A Numerical Method Combining Differential Geometry with Backward Differentiation Formula for Dynamics of Flexible Multibody Systems

Feng Li, Ye Shanghui, Liu Mingzhi
(Xidian University, Xi'an, 710071)

Abstract: On the basis of differential geometic theory that is used to solve differential algebraic equations, a new numericl method for dynamics of flexible multibody systems is presented, which combines differential geometric approach with backward differentiation formula. Also the validity and effectiveness are illustrated with typical examples.
Keywords: dynamics of flexible multibody systems, differential-algebraic equations, differential geometry, backward differentiation formula.