中心刚体-柔性梁刚柔耦合动力学模型降阶研究  

MODEL REDUTION OF RIGID-FLEXIBLE COUPLING DYNAMICS OF HUB-BEAM SYSTEM

作　　者：李莉[1] 刘铸永[1] 洪嘉振[1] 

机构地区：[1]上海交通大学工程力学系,上海200240

出　　处：《动力学与控制学报》2015年第1期6-10,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(11202126;11132007);上海市自然科学基金(11ZR1417000);海洋工程重点实验室项目资助(GKZD010061)~~

摘　　要：有限单元法被广泛的采用来描述柔性体的弹性变形,然而有限元节点坐标数目庞大,将会给动力学方程求解带来巨大的计算负担.如何降低柔性体的自由度,是当前柔性多体系统动力学研究的一个重要命题.本文以中心刚体-柔性梁系统为例,采用Krylov方法和模态方法进行降价.然后分别采用有限元全模型、Krylov降阶模型和模态降阶模型,对中心刚体-柔性梁进行刚-柔耦合动力学仿真.仿真结果表明,与采用模态降阶方法相比,采用Krylov模型降阶方法只需要较低的自由度,就可以得到与采用有限元方法完全一致的结果.说明Krylov模型降阶方法能够有效的用于柔性多体系统的模型降价研究.The finite element method is widely used to describe the elastic deformations of flexible bodies,which leads to a large number of elastic coordinates and large computational burden. In order to reduce the degree-offreedom of flexible bodies,a modal method and a Krylov method were used to reduce the degree-of-freedom of the flexible hub-beam system. Then the finite element model,and the reduced models based on modal method and Krylov method were used to do simulation respectively. The numerical simulations show that using the Krylov method shows faster convergence than using the modal method. It means that Krylov method is an efficient method to implement model reduction of flexible multibody system.

关 键 词：柔性梁 刚柔耦合 模型降阶 动力学仿真 

分 类 号：O313.7[理学—一般力学与力学基础]