复特征值的一阶摄动解

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First-Order Perturbation Solution to the Complex Eigenvalues

摘要: 本文将矩阵摄动法,推广到系统质量、阻尼和刚度矩阵为非对称的情形,引入伴随特征向量的概念,应用复模态理论中的正交关系,导出了系统复特征值的一阶摄动解。数值算例表明,这一方法是可行有效的。

Abstract: The matrix perturbation method is extended to discrete linear nonconservative system with unsymmetrical matrices in this article.By introducing the concept of the adjoint complex eigenvector and by making use of the orthogonality relationship in the complex mode theory,the first-order perturbation solution to the complex eigenvalues is derived.Numerical example shows that this method is efficient and practicable.

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