Sensitivities of Eigenvalues and Eigenvectors from Complex Perturbations
Sensitivities of Eigenvalues and Eigenvectors from Complex Perturbations
复制标题
复杂扰动的特征值和特征向量的敏感性
DOI：
10.1007/978-1-4614-2419-2_59
复制
发表时间：
2012
影响因子：
2.1
通讯作者：
D. Bernal
中科院分区：
文献类型：
--
作者：
D. Bernal
研究了用复摄动估计自伴随保守模型中模态参数灵敏度的方法。在复阶导数（CSD）方法中，对需要求导的参数在虚轴方向上进行扰动，求解扰动矩阵的特征值问题；实部是无摄动特征值问题的解，虚部是灵敏度乘以摄动量。本文考察了CSD方法作为计算结构动力学灵敏度的一种方法的效用。
The utility of complex perturbations to estimate the sensitivity of modal parameters in self-adjoint conservative models is examined. In the Complex Step Derivative (CSD) approach the parameter for which the derivative is required is perturbed in the direction of the imaginary axis and the eigenvalue problem for the perturbed matrices is solved; the real part has the solution of the unperturbed eigenvalue problem and the imaginary the sensitivities times the perturbation magnitude. This paper examines the utility of the CSD approach as a method to compute sensitivities in structural dynamics.