Finite Element Analysis of Inertia Dynamometer

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    Finite Element Analysis of Inertia Dynamometer

    R. A. Gujar1, S. V. Bhaskar

    2& N. U. Yewale

    3

    1,2&3Department of Mechanical Engineering,

    1&3Pimpri Chinchwad College of Engineering,

    2Sanjivani Rural Education Society College of Engineering

    E-mail : [email protected], [email protected]

    2, [email protected]

    3

    Abstract The Dynamometer is a LOAD device. It applies

    a load to an engine so we can test the performance of the

    engine under a variety of circumstances. System operateswhere load (dyno) torque equals that of the Engine. By

    varying the engine throttle and load we can test any point

    under the engines max torque curve. We design and

    modify engines for improved fuel economy and emissions

    We need DATA to quantify the improvements in Fuel

    savings and Emissions reductions. This data will be used to

    help us tune in our design.

    The Dynamometer is operated at 1000 rpm to generate the

    necessary inertia. For different kind of conditions, there is

    need of having variable inertia. So the dynamometer is

    constructed with removable flywheel.

    I. INTRODUCTION

    The Dynamometer is a LOAD device. It applies a

    load to an engine so we can test the performance of the

    engine under a variety of circumstances. System

    operates where load (dyno) torque equals that of the

    Engine. By varying the engine throttle and load we can

    test any point under the engines max torque curve. We

    design and modify engines for improved fuel economy

    and emissions. We need DATA to quantify theimprovements in Fuel savings and Emissions reductions.

    This data will be used to help us tune in our design.

    The Dynamometer is operated at 1000 rpm to

    generate the necessary inertia. For different kind of

    conditions, there is need of having variable inertia. So

    the dynamometer is constructed with removableflywheel

    II. STATICANALYSIS

    A. ANALYSIS OF SHAFT

    Material Properties for shaft : Steel : FE 410 WA :

    IS 2062

    Table I : Material Properties for Shaft

    Physical Properties ValuesUltimate Strength 410 Mpa (N/mm

    2)

    Yield Strength 230 Mpa (N/mm2)

    Youngs Modulus (E) 2.1x105 N/mm2

    Poissons Ratio () 0.3

    Density 7850 kg/ m3

    Table II : Chemical Properties for Shaft

    GradeDesig

    nation

    Qua

    lityLadle Analysis, % Max (CE)

    Max

    Method

    of

    Deoxida-tion

    C Mn S P Si

    FE

    410 WA 0.23 1.5 0.045 0.045 .40 0.42

    SemiKille

    d/ Killed

    Table III : Mechanical Properties of Shaft

    GradeDesignation

    QualitySyt

    MPa

    tMPa

    % Elongation,

    A at GaugeLength, LO

    5.65S ,Min

    Internal

    diam.

    Min.

    FE 410 W A 410 230-250 23 3t

    B. ANALYSIS OF SHAFT BY USING FEA

    Fig.1 : CAD Geometry of Shaft

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    Fig. 2 : Deformation in Shaft

    Fig. 3 : Von-Mises Stresses in Shaft

    Fig.4 : Max.Shear Stress in Shaft

    C. STATIC ANALYSIS OF BUSH

    FIG.5:CADGEOMETRY OF BUSH

    Fig.6 : Deformation in Bush

    Fig.7 : Von-Mises Stresses in Bush

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    D. STRUCTURAL ANALYSIS OF PEDESTAL

    BEARING

    Fig. 8 : CAD Geometry of Pedestal Bearing

    Fig. 9 : Deformation in Pedestal Bearing

    Fig. 10 : Von-Mises Stresses in Pedestal Bearing

    E. STRUCTURAL ANALYSIS OF BASE FRAME

    Fig.11 : CAD Geometry of Base Frame

    Fig. 12 : Deformation in Base Frame

    Fig.13 : Von-Mises Stresses in Base Frame

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    III. MODAL ANALYSISOFDYNAMOMETER

    Operating Frequency of Dynamometer

    Rotating Speed (N) = 1000 rpm.

    Angular Velocity () = 2N/60

    = 2 x x 1000/60

    = 104.71 rad/s

    Operating Frequency = / 2

    = 104.71 / 2

    = 16.66 Hz

    Natural Frequency of Dynamometer

    The product is been solved in ANSYS to find theNatural Frequency upto first three natural modes.

    CASE IShaft & Fixed Flywheel

    A. Model ShapeI

    Natural Frequency: 47.539 Hz

    Max. Amplitude: 1.1 mm

    Fig.13 : Model ShapeI

    B. Model ShapeII

    Natural Frequency: 112.25 Hz

    Max. Amplitude: 1.09 mm

    Fig.14 : Model ShapeII

    C. Model ShapeIII

    Natural Frequency: 117.14 Hz

    Max. Amplitude: 1.09 mm

    Fig.14 : Model ShapeIII

    CASE IIShaft, Fixed Flywheel & RemovableFlywheel.

    A. Model ShapeI

    Natural Frequency: 36.007 Hz

    Max. Amplitude: 0.51 mm

    Fig.15 : Model ShapeI

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    B. Model ShapeII

    Natural Frequency: 48.711 Hz

    Max. Amplitude: 1.077 mm

    Fig. 16 : Model ShapeII

    C. Model ShapeIII

    Natural Frequency: 69.494 HzMax. Amplitude: 0.5788 mm

    Fig. 17 : Model ShapeIII

    D. DYNAMIC ANALYSIS OF DYNAMOMETER

    (High Speed Effect)

    Assumption

    1. The Fixed, Removable Flywheel & Shaft is

    perfectly balanced.

    2. This Analysis will consider the centrifugal forces

    developed due to high speed.

    CASE IShaft & Fixed Flywheel

    Fig.18 : Stress developed due to centrifugal stress

    Fig.19 : Deformation in flywheel due to centrifugal stress

    CASE IIShaft, Fixed Flywheel & Removable

    Flywheel.

    Fig. 20 : Deformation in flywheel & Removable

    Flywheel due to centrifugal stress

    Fig.21 : Deformation in flywheel & Removable

    Flywheel due to centrifugal stress

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    .

    IV. RESULTS

    XXXX

    V. CONCLUSION

    The result of Static Analysis for shaft, PedestalBearing & Base frame confirms the safety &

    overall rigidity of dynamometer assembly.

    The Modal Analysis confirms the safety of product

    to operate at 1000 rpm speed, as the operating

    frequency doesnt meet to natural frequency.

    The dynamic analysis confirms the strength

    validation of the product. The average induced

    stress is lower than the yield strength of material,the product is safe.

    VI. ACKNOWLEDGMENT

    I wish to express my sincere thanks to

    Prof.S.V.Bhaskar for their technical support and helpful

    attitude gave us high moral support .

    I am also thankful to Prof. A.G.Thakur (P.G.Co-

    ordinator & HOD of Mechanical Department) who had

    been a source of inspiration.

    Finally, I specially wish to thank my father &

    Mother, wife kirti and sweet daughter Sanskriti and all

    those who gave me valuable inputs directly or

    indirectly.

    VII. REFERENCES

    [1]

    Min-Soo Kim, Vibration Analysis of TreadBrake Block in the Brake Dynamometer for the

    High Speed Train International Journal ofSystems Applications, Engineering &

    Development, 2011, Volume 5, Issue 1.

    [2] J. Naga Malleswara Rao, A. Chenna Kesava

    Reddy & P.V. Rama Rao, Design andfabrication of new type of dynamometer to

    measure radial component of cutting force andexperimental investigation of optimum

    burnishing force in roller burnishing processIndian Journal of Science and Technology,

    2010, Vol. 3 No.7, ISSN: 0974- 6846.[3] Min-Soo Kim, Jeong-Guk Kim, Byeong-Choon

    Goo, & Nam-Po Kim, Frequency Analysis ofthe Vibration of Tread Brake Dynamometer for

    the High Speed Train Vehicle Dynamics &Propulsion System Research Department, KoreaRailroad Research Institute, ISSN: 1792-4618,

    ISBN: 978-960-474-217-2.

    [4] Ryan Douglas Lake, Integration of a smallEngine Dynamometer into an eddy Current

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    Controlled Chassis Dynamometer B.S;University of Cincinnati, 2004.

    [5] Brian J. Schwarz & Mark H. Richardson,

    Experimental Modal Analysis, Vibrant

    Technology, Inc.1999.[6] J Michael Robichaud, P.Eng, Reference

    Standards for Vibration Monitoring and Analysis.

    [7] S.Vijayaraja, S.Vijayaragavan, Finite ElementAnalysis of Critical Components of the 2.6L

    Gasoline EngineAVTEC Ltd.

    [8] V.B.Bhandari, Design of Machine Element; Tata

    McGraw-Hill Publication Co.Ltd. NewDelhi,2004.