Second-order sensitivity of eigenpairs in multiple parameter structures

• 作 者: 陈塑寰 郭睿 孟广伟
• 机 构: CollegeofMechanicalScienceandEngineering,StateKeyLaboratoryofAutomobileDynamicSimulation
• 出 处: 应用数学和力学：英文版
• 发表日期: 2009年12期
• 关键词: 参数结构 秩序 敏感性 特征对 HESSIAN矩阵 第二特征值 灵敏度矩阵 二阶摄动 multiple parameter structures second-
• 基金项目: Project supported by the 985-Engineering Innovation of Graduate Students of Jilin University and the Science and Technology Development Foundation of Jilin Province （20070541）

This paper presents methods for computing a second-order sensitivity matrix and the Hessian matrix of eigenvalues and eigenvectors of multiple parameter structures. Second-order perturbations of eigenvalues and eigenvectors are transformed into multiple p