粘性阻尼系统的自由界面模态综合法
The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping
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摘要: 本文对任意粘性阻尼系统提出一种新的自由界面部件模态综合方法.对于具有刚体自由度的部件引入状态向量描述的左、右投影矩阵,论证了投影矩阵对状态位移及状态力的算子作用,据此定义了状态剩余柔度矩阵及状态剩余惯性释放附着模态.文中提供的三个算例表明,本文提出的方法具有较高的计算精度和模态综合效率.Abstract: This paper presents a new free-interface method of component mode synthesis for linear systems with arbitrary viscous damping.The left and right projection matrices described by state-variable vectors are first introduced for components with rigid-body freedom.The operator function of projection matrices for state displacement and state force is proved, and then the state residual flexibility matrix and the state residual inertia--relief attachment more are defined and employed. The results of three examples demonstrate that the method proposed in this paper leads to very accurate system eigenvalues and high mode-synthesis efficiency.
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Key words:
- viscously damped systems /
- component mode synthesis /
- projection matrix
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