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微分几何与向后差分相结合的多柔体系统动力学数值方法
引用本文:冯力 叶尚辉 等. 微分几何与向后差分相结合的多柔体系统动力学数值方法[J]. 应用力学学报, 1998, 15(4): 92-96
作者姓名:冯力 叶尚辉 等
作者单位:西安电子科技大学
摘    要:
将处理微分-代数混合方程的微分几何方法与向后差分相结合,建立了一种新的求解多柔体系统的力学方程的数值方法,通过典型算例验证了方法的正确性和有效性。

关 键 词:多柔体系统动力学;微分-代数方程;微分几何;向后差分

A Numerical Method Combining Differential Geometry with Backward Differentiation Formula for Dynamics of Flexible Multibody Systems
Feng Li Ye Shanghui Liu Mingzhi. A Numerical Method Combining Differential Geometry with Backward Differentiation Formula for Dynamics of Flexible Multibody Systems[J]. Chinese Journal of Applied Mechanics, 1998, 15(4): 92-96
Authors:Feng Li Ye Shanghui Liu Mingzhi
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.
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