This paper presents an efficient algorithm for parallel implementation of multi-flexible-body dynamics systems simulation and analysis. The effective overall computational cost of the algorithm is logarithmic when implemented with a processor optimal O(n) processors. This algorithm formulates and solves the nonlinear equations of motion for mechanical systems with interconnected flexible bodies subject to small elastic deformation together with large rotations and translations. The large rotations or translations are modeled as rigid body degree of freedom associated with the interconnecting kinematic joint degrees of freedom. The elastic deformation of the component bodies is modeled through the use of admissible shape functions generated using standard finite element analysis software or otherwise. Apart from the approximation associated with the elastic deformations, this algorithm is exact, non-iterative and applicable to generalized multi-flexible chain and free topologies.
- Design Engineering Division and Computers and Information in Engineering Division
A Logarithmic Complexity Divide and Conquer Algorithm for Flexible Multibody Dynamics
- Views Icon Views
- Share Icon Share
- Search Site
Mukherjee, R, & Anderson, K. "A Logarithmic Complexity Divide and Conquer Algorithm for Flexible Multibody Dynamics." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 195-205. ASME. https://doi.org/10.1115/DETC2005-85012
Download citation file: