Abstract
The efficiency and accuracy are two most concerned issues in the modeling and simulation of multi-body systems involving contact and impact. This paper proposed a formulation based on the component mode synthesis method for planar contact problems of flexible multi-body systems. A flexible body is divided into two parts: a contact zone and an un-contact zone. For the un-contact zone, by using the fixed-interface substructure method as reference, a few low-order modal coordinates are used to replace the nodal coordinates of the nodes, and meanwhile, the nodal coordinates of the local impact region are kept unchanged, therefore the total degrees of freedom (DOFs) are greatly cut down and the computational cost of the simulation is significantly reduced. By using additional constraint method, the impact constraint equations and kinematic constraint equations are derived, and the Lagrange equations of the first kind of flexible multi-body system are obtained. The impact of an elastic beam with a fixed half disk is simulated to verify the efficiency and accuracy of this method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hu, B., Schiehlen, W.: Multi-time scale simulation for impact systems: from wave propagation to rigid-body motion. Archive of Applied Mechanics 72, 885–898 (2003)
Djerassi, S.: Collision with friction; Part A: Newton’s hypothesis. Multibody Syst. Dyn. 21, 37–54 (2009)
Djerassi, S.: Collision with friction; Part B: Poisson’s and Stornge’s hypothesis. Multibody Syst. Dyn. 21, 55–70 (2009)
Djerassi, S.: Three-dimensional, one-point collision with friction. Multibody Syst. Dyn. 27, 173–195 (2012)
Bauchau, O.A.: Analysis of flexible multibody systems with intermittent contacts. Multibody System Dynamics 4, 23–54 (2000)
Bauchau, O.A., Ju, C.K.: Modeling friction phenomena in flexible multibody dynamics. Comput. Methods Appl. Mech. Engrg. 195, 6909–6924 (2006)
Schiehlen, W., Seifried, R.: Three approaches for elastodynamic contact in multibody systems. Multibody System Dynamics 12, 1–16 (2004)
Dong, F.X., Hong, J.Z., Zhu, K., et al.: Numerical and experimental studies on impact dynamics of a planar flexible multibody system. Acta Mechanica Sinica 26, 635–642 (2010)
Wang, D.T., Hong, J.Z., Wu, T.H.: Additional contact constraint method in impact stage of planar flexible multi-body dynamics. Chinese Journal of Theoretical and AppliedMechanics 43, 1157–1161 (2011)
Heinstein, M.W., Mello, F.J., Attaway, S.W., et al.: Contactimpact modeling in explicit transient dynamics. Computer Methods in Applied Mechanics and Engineering 187, 621–640 (2000)
Feng, Z.Q., Joli, P., Cros, J.M., et al.: The bi-potential method applied to the modeling of dynamic problems with friction. Comput. Mech. 36, 375–383 (2005)
Schiehlen, W., Seifried, R., Eberhard, P.: Elastoplastic phenomena in multibody impact dynamics. Comput. Methods Appl. Mech. Engrg. 195, 6874–6890 (2006)
Han, S.L., Hong, J.Z.: Multi-variable method for flexible multibody systems with contact/impact. Chinese Journal of Theoretical and Applied Mechanics 43, 886–893 (2011)
Joo, W., Yee, K., Lee, D.H., et al.: Dynamic analysis of structural systems using component modes. AIAA Journal 3, 678–685 (1965)
Author information
Authors and Affiliations
Corresponding author
Additional information
The project was supported by the National Natural Science Foundation of China (11132007 and 11272203).
Rights and permissions
About this article
Cite this article
Chen, P., Liu, JY. & Hong, JZ. Contact-impact formulation for multi-body systems using component mode synthesis. Acta Mech Sin 29, 437–442 (2013). https://doi.org/10.1007/s10409-013-0032-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-013-0032-3