| 流固耦合系统动力响应的模态分析理论 |
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| 引用本文： | 戴大农,王勖成.流固耦合系统动力响应的模态分析理论[J].固体力学学报,1990,11(4):305-312. |
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| 作者姓名： | 戴大农 王勖成 |
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| 作者单位： | 清华大学，清华大学，清华大学 |
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| 摘 要： | 本文建立了流固耦合系统动力响应的模态分析理论.首先,从系统的位移-速度势型有限元方程出发,导出了一对具有三个实对称矩阵的广义特征值问题以及两者的相互关系.然后,建立了模态矢量之间的广义正交关系,并通过模态展开,获得了系统对外界激励的响应的封闭解.作为示例,最后给出了两个具体问题的解答.
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| 关 键 词： | 流固耦合 动力响应 模态分析 |
A MODAL ANALYSIS FOR THE DYNAMIC RESPONSE OF FLUID-STRUCTURE SYSTEMS |
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| Dai danong, Wang xucheng, Du qinghua Tsinghua University.A MODAL ANALYSIS FOR THE DYNAMIC RESPONSE OF FLUID-STRUCTURE SYSTEMS[J].Acta Mechnica Solida Sinica,1990,11(4):305-312. |
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| Authors: | Dai danong Wang xucheng Du qinghua Tsinghua University |
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| Institution: | Dai danong; Wang xucheng; Du qinghua Tsinghua University |
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| Abstract: | In this paper a theory of modal analysis for the dynamic response of fluid-structure systems is presented. A pair of generalized eigenvalue equations with three real symmetric matrices and their relationships are derived from the finite element equations in the form of structural displacements and fluid velocity potential. Generalized orthogonality relations of modal vectors are then developed. The response of the system to external excitation is derived in closed form by modal expansion. Two examples of the solution are given for illustration. |
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| Keywords: | Modal analysis Fluid-structure interaction |
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