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柔性多体动力学的建模与计算

The Modeling and Calculating for the Flexible Multibody System Dynamics
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摘要 本文在对柔性多体动力学发展略作回顾的基础上,采用d'Alembert-Lagranse原理,对由基座、(n-1)个柔性连杆及端部负载组成、相互之间由柱铰联结的柔性链式多体系统进行理论建模;柔性杆模态取三维梁单元进行有限元离散;算法上选用Gear算法克服柔体动力学微分方程的刚性(Stiffness)问题。成功地进行了一种工况的失重柔性机械臂的动力学数值计算,为在其上进一步实施控制打下了良好的基础。 In this paper,above the introduction to the development of the flexible multibody system dynamics,d'Alembert-Lagrange principle is used for modeling a system consisted of a base,(n-1)rods and a load at the tip which connects each other with hings.In FEM modal analysis,the 3-dimensions beam element is adopted to get discret model.The GEAR algorithm is employed to ovetcome the difficulty for stiff ordinary differential equations in the flexible multibody system.The examples is successfully calculated.The work in this paper would be a good foundation for the control.
作者 赵平 薛克宗
出处 《华北水利水电学院学报》 1994年第1期52-61,共10页 North China Institute of Water Conservancy and Hydroelectric Power
基金 国家航天局资助
关键词 柔性多体动力学 数值模拟 柔性机械臂 Flexible multibody dynamics,Numerical simulation,Stiffness ordinary differential equation
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