| 亏损结构振动方程的稳态响应求解 |
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| 引用本文： | 张淼.亏损结构振动方程的稳态响应求解[J].松辽学刊,2014(1):91-94. |
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| 作者姓名： | 张淼 |
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| 作者单位： | 长春工程学院理学院,吉林长春130012 |
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| 基金项目： | 吉林省自然科学基金项目（201215115）;吉林省科技发展计划青年科研基金项目（201201137） |
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| 摘 要： | 针对亏损系统结构、摒弃状态向量、引入广义状态向量及其伴随向量,构成良好的状态矩阵对角化条件,从而解耦振动方程.解耦后在状态空间中,原系统的二阶微分方程转化为一组一阶可解微分方程,讨论其解来获得原系统的稳态响应.
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| 关 键 词： | 亏损系统 广义状态向量 稳态响应 伴随向量 解耦 |
Algorithm for Computing the Steady-state Response of Differential Equations of Defective System |
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| ZHANG Miao.Algorithm for Computing the Steady-state Response of Differential Equations of Defective System[J].Songliao Journal (Natural Science Edition),2014(1):91-94. |
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| Authors: | ZHANG Miao |
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| Institution: | ZHANG Miao ( School of Science, Changchun Institute of Technology, Changchun 130012, China) |
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| Abstract: | In the presence of the defective multiple-frequency system, the dynamic differential equations can be decoupled by introducing generalized eigenvector with its adjoint vectors instead of state vectors. Due to the superior orthogonal and normal properties that occurs in the generalized state space the diagonalization of the state matrice come true. The original second-order differential equations are translated into set of first-order differential equations solving by classical technique. Finally the dynamic response under simple harmonic excitation can be obtained. |
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| Keywords: | defective system generalized eigenvector steady-state response adjiont vector decoupling |
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