Stabilization and Projection Methods for Multibody Dynamics

摘要

In recent years there has been growing interest in stabilized index reductiontechniques for differential-algebraic equations (DAE) of multibody dynamics. In the paper the authors discuss a number of the proposals which incorporate the idea of a projection onto the constraint manifold. The authors divide the methods into classes based on whether the projection is performed on the residuals of the discretized DAE or on the numerical solution itself, and demonstrate relationships between the methods of each class.