Dynamic analysis of constrained multibody systems using inverse kinematics

摘要

This paper draws attention to the advantages that may arise in the dynamic analysis or constrained multibody systems by applying special algorithms of inverse kinematics developed in the field or robotics. The algorithms result in explicit (recursive) relations for the arbitrary chosen dependent coordinates as functions or the remaining (independent) ones. Then analogous velocity and acceleration relations are available. Using these explicit closing condition forms, minimal-dimension governing equations of a constrained system can be formulated conveniently. The avoidance or singularities in the analysis is discussed. An illustrative example is included.