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TECHNICAL PAPERS

Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems

[+] Author and Article Information
Marcello Campanelli, Marcello Berzeri, Ahmed A. Shabana

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor St., Chicago, IL 60607-7022

J. Mech. Des 122(4), 498-507 (Sep 01, 1999) (10 pages) doi:10.1115/1.1289636 History: Received September 01, 1999
Copyright © 2000 by ASME
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References

Argyris,  J. H., Balmer,  H., Doltsinis,  J. St, Dunne,  P. C., Haase,  M., Kleiber,  M., Malejannakis,  G. A., Mlejnek,  H.-P., Müller,  M., and Scharpf,  D. W., 1979, “Finite Element Method—The Natural Approach,” Comput. Methods Appl. Mech. Eng., 17, pp. 1–106.
Bathe, K. J., 1996, Finite Element Procedures, Prentice-Hall, Englewood Cliffs, New Jersey.
Belytschko,  T., and Hsieh,  B. J., 1973, “Non-Linear Transient Finite Element Analysis with Convected Coordinates,” Int. J. Numer. Methods Eng., 7, pp. 255–271.
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Reddy,  J. N., and Singh,  I. R., 1981, “Large Deflections and Large-Amplitude Free Vibrations of Straight and Curved Beams,” Int. J. Numer. Methods Eng., 17, pp. 829–852.
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Kane,  T. R., Ryan,  R. R., and Banerjee,  A. K., 1987, “Dynamics of a Cantilever Beam Attached to a Moving Base,” AIAA J. Guid. Control., Dynam.,10, No. 2, pp. 139–151.
Kortum,  W., Sachau,  D., and Schwertassek,  R., 1996, “Analysis and Design of Flexible and Controlled Multibody Systems with SIMPACK,” Space Technol. Ind. Commer. Appl.,16, pp. 355–364.
Likins,  P. W., 1967, “Modal Method for Analysis of Free Rotations of Spacecraft,” AIAA J., 5, No. 7, pp. 1304–1308.
Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd ed., Cambridge University Press, Cambridge.
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ANSYS User’s Manual, Volume IV, Theory, ANSYS Release 5.4, 1997.
Campanelli, M., 1998, “Computational Methods for the Dynamics and Stress Analysis of Multibody Track Chains,” Ph.D. thesis, University of Illinois at Chicago, Chicago.
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Figures

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Absoute nodal coordinate formulation
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Cantilever beam bent into a full circle by an end moment. ANSYS solution
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Cantilever beam bent into a full circle by an end moment. Absolute nodal coordinate formulation solution
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Deformed shapes of the cantilever beam subject to overcritical loads. Solutions obtained using ANSYS
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Deformed shapes of the cantilever beam subject to overcritical loads. Solutions obtained using the absolute coordinate formulation
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Configurations of the free falling pendulum at different times for the case (a=9.81 m/s2 values of time given in sec)
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Transverse deflection of the midpoint of the pendulum for different model. (a=9.81 m/s2 )
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Configurations of the free falling pendulum at different times for the case (a=50 m/s values of time given in sec)
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Transverse deflection of the midpoint of the pendulum for different models (a=50 m/s2 )
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Transverse deflection of the midpoint of the pendulum for different models (a=9.81 m/s2 )
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Transverse deflection of the midpoint of the pendulum for different models (a=50 m/s2 )
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The four bar mechanism in the original configuration
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Angular velocities of the connecting rod and the follower in the case of rigid body motion
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Moment applied to the crankshaft
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Global vertical position of point A on the crankshaft
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Global vertical position of point A on the crankshaft
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Transverse deflection of the midpoint of the connecting rod
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Energy balance for the four-bar mechanism

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