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  • 8/2/2019 ENGIN - Heat Treatment for Stronger Aerospace Gears

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    24 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com

    It is well established that carburiza-

    tion of low alloy steels promotes

    compressive residual surface stress

    upon quenching, and that compres-

    sive surface stresses enhance fatigue

    life. Building upon these principles, a

    U.S. Army sponsored project is in prog-

    ress to improve helicopter gear fatigue

    life through innovative quenching and

    the achievement of deeper compressive

    surface stress. The Army has established

    a goal to improve the power density andlife of helicopter transmissions. Using

    Pyrowear 53 alloy steel, notched test

    bars and full test gears have been heat

    treated by carburizing, quenching, deep

    freezing, and tempering. The quench

    methods examined were conventional

    oil quenching and intensive quenching.

    Bending fatigue results for these pieces

    will be discussed in conjunction with heat

    treatment finite element simulation and

    X-ray analysis of combined heat treatment

    residual and gear loading stresses.

    BackgroundThe steel alloy Pyrowear 53 is being

    increasingly used in helicopter transmis-

    sion gear applications for the U.S. Army,

    based primarily on its resistance to tem-

    pering at high temperatures and excellentfatigue strength. These attributes are criti-

    cal in attack helicopter applications where

    the transmission assembly is required to

    function under severe conditions wherein

    loss of gear lubrication can occur. The

    assembly must be able to operate witho

    breakdown for a 30-minute time period

    in the absence of internal lubrication or

    cooling, and thus the need for a highly

    temper resistant alloy. Pyrowear 53 ha

    a unique alloy content, as indicated in th

    alloy chemistry data presented in Table

    The alloy content for this material is

    specifically designed to achieve resis-

    tance to softening at high temperatures

    and retain hot hardness in the carburizecase, while maintaining high core impact

    strength and fracture toughness.

    A variety of innovative processing

    techniques continue to be advanced to

    C

    0.10

    Mn

    0.35 1.00 1.00 2.00 3.25 2.00 0.10

    Si Cr Ni Mo Cu V

    TABLE 1: PYROWEAR ALLOY 53 BASE COMPOSITION

    By A.M. Freborg, B.L. Ferguson, Z. Li, D.X. Schwam, and B.J. Smith

    24 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com

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    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

    enhance material performance through

    manufacturing, processing, and finishing.

    For applications where part life is limited by

    fatigue, significant life enhancement can be

    realized by introducing compressive stress-

    es in the part surface, and by eliminating

    stress concentration factors.

    Of primary interest in this project was

    the investigation and application of a novel

    heat treatment process called Intensive

    Quenching to facilitate enhanced residual

    surface compressive stresses, with con-

    sequent material fatigue life improvement

    [1-3]. Developed by Nikolai Kobasko, the

    Intensive Quenching (IQ) process is an

    alternative way of quenching steel parts to

    achieve deep residual compression in part

    surfaces. The technology is based in part

    on the achievement of a large thermal gradi-

    ent in the part by rapid surface cooling. In

    non-carburized parts the process has been

    shown to provide an extremely rapid and

    uniform transformation to martensite in the

    part surface layers while the core remains

    austenitic. This condition creates a very

    hard shell on the part that is under a state

    of compression. As the hot austenitic core

    cools and thermally contracts, the level of

    surface compression is deepened signifi-

    cantly. When the core subsequently trans-

    forms from austenite and expands there

    is some reduction in the level of surface

    compression, but the final level of surface

    compression in the IQ treated component

    remains much higher than that of a conve

    tionally quenched component [4-7].

    For this program the premise for adapt-

    ing this technology to carburized Pyrowear

    53 was explored, with the goal of achievin

    comparable or improved surface compres-

    sion enhancement as witnessed in non-

    carburized material. While carburization is

    designed to achieve surface compression

    in quenched parts by delaying formation o

    surface martensite, the potential for

    intensive quenching to foster additional

    enhancement was a key factor of this

    investigation.

    An ongoing project sponsored by the

    U.S. Army and headed by Deformation

    Control Technology, Inc., is

    providing important insights into

    an innovative quenching process.

    The authors wish to acknowledge the support of B. Smith and E. Ames of the U.S. Army AATD for their support of this work though the SBIR projec

    #W911W6-05-C-0017. Appreciation is also expressed to B. Hansen of Sikorsky Aircraft Corp.; S. Rao of the Gear Research Institute; T. Krantz of th

    Army Research Laboratory at NASA-Glenn; and J. Powell, M. Aronov, and N. Kobasco of IQ Technologies in Akron, Ohio. Program results describin

    work in progress were presented at the American Helicopter Society (AHS) International Conference in May 2006.

    ACKNOWLEDGEMENTS:

    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

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    34 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com

    Heat Treating and Test Loading

    Simulation

    As with the notch bar, an analytical

    approach was taken for the test gear heat

    treatment assessment with respect to

    both quench flow and fixturing design. A

    proprietary fixture and channeled flow sys-

    tem was developed for intensive quench

    process, and a comparative heat treat-

    ment simulation study conducted to com

    pare the predicted residual stress profile

    between the intensive and oil quenched

    gears.

    The resulting magnitude and distributi

    of predicted residual stresses for both

    quenching processes are shown in the

    contour plot illustrated in Figure 15. The

    figure illustrates the residual stress con

    tours though the mid-plane cross section

    of the gear.

    While both quench methods are pre-

    dicted to produce nearly identical stress

    in the tooth itself, both magnitude and

    distribution of the compressive stress in

    the root are markedly increased by inten

    sive quenching. The quantitative differen

    es are clearly seen in direct comparison

    of stress profiles at three locations in th

    tooth/root cross section (Figure 16).

    Here again, as in the notch bar speci-

    mens, heat treatment simulation provide

    useful predictive data concerning magni-

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    Quench to Fixtured Gear

    PHYSICAL CONFIGURATION OF INTENSIVE

    QUENCHING SYSTEM FOR QUENCHING THE

    PYROWEAR 53 TEST GEAR

    FIGURE 20:

    FIGURE 21:

    LOCATIONS FOR X-RAY RESIDUAL STRESS

    PROFILES IN OIL AND INTENSIVE

    QUENCHED TEST GEARS

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    Process No. Gears Tests/Gear Total

    Standard OilQuench

    12 6 72

    IntensiveQuench

    12 6 72

    TABLE 5: TEST MATRIX FOR PHASE IA

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    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

    tude and distribution of the gear residual

    stresses. Figures 17-19 show the predict-

    ed residual stress profiles between the

    oil and intensive quenched simulations

    at the three locations shown in Figure16. While the tooth section (A) shows

    consistent residual compression between

    the two quenches (Figure 17), surface

    and subsurface compression at the tooth

    base (B) (Figure 18) and root center (C)

    (Figure 19) show significant increases in

    residual compression to a depth of 1.5

    mm (0.059). This depth is slightly below

    the carburizied case depth of ~0.050.

    For the tooth base the predicted increase

    is from 71 ksi to 102 ksi, and for the cen-ter root from 46 ksi to 90 ksi.

    Based on the modeling results, physical

    test gear specimens were subsequently

    processed through both oil and intensive

    quenching. Based on the heat transfer,

    quench flow characteristics, and process

    sensitivity determined from the DANTE

    simulation work, an intensive quench fix

    turing system was designed for the test

    gear by IQ Technologies of Akron, Ohio.

    The system was designed to be readilyintegrated within pre-existing IQ process-

    ing equipment, demonstrating ready

    adaptation of the technology within a

    typical heat treatment manufacturing cel

    An illustration of the system is shown in

    Figure 20.

    FIGURE 22:

    COMPARISON OF PREDICTED VS. MEASURED RESIDUAL

    STRESS PROFILES AT TWO LOCATIONS IN TWO HEAT

    TREATED PYROWEAR 53 TEST GEARS.

    FIGURE 23:

    COMPARISON OF RESIDUAL STRESS PROFILES AT TOOTH BASE

    IN UNLOADED (HEAT TREAT RESIDUAL STRESS ONLY) AND

    LOADED (COMPOSITE STRESS) CONDITIONS.

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    Material Characterization for Heat Treatment AnalysisProper mechanical and kinetics material property data are critical to

    the accurate application of any simulation technology to process mod-

    eling. For heat treat simulation, the required mechanical characteriza-

    tion includes material stress-strain behavior by phase over the range

    of stain rates and temperatures encountered during a given heat treat

    process. Linkage with corresponding phase transformation models

    then provides the general capability for the overall material model. The

    heat treatment simulation software DANTE links both the mechanical

    behavior model and the phase transformation kinetics models to accu-

    rately predict the material response to heat treatment, specifically with

    respect to metallurgical phase volume fraction, residual stress, and

    distortion [8-10].

    In defining material behavior, DANTEs material model incorporates

    both rate dependent and independent yielding, kinematic and isotropic

    hardening, and recoveryall as functions of temperature and metal-

    lurgical phase. Isothermal, strain rate controlled tension, and com-

    pression tests were run to characterize the stress-strain behavior of

    Pyrowear 53 as a function of temperature and carbon level. From these

    stress-strain data the mechanical parameters for DANTEs mechanical

    model were determined and entered into the steel database.

    The function of the kinetics model is to define the phase transforma-tion behavior of the given steel within the heating and cooling tempera-

    tures and rates of the process. For the DANTE software, a complex set

    of differential equations is used to describe the phase transformation

    behavior for both diffusive (i.e. austenite formation or austenite decom-

    position to ferrite, pearlite, or bainite) and non-diffusive (i.e. austenite

    decomposing to martensite) transformation processes. This set of

    equations is then coupled with the equations governing the mechanical

    and thermal behavior of the material being subjected to the process

    scenario under consideration. Mechanical property data for the carbu-

    rized Pyrowear 53 material were obtained by tensile and compression

    tests conducted at a variety of strain rates and temperatures, for vary-

    ing carbon levels [11].

    Phase transformation data for the kinetics models are obtained prin-

    cipally by dilatometry. For the Pyrowear material samples were through-

    carburized to four carbon levels (0.1, 0.3, 0.5, and 0.8 percent by

    weight), and then provided to Oak Ridge National Laboratory for testing

    using their high speed quenching dilatometer.

    Steel phase transformation kinetics are most commonly presented

    in the form of isothermal Time-Temperature-Transformation (TTT) or

    Continuous Cooling Transformation (CCT) diagrams. For the subject

    Pyrowear steel, Carpenter Technology Corporation was able to provide

    a simple TTT diagram and critical temperatures. From this figure,

    several important heat treating characteristics of Pyrowear 53 were

    evident. The supplied data indicated that the steel is highly resistant

    to diffusive phase transformation, with the ferrite/pearlite nose occur-

    ring at 704 C (1300 F) after quickly cooling from the austenite rang

    and holding for 15 minutes. This helps to explain the high hardenabil

    of this steel. The specified core martensite start temperature is 510

    C (950 F), and the associated carburized case martensite start tem

    perature is 130 C (265F) [1,2]. Consequently, phase transformatio

    kinetics characterization for simulation focused primarily on the auste

    ite-to-martensite transformation. The material kinetics parameters we

    implemented into the DANTE steel database after mathematical fittin

    of dilatometric data obtained through testing a series of carburized

    samples on ORNLs quenching dilatometer [11].

    Sound material data, linking mechanics with phase transformation

    predictive capability, is essential for accurate implementation of simu

    tion technology to process modeling. The robust design of the DANTE

    material constitutive model, coupled with the detailed Pyrowear 53

    material characterization data, provided a solid foundation for the pro

    cess simulation work required in this project.

    Objectives and Program OutlineThe primary objective of this program was to demonstrate the

    potential for improving the bending fatigue strength of Pyrowear

    53 steel used for helicopter transmission gears by heat treat-

    ment. The Armys Rotorcraft Force Modernization Fleet requires asubstantial increase in main gearbox power density, with minima

    impact on the gearbox interface.

    In lieu of redesigning gears and increasing gearbox size and

    transmission weight, the program focused on achieving the highe

    power density requirement through application of an innovative

    heat treating process. To achieve this objectiveand demonstra

    technical, engineering, and commercial feasibility for the innova-

    tionan evaluation program consisting of a combination of pro-

    cess simulation and physical experiments was defined. The prin-

    cipal goal was to establish two independent material populations

    based solely on differences in heat treatment, with simulation,

    physical testing, and bending fatigue test results used to charac

    terize improvement, based principally on the effect of enhanced

    residual surface compressive stresses. The program is outlined

    as follows:

    Define heat treatments to be examined (isolation of heat treati

    effects with respect to residual stress)

    Establish testing program for feasibility assessment

    Predictive materials engineeringsimulate heat treatments

    Processing and testing of sample coupons

    Evaluate results

    Assess process sensitivity and enhance process control

    Evaluation and testing of refined process

    Implement analysis and physical testing in full gear component

    FIGURE 1: FIGURE 2:

    Carburized Surface

    MODIFIED V-NOTCH SAMPLE CONFIGURATION SCHEMATIC OF TEST SAMPLE SHOWING CARBURIZED SURFACE

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    Analysis and Testing ProgramProgram Phase IFeasibility Assessment

    To demonstrate the potential for improving the bending fatigue

    strength of Pyrowear 53 steel for helicopter transmission gears

    by heat treatment, 25 kg (55 lbs.) of 60.3 mm (2 3/8) diameter

    Pyrowear 53 bar stock was donated from DCTs inventory. A general

    processing and testing program for the material was then estab-

    lished, as summarized in Table 2.

    Sample Processing and Preparation

    Rectangular test bar blanks were machined from the bar stock

    with the length of the test bar being coincident with the bar stock

    rolling direction. In discussion with gear engineering experts at the

    Army Gear Research Laboratory at NASA-Glenn and Bell Helicopter, amodified V notch geometry for the three-point bending fatigue sam-

    ple was defined; the notch geometry was consistent with notched

    flexure fatigue specimens used by Bell Helicopter. The modified V

    notch has a 60 included angle with a 1.16 mm radius (0.0455) to

    simulate a typical gear tooth root geometry. The test specimen con-

    figuration is shown in Figure 1.

    To most accurately capture the combined carburizing and geometry

    effects of a Pyrowear gear, the notched test bars were carburized

    only on the top surface (including the notch), as shown schemati-

    cally in Figure 2. To accomplish the localized carburization, the sides

    and bottom surfaces of the bending fatigue samples were masked

    with copper plating. This is standard practice for blocking carburiza-

    tion of selected surfaces on aerospace parts.

    Process Simulation

    Prior to physical heat treating, a series of heat treat models were

    run to characterize the respective processes to be applied to the

    test pieces. The use of a simulation tool provided a rapid, non-

    destructive, and cost-effective means of assessing both the internal

    metallurgical behavior during and after processing as well as the

    mechanical response, in terms of residual stress, hardness, and

    dimensional change. For this task, the heat treatment simulation

    software DANTE was used to characterize the carburization and two

    quench hardening processes selected for the program.

    The Pyrowear 53 material was carburized to a carbon level of 0.80

    Process

    Route

    Heat

    TreatSurface

    BendingFatigueSamples

    Metallurgical

    Testing

    1

    2

    OilQuench

    18

    18IntensiveQuench

    Microstructure,Microhardness,

    X-ray

    Microstructure,Microhardness,

    X-ray

    Milled &Superfinish

    Polished

    Milled &Superfinish

    Polished

    FIGURE 3:

    3

    2

    1

    FINITE ELEMENT MESH OF TEST SAMPLE

    TABLE 2: TEST MATRIX FOR PHASE I FEASIBILITY ASSESSMENT

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    The intensive quench is applied axially to the gear using spe-

    cially controlled, high-velocity water flow. A fixture with the aus-

    tenized gear is sealed against a vertical coaxial pipe (shown in

    Figure 20), which contains specially designed baffles to direct the

    quench across the various gear surfaces and through the teeth.

    Precise timing of quench application and shut-off is essential.

    discussed in Table 5, for the planned single tooth bend testing

    a total of 12 test gears were oil quenched, and 12 gears were

    intensively quenched using the fixturing system described in

    Figure 20.

    CROSS SECTION CONTOUR MAP OF RESIDUAL STRESS IN OIL

    QUENCHED GEAR FOR UNLOADED AND LOADED CONDITIONS

    CROSS SECTION CONTOUR MAP OF RESIDUAL STRESS IN INTENSIVE

    QUENCHED GEAR FOR UNLOADED AND LOADED CONDITIONS

    FIGURE 24: FIGURE 25:

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    COMPOSITE STRESSES IN SINGLE TOOTH BENDING (OIL QUENCH) COMPOSITE STRESSES IN SINGLE TOOTH BENDING (INTENSIVE QUENCH)

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    After processing, one of each gear type (oil and IQ) was

    tested in X-ray dif fraction to assess both residual stress mag-

    nitudes and variability relative to the simulation predictions.

    Residual stress profiles were taken at two locations for each

    gear, with the profile made at the center root location (Position

    C in Figure 16). The X-ray testing orientations taken on the

    gears are shown schematically in Figure 21.

    The measured X-ray residual stress profiles from each gear

    are compared with their corresponding simulation predictions in

    Figure 22. The predicted residual stress profiles for both oil and

    intensively quenched gears displayed excellent agreement with

    the stresses calculated from X-ray measurements. Also, the

    intensively quenched gear exhibited ~40% increase in residual

    compression over the baseline oil quench to a depth of 0.050.

    Based on the modeling and X-ray test resultsas well as the

    results of residual stress/three-point bending fatigue evaluation

    conducted in the early par t of this investigationresults of the

    single tooth bending fatigue testing currently underway are

    predicted to show strong promise for intensive quenching

    providing substantial enhancement in bending fatigue perfor-

    mance over the baseline oil quenching process.

    An additional engineering utility of the DANTE heat treatment

    simulations is the ability to analyze composite stresses in thegear. Stresses generated in gear loading are of course affected

    by the residual stresses generated in the heat treatment.

    Quantitive assessment of the composite stress is not straight-

    forward, and has typically been done under the assumption that

    the stress states are additive.

    Simulation results illustrating this interaction for both the

    oil intensively quenched gears are shown in Figures 23-25.

    The nonlinear response of residual stress at the tooth base

    is clearly evident in the comparitive stress plots presented

    in Figure 23. The graph compares the pre-loaded tooth base

    residual stress profile with that under a 900 lb. tooth load. The

    simulation provides important data concerning the non-lineral

    response, as well as information concerning depth relation-

    ships. From a design standpoint, this type of analysis provides

    an impor tant tool in engineering residual stresses to meet

    complex loading requirements.

    Additional insight into behavior of the composite stresses can

    be gained through examination of cross-sectional contour maps

    such as those shown in Figures 24 and 25. For example, in

    the oil quenched gear (Figure 24) one can see localized tensile

    regions below the tooth. This region increases in both volume

    and magnitude when the tooth is subjected to loading. In con-

    trast, the intensively quenchedz gear (Figure 25) shows a much

    smaller sub-tooth tensile region, which does not increase

    significantly during loading. Such characterization is valuable

    in understanding potential fracture path and failure mode.

    Therefore extending heat treatment simulation to include sub-

    sequent loading represents an impor tant engineering design

    milestone.

    ConclusionsThis study proved the feasibility of improving bending fatigue

    strength by altering the hardening process. The intensive quench-

    ing process produced a deeper compressive stress state after

    CONTINUED ON PAGE 50

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    the worst performance with near 50 percent residual stress drop-off at

    both outer edges. Also, the stacked configuration displayed a wide regio

    in the bar interior with tensile stress on the order of 330 MPa, extendin

    through the bar thickness. The magnitude and spread of these tensile

    stresses are not as pronounced in configurations A and B. Thus from a

    residual stress standpoint, expectations were for configuration A to sho

    superior bending fatigue performance as compared with the oil quenche

    samples (see oil stresses in Figure 5). Configuration B would be expect

    ed to show inferior, or at best similar performance to the oil quench.

    Configuration C samples were not physically evaluated.

    Physical Testing of Simulated Quench Configurations

    In continuing the notch bar fatigue characterization, 84 additional

    notch bar samples were prepared using a carefully planned design-of-

    experiments approach to physically quantify the findings revealed in th

    DANTE simulations. Table 4 details this second notch bar testing plan

    To facilitate the normal and parallel directional flow, a new fixture w

    developed for the notch bars for use in the quench processing equip-

    ment. The fixture was a stainless steel cylinder in which the notch bar

    was positioned diametrically. During austenitization, the entire fixture

    assembly (with sample) was heated. Transfer of the fixture into the

    quenching unit was rapid and highly consistent, with the entire assem

    bly easily placed within the IQ water flow tube. Comparative X-ray andsimulation residual stress calculations are presented in Figure 11.

    As in the review of the surface stress simulation predictions, exami

    nation of the residual stress profiles would also indicate superior

    bending fatigue performance of the IQ-face samples (config. A) over

    the oil quenched and parallel quenched specimens (config. B). Bendin

    fatigue test data for this evaluation is shown in Figure 12. The new da

    showed a marked reduction in scatter, as both overall notch surface

    quality was improved and process stability was enhanced. Most impor

    tantly, the bending fatigue test data parallels exactly the expected per

    Notch Bar Bending Fatigue PerformanceGround Notch with Tighter Process Control

    1250

    1500

    1750

    2000

    2250

    2500

    10,000 100,000 1,000,000 10,000,000

    Oil

    IQ-Face

    IQ-Parallel

    (2)

    (6)

    MaxLoad(lbs)

    Cycles to Failure

    Gear Specifications

    No. Teeth 40

    Dia. Pitch 10

    PressureAngle 20

    Pitch Dia. 4.0

    Base Cir.Dia. 3.76

    Outside Dia. 4.18

    Root Dia. 3.75

    Tooth Thick 0.11

    RESIDUAL STRESS PROFILE COMPARISON AFTER HEAT TREAT

    THROUGH TOOTH/ROOT CROSS SECTION

    B

    A

    B

    C

    A

    B

    C

    REFERENCE DIRECTIONS POINTS IN TOOTH/ROOT CROSS SECTION

    TABLE 4: TEST MATRIX FOR PHASE IA

    3-POINT BENDING FATIGUE DATA FOR PHASE IA NOTCH BAR EVALUATION

    Oil Quench

    Intensive Quench

    FIGURE 12:

    FIGURE 13:

    TEST GEAR FOR SINGLE TOOTH BENDING FATIGUE EVALUATION

    FIGURE 16:

    SCHEMATIC OF SINGLE TOOTH BENDING FATIGUE TEST SET-UP

    FIGURE 14:

    FIGURE 15:

    Process Configuration No. Samples

    Oil Immersion Quench 20IQ Quench Normal to

    Notch Face (A)

    20

    IQ Quench Parallel to

    Notch Face (B)

    20

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    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

    formance as predicted in the simulations.

    The IQ-faced quenched samples showed

    a clear maximum cyclic load limit of 1,825

    lbs., whereas the samples quenched in the

    standard oil quench practice showed a clear

    limit at 1,650 lbs. Also consistent with the

    simulation stress predictions and X-ray calcu-

    lations were the IQ-parallel quench samples,

    which performed slightly worse than the oil

    quenched material.

    PROGRAM PHASE IIIMPLEMENTATION

    INTO FULL GEAR COMPONENT

    With the strong feasibility demonstrated

    in Phase I and Phase IA for achieving the

    bending fatigue life increase goal, the next

    phase was initiated to extend the evalu-

    ation to full gear components. Through

    consultation with both the U.S. Army AATD

    and military helicopter OEMs, a simple

    spur gear design was selected as the test

    component for the second phase of this

    project. Configuration and summary gear

    specifications are shown in Figure 13.

    Prior to quench hardening, the gears

    were vacuum carburized selectively on the

    teeth surfaces, with copper plating mask-

    ing the balance of the gear as shown in

    the related figure.

    Process and Testing Plan

    The effect of intensive quenching on th

    bending fatigue strength of the Pyrowear

    53 gear is currently being evaluated by

    single tooth bend testing. The configurati

    of the test apparatus is shown schemati-

    cally in Figure 14. In the test, a cyclic loa

    is applied to two teeth via a movable upp

    anvil and a stationary lower anvil, with th

    gear remaining fixed by a shaft support.

    For this tooth bending test, the evaluation

    plan shown in Table 5 was developed to

    quantitatively assess single tooth bending

    fatigue improvement.

    Radial Stress Profile-Gear Tooth from Simulation

    -50

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    0 0.01 0.02 0.03 0.04 0.05

    Intensive Quench

    Oil Quench

    S

    tress,

    ksi

    Depth, in

    Hoop Stress Profile-Tooth Root from Simulation

    -120

    -100

    -80

    -60

    -40

    -20

    0

    20

    40

    0 0.02 0.04 0.06 0.08 0.1

    St

    ress,

    ksi

    Depth, in

    Intensive Quench

    Oil Quench

    Hoop Stress Profile-Center Root from Simulation

    0 0.02 0.04 0.06 0.08 0.1 0.12

    Intensive Quench

    Oil QuenchStress,

    ksi

    Depth, in

    -120

    -100

    -80

    -60

    -40

    -20

    0

    20

    40

    RESIDUAL STRESS PROFILE COMPARISON

    (RADIAL STRESS) AT POSITION (A) IN TEST

    GEAR; FROM SIMULATION

    RESIDUAL STRESS PROFILE COMPARISON

    (HOOP STRESS) AT POSITION (B) IN TEST

    GEAR; FROM SIMULATION

    FIGURE 17: FIGURE 18: FIGURE 19:

    RESIDUAL STRESS PROFILE COMPARISON

    (HOOP STRESS) AT POSITION (C) IN TEST

    GEAR; FROM SIMULATION

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    30 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com

    seemingly insignificant, produced a distinct

    variation in the surface residual stress pro-

    file across the notch surface.

    Simulations showed that the surface

    residual stress below the notch could vary

    from 600 MPa (87 ksi) at the outer edge

    to 45 MPa (6.52 ksi) at the center. This

    critical finding illustrates both the utility

    and importance of a simulation design tool

    in understanding and optimizing a manu-

    facturing process such as heat treatment.

    With this information, modifications to the

    IQ valve system were made accordingly.

    Future plans also include computer control

    with data recording of operation and water

    application.

    Coupling improved flow control with

    enhanced notch surface quality achieved

    by grinding, the next variable examined

    was the orientation of the par t relative

    to the quench flow. Here again, process

    simulation with the DANTE design soft-

    ware demonstrated critical value. With thegoal being optimal application of intensive

    quenching, three new configurations were

    examined (each configuration is illustrated

    schematically in Figure 8).

    DANTE simulations were conducted for

    each of these configurations to determine

    sensitivity of stress magnitude and distri-

    bution as a function of intensive quench

    flow orientation. As in the flow timing

    diagnostic work previously discussed,

    profiles of the resulting residual stresses

    across the surface notch were compared

    for each case. The plot in Figure 9 dis-

    plays the results, while Figure 10 shows

    contour maps of the final residual stress

    through the notch cross section for each

    case. What appears immediately evident

    from the simulations is that, as seen with

    flow timing application, the orientation of

    the part relative to flow also has a signifi-

    cant effect on residual stressspecifi-

    cally the stress distribution.

    Configuration A (normal flow) displayed

    the most consistent and uniform residual

    stress, with minimal variation in stress

    magnitude across the length of the notch.

    With flow parallel to the notch in process-

    ing a single sample (configuration B),

    stress magnitude remains relativelyuniform from the leading edge through

    the center, but drops off rapidly at the

    trailing edge by nearly 50 percent (225

    MPa vs. max. compression of ~450 MPa).

    The stacked configuration (C), with both

    outer edges essentially insulated, showed

    (A)

    (B)

    (C)

    SAMPLE QUENCH CONFIGURATIONS

    EXAMINED IN PHASE IA

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    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

    COMPARISON OF PREDICTED SURFACE RESIDUAL STRESS ACROSS

    THE ROOT OF THE SAMPLE NOTCH.

    -700

    -600

    -500

    -400

    -300

    -200

    -100

    0

    100

    200

    0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

    Oil X-Ray Calc

    IQ-side X-Ray Calc

    IQ-Face X-Ray Calc

    Oil DANTE

    IQ-Side DANTE

    IQ-Face DANTE

    Res

    idualStress,

    MPa

    Depth, mm

    PREDICTED CROSS SECTION RESIDUAL STRESS CONTOURS FOR 3 QUENCH CONFIGURATIONS

    COMPARATIVE X-RAY AND SIMULATION PREDICTED RESIDUAL

    STRESS PROFILES IN NOTCH BARS

    FIGURE 9: FIGURE 11:

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    28 GEAR SOLUTIONS JULY 2006 gearsolutionsonline.com

    percent and an effective case depth of 0.5 mm. The DANTE simula-

    tion employed a carburization cycle with applied carbon potential as

    prescribed directly from the gear OEMs. The 3-D mesh for the simu-

    lation is shown in Figure 3.

    Simulations were also performed to assess the probable effectson residual stress and hardness between oil and intensive quench-

    ing processes. Table 3 summarizes the process steps for each of

    the evaluated quenching operations after carburization. Simulation

    of the quenching was performed through application of heat transfer

    coefficients for the oil or intensive quenching, and the subsequent

    cryogenic treatment. The DANTE tempering model was employed for

    the temper operation. The simulations indicated a marked enhance-

    ment in both surface and subsurface residual compression for

    intensive quenching. Therefore, physical processing and testing was

    initiated on the Pyrowear bend test coupons. Predictions of hard-

    ness and residual stress are compared against measured values in

    the next section.

    Physical Characterization

    Upon completion of the heat treatments on the Pyrowear notch

    bar specimens, microhardness profiles were measured at the sam-

    ple notch, beginning at a depth of 0.005 (0.13 mm). A plot com-

    paring the resulting hardness profiles for the two heat treatments

    is presented in Figure 4; also included are the hardness profiles

    predicted by the heat treat simulations. Here one sees the most

    pronounced improvement in hardness at the surface and subsur-

    face to a depth of about 0.02 (0.5mm).

    Both a conventional oil quenched and an intensively quenched

    notched bar sample were sent to Lambda Research for surface

    and internal residual stress characterization. A combination X-ray

    diffraction/chemical etching technique was used to measure lattic

    strains and then calculate the longitudinal residual stress as a fun

    tion of depth from the notch root. Measurements were taken at 0

    mm (0.008) increments, to a depth of 1.2 mm (0.047). The sim

    lation and the measured test results display excellent agreement,as shown in the plot presented in Figure 5. The project methodolo

    proved the value of process simulation as a predictive design tool

    To assess the bending fatigue resistance of the carburized and

    heat treated Pyrowear 53 notch bar samples, three-point bend-

    ing fatigue tests were conducted using a servo-hydraulic testing

    machine at Case Western Reserve University. The machine was

    operated using load control, with the minimum to maximum load

    ratio being 0.1 so that the notch was under constant cyclic ten-

    sion. This condition assured that no slippage or sample move-

    ment occurred during testing, at least up to the point of large ram

    displacement due to cracking. To stop the test quickly after crack

    development, strain gages were applied to the samples at the

    notch root.

    Eighteen oil quenched and 17 intensively quenched fatigue

    samples were tested in bending fatigue to compare the effect of

    the two heat treat processes on the resulting fatigue resistance.

    Figure 6 shows the fatigue test data for the two quenched condi-

    tions. A test was stopped after the number of cycles exceeded 10

    and declared a runout. Rupture of the strain gage occurred when

    crack began to extend, and the test machine would automatically

    stop and the sample was declared a failure. Failed samples were

    bent, not broken. While there is scatter evident in the data, Figure

    shows that the resistance to bending fatigue is higher for the inte

    sively quenched test bars than for the conventionally quenched oil

    test bars.

    Statistical analysis of the data was performed to verify that

    the apparent improvement in bending fatigue resistance due to

    intensive quenching was real [13]. Following a relationship used to

    compare the bending fatigue strength of carburized gear teeth, raw

    data were transformed to allow comparison of projected lives at a

    normalized load. In this case, the normalized load was selected a

    1,500 pounds, and a Weibull distribution was fit to the transforme

    data. A comparison of these data at both the 10- and 50-percent

    lives showed a statistical difference between the intensively and

    quenched and oil quenched test bars (see Table 3) [13]. The anal

    sis demonstrates the benefit of deeper residual compressive stres

    COMPARISON OF PREDICTED AND MEASURED

    HARDNESS AT THE TEST SAMPLE ROOT

    PREDICTED VS. MEASURED RESIDUAL STRESS PROFILES AT

    THE V-NOTCH AS A FUNCTION OF DEPTH.

    FIGURE 4: FIGURE 5:

    Intensive Quench

    Test Bar

    Oil Quench

    Test BarWeibull Shape Parameter 0.458 0.665

    10% Life(103Cycles)

    50% Life(106Cycles)

    25 21

    1.5 0.36

    Ratio of 10% Lives (IQ/OQ) 1.2

    Statistical Significance 98%

    TABLE 3: STATISTICAL ANALYSIS OF TRANSFORMED FATIGUE DATA

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    gearsolutionsonline.com JULY 2006 GEAR SOLUTIONS

    produced by intensive quenching on bending fatigue resistance. At

    the 50-percent life level, the ratio of improvement was 4.2, with

    a 98-percent confidence level. However, at the lower 10-percent

    life level, the ratio dropped to 1.2, with just a 60-percent statisti-

    cal confidence. The relatively low Weibull shape parameter for bothquenched conditions is indicative of scatter in the test data. The dif-

    ference in the significance of the life data comparison is also indica-

    tive of the test data scatter. One probable source of scatter was the

    surface finish of the notch and the fact that grinding was not per-

    formed after the milling operation to shape the notch.

    PHASE IAPROCESS SENSITIVITY AND REFINEMENT

    Simulation in Process Sensitivity Assessment

    The data scatter seen in the

    initial notch bar testing neces-

    sitated additional investigation

    into IQ process variables and

    sensitivity. The DANTE predic-

    tive heat treatment software

    tool provided significant insight

    into the process sensitivity,

    particularly with respect to the

    effect of variation in water flow

    and application time.

    The initial quench configura-

    tion used for the notch bar

    samples was a fixture system

    in which the water flow was

    directed parallel to the longitu-

    dinal direction of the sample,

    as shown schematically in

    Figure 7.

    Using the DANTE software, DCT executed a series of heat treat-

    ment simulations to characterize the sensitivity of resulting residual

    compressive stress in the sample with respect to water flow applica-

    tion and timing. It was found that full flow must be achieved within

    1.0 seconds from initial quench application to develop the tem-

    perature gradient required to achieve the deep compressive residual

    stresses. This information is crucial because it demonstrates quan-

    titative sensitivity data for quenching this type of root geometry. The

    shift in thermal gradient caused by an initial reduced flow, although

    3-POINT BENDING FATIGUE DATA FOR CARBURIZED AND

    HARDENED PYROWEAR 53 NOTCHED TEST BARS.

    PHASE I QUENCH CONFIGURATION

    FIGURE 7:

    IGURE 6:

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    heat treatment than conventional oil quenching, and this resulte

    in improved bending fatigue strength.

    In addition to actual test data this study showed the benefit o

    using accurate numerical simulation of the carburization and ha

    ening processes to assess the nature of the differences betwee

    the processes, and to predetermine the quenching conditions

    required to achieve the goal of deeper residual compression, th

    improved resistance to fatigue. Finally, the utility and importanc

    of considering composite (heat treatment residual and loading)

    stresses in assessing gear loading was also shown. Further wor

    in this area by DCT includes expansion of the simulation capabi

    ties to include both mechanical shot and laser shock peening

    effects in further enhancing composite residual stresses in a

    carburized gear. Preliminary work in this area is also underway

    within a related U.S. Army sponsored project.

    ABOUT THE AUTHORS:

    REFERENCES1) N.I. Kobasko and V.S. Morganyuk, Numerical Study of Phase Changes,

    Current and Residual Stresses in Quenching Parts of Complex Configuration,

    Proceedings of the 4th International Congress on Heat Treatment of Materials,

    Berlin, Germany, 1 (1985), 465-486.

    2) N.I. Kobasko, Intensive Steel Quenching Methods. Theory and Technology of

    Quenching, Springer-Verlag, New York, N.Y., 1992, 367-389.

    3) N.I. Kobasko, Method of Overcoming Self-Deformation and Cracking During

    Quenching of Metal Parts, Metallovedenie and Termicheskay Obrabotka Metallo

    (in Russian), 4 (1975), 12-16.

    4) M. Hernandez et al., Residual Stress Measurements in Forced Convective

    Quenched Steel Bars by Means of Neutron Diffraction, Proceedings of the

    2nd International Conference on Quenching and the Control of Distortion, ASM,

    (1996), 203-214.

    5) M.A. Aronov, N.I. Kobasko, J.A. Powell, J.F. Wallace, and D. Schwam, Practical

    Application of the Intensive Quenching Technology for Steel Parts, Industrial

    Heating Magazine, April 1999, 59-63.

    6) A.M. Freborg, B.L. Ferguson, M.A. Aronov, N.I. Kobasko, and J.A. Powell,

    Intensive Quenching Theory and Application for Imparting High Residual Surfac

    Compressive Stresses in Pressure Vessel Components, Journal of Pressure

    Vessel Technology, 125 (2003), 188-194.

    7) B.L. Ferguson, A.M. Freborg, and G.J. Petrus, Comparison of Quenching

    Processes for Hardening a Coil Spring, Advances in Surface Engineering,

    Metallurgy, Finishing and Wear, SAE (01) 1373, (2002).

    8) D. Bammann et. al., A Material Model for Carburizing Steels undergoing Phase

    Transformations, Proceedings of the 2nd International Congress on Quenching

    and Control of Distortion, (Cleveland, OH: ASMI, 1996), 367-375.

    9) B.L. Ferguson, A.M. Freborg, G.J. Petrus, and M.L. Callabresi, Predicting the

    Heat Treat Response of a Carburized Helical Gear, Gear Technology (2002),

    20-25.

    10) B.L. Ferguson and A.M. Freborg, A Design Tool for Tuning and Optimizing

    Carburizing and Heat Treat Processes, Technical Paper 2002-01-1475, SAE

    (2002).

    11) B.L. Ferguson and A.M. Freborg, Software to Predict Distortion of Heat Treate

    Components, U.S. Army SBIR - Phase II Final Report, USAAMCOM TR 02-D-46

    (2002).

    12) Product Technical Data, Carpenter Technology Corporation, 2001.

    13) T. Krantz, Army Research Laboratory, Private Communication, June 2004.

    CONTINUED FROM PAGE 37

    A.M. Freborg, B.L. Ferguson, and Z. Li are with Deformation

    Control Technology, Inc., which is based in Cleveland, Ohio. Go

    online to [www.deformationcontrol.com]. D.X. Schwam is with

    Case Western Reserve University, and B.J. Smith is with the U.S

    Army AATD, which is located in Fort Eustis, Virginia.

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