New and Extended Applications of the Divide and Conquer Algorithm for Multibody Dynamics

Abstract

This work presents a survey of the current and ongoing research by the authors who use the divideandconquer algorithm (DCA) to reduce the computational burden associated with various aspects of multibody dynamics. This work provides a brief discussion of various topics that are extensions of previous DCAbased algorithms or novel uses of this algorithm in the multibody dynamics context. These topics include constraint error stabilization, splinebased modeling of flexible bodies, model fidelity transitions for flexiblebody systems, and large deformations of flexible bodies. It is assumed that the reader is familiar with the “Advances in the Application of the DCA to Multibody System Dynamicsâ€‌ text as the notation used in this work is explained therein and provides a summary of how the DCA has been used previously.