计算力学学报2024，Vol.41Issue(4)：790-794,800,6.DOI:10.7511/jslx20230105001
使用实模态计算非比例阻尼系统的复模态
Calculation of complex modes of non-proportionally damped systems using real modes
摘要
Abstract
In this paper,a new method for calculating complex modes of non-proportionally damped systems using real modes is proposed.First,an embedded parameter is introduced to directly connect the undamped system with the damped system,and then the modal normalization condition is constructed.The eigenvalues and eigenvectors of the non-proportionally damped system are expanded as the power series of this parameter to obtain the governing equations of the expansion coefficients.The eigenvector expansion coefficients can be determined by solving systems of equations with the same symmetric real-coefficient matrix by Nelson's method for each eigenpair.The proposed approach involves only the modes of interest,no modal truncation,but no generalized inversion,and no matrix expansion.Two numerical examples are given to illustrate the effectiveness of the proposed method.关键词
非比例阻尼/复模态/摄动展开/模态规范化/Nelson方法Key words
non-proportional damping/complex mode/perturbation expansion/mode normalization/Nelson's method分类
数理科学引用本文复制引用
魏向天,吴柏生,钟慧湘..使用实模态计算非比例阻尼系统的复模态[J].计算力学学报,2024,41(4):790-794,800,6.基金项目
广东省重点领域研发计划(2019B09091702)资助项目. （2019B09091702）
