Matching of Physical Experiments and Multibody Dynamic Simulation for Large Deformation Problems

  • Published : 2004.05.01

Abstract

Many papers have studied computer simulations of elastic bodies undergoing large deflections and large deformations. But there have not been many attempts to check the validity of the numerical formulations because the simulation results could not be matched without correct input data such as material properties and damping effects. In this paper, these values are obtained from real experiment with a high-speed camera and a data acquisition system. The simulation results with the absolute nodal coordinate formulation (ANCF) are compared with the results of real experiments. Two examples, a thin cantilevers beam and a thin plate, are studied to verify whether the simulation results are well matched to experimental results.

Keywords

References

  1. Bathe, K. J., 1996, Finite Element Procedures, in Engineering Analysis Prentice Hall, New Jeresey
  2. Craig, R. R., 1981, Structural Dynamics
  3. Dmitrochenko, O. N., 2002, Efficient Simulation of Rigid-Flexible Multibody Dynamics : Some Implementations and Resuits,' in Proceedings of NATO ASI on Virtual Nonlinear Multibody Systems 1, W. Schielen and M. Valasek (Eds.), Prague, pp. 51-56
  4. Dmitrochenko, O.N., 2001, 'Methods of Simulating Dynamics of Hybrid Multibody Systems with Taking into Account Geometrical nonlinearity,' in Dynamics, strength and reliability of transport machines, B.G. Keglin (Ed.), Bryansk State Technical University, Bryansk, pp. 24-34 (in Russian)
  5. Lee, J., 2003, 'In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudo-spectral Method,' KSME International Journal, Vol. 17, No. 8, pp. 1156-1163 https://doi.org/10.1007/BF03016510
  6. Meirovitch, L., 1982, Analytical Methods in Vibrations, Macmillan Publishing Co., Inc., New York
  7. Mikkola, A. M. and Shabana, A. A., 2001, 'A New Plate Element based on the Absolute Nodal Coordinate Formulation,' in Proceedings of ASME 2001 DETC, Pittsburgh
  8. Omar, M. A. and Shabana, A. A., 2001, 'A Two-Dimensional Shear deformation Beam for Large Rotation and Deformation,' in Journal of Sound and Vibration 243 (3), pp. 565-576 https://doi.org/10.1006/jsvi.2000.3416
  9. Pogorelov, D., 1997, 'Some Developments in Computational Techniques in Modeling Advanced mechanical Systems,' in Proceedings of IUTAM Symposium on Interaction between Dynamics and Control in Advanced Mechanical Systmems, D. H. van Campen (Ed.), Kluwer Academic Publishers, Dordrecht, pp. 313-320
  10. Takahashi, Y., Shimizu, N. and Suzuki, K., 2002, Introduction of Damping Matrix into Absolute Nodal Coordinate Formulation, Proceedings of ACMD '02, pp. 33-40
  11. Wan-Suk Yoo, Jeong-Han Lee, Jeong-Hyun Sohn, Su-Jin Park, Oleg Dmitrochenko and Dmitri Pogorelov, 2003, 'Large Oscillations of a Thin Cantilever Beam : Physical Experiments and Simulation using Absolute Nodal Coordinate Formulation,' Nonlinear Dynamics Journal, 34, pp. 3-29 https://doi.org/10.1023/B:NODY.0000014550.30874.cc
  12. Wan-Suk Yoo, Jeong-Han Lee, Jeong-Hyun Sohn, Su-Jin Park, Oleg Dmitrochenko and Dmitri Pogorelov, 2003, 'Large Deflection Analysis of a thin plate with ANCF : Computer Simulation and Experiments,' Proceeding of ECCOMAS Thematic Conference Multibody 2003, Lisbon, Portugal