| 具有有限弹性变形部件的多体系统动力分析 |
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| 引用本文： | 陆佑方,王彬.具有有限弹性变形部件的多体系统动力分析[J].吉林大学学报(工学版),1988(2). |
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| 作者姓名： | 陆佑方 王彬 |
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| 作者单位： | 吉林工业大学工程力学系
(陆佑方)，吉林工业大学工程力学系(王彬) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文主要论述了具有有限弹性变形部件的多体系统非线性动力学控制方程。方程中包含几何非线性和惯性非线性两方面的因素。几何非线性是考虑了应变-位移关系式中的二次项,在采用计及剪切和截面回转惯性的Timoshenko梁单元的情况下得到一个新的几何非线性刚度阵,而惯性非线性则是考虑了部件大幅度的转动。文中采用欧拉参数来描述部件参考系的转动。三个数值例子是用来考察上述因素在系统瞬态响应中的影响。
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| 关 键 词： | 有限弹性变形 柔性多体系统 惯性耦合 |
Dynamic Analysis of Multibody Systems with Finite Elastic Deformation Components |
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| Lu Youfang Wang Bin.Dynamic Analysis of Multibody Systems with Finite Elastic Deformation Components[J].Journal of Jilin University:Eng and Technol Ed,1988(2). |
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| Authors: | Lu Youfang Wang Bin |
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| Affiliation: | Lu Youfang Wang Bin |
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| Abstract: | In this paper, nonlinear governing dynamic equations of multibody system with finitelastic deformation components are developed. Two sources of nonlinearities. namely geometric and inertia, are considered in this formulation. Geometric elastic nonlinearities are considered as the quadratic terms in the strain-displacement relationships and accordingly a new geometric stiffness matrix for the shear and rotary inertia effects of the Timoshenko beam elements is employed. .Inertia nonlinearities, however, are the consequence of the large angular rotations. Euler parameters are employed to describe the rotations of body reference. Three numerical examples are used to demonstrate those influences on the transient response of the systems. |
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| Keywords: | finite elastic deformation I'lexible multi-body inertia coupling |
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