtesy of Alex Slocum. Used with permission.

Page 11: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Example: Experimental Design • Design an apparatus that mimics the motion of a fish

backbone

MIT RoboTuna

Images from: Borelli, Giovanni. De Motu Animalium. Rome, Italy: Angeli Bernabo, 1680.Pettigrew, James Bell. Animal Locomotion. New York, NY: D. Appleton & Co., 1873. Houssay, F. Forme, Puissance, et Stabilité des Poissons. Paris, France: A. Hermannet fils, 1912.

Figure by MIT OpenCourseWare.

z u = 0 v > u v = u

A

x

2λb

1

2λb

12λs

1

2λb

12λb

12λs

1

a

b

c

The motion of a fish can be described as a sinusoidal wave of the body with backward velocity v, moving the fish forward with overall velocity u. (a) Demonstrations of this motion with constant amplitude A, for different values of u. (b) In reality, the amplitude increases linearly along the fish's body. (c) Recorded movements of a cod 0.42 m in length, swimming at 0.9 m/s.

Page 12: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Fish Swimming: Hypothesis Flow over a waving boundary tends to laminarize flow

Traveling wave motion:

• Taneda (1974) shows that flow does not separate off the crest of a waving boundary if the wave phase speed is greater than the free stream speed.

• Numerical simulations by Zhang (2000) illustrate a decrease in turbulence intensity for phase speeds greater than Uo.(Cp/Uo = 1.2) at RL = 6000.

Cp = /k

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Evidence: Flow separation is deterred by traveling wave motion

Uo > Cp Uo < CpTaneda (1977)

Courtesy Elsevier, Int., http://www.sciencedirect.com. Used with permission.

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Design an Experimental Study to get qualitative answers

Reynolds numbers up to 106

y(x)=a(x)sin(kx- t)

L = 1.25* (Mat Length)�

= 1.0 m

a(x) = x/16 amax = 0.064 m

=2 f; k = 2 / �

Page 15: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Sketches: Crank-Arm-Piston Assembly

PreliminaryAnalysis

PreliminarySketches

Page 16: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Crank Arms

Page 17: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Final PistonAssembly

Crank Sprocket Traveling wave motion is created by Crank Arm

Linkagea system of eight Armpiston rods which

Bearing Housing

are driven vertically by a crank-arm Piston Rod linkage mechanism.

Page 18: 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of … · 2020-03-10 · Exploring Sea, Space & Earth: FUNdaMENTALs of Engineering Design 2.00AJ/16.00AJ Spring 2009 Lecture

Drive Mechanism The plate is driven

by a 1/3-Hp DC

motor and common

drive shaft

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Waving Mat Mechanism

DC Motor

CrankMechanism

Waving Mat

MITPropellerTunnel

Piston Rods

Uo

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Waving Mat Construction

Over one wave cycle the mat must be allowed to

change length to avoid being stretched, so sliders are

built to accommodate this motion, springs enforce

smooth motion.

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Delrin Sliders

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From 3D Cad to actual apparatus

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2D drawings

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3D CAD