节点文献
计算亏损系统模态灵敏度的逐层递推演算方法
RECURSIVE SOLUTION ON LAYER AFTER LAYER FOR SENSITIVITY ANALYSIS OF MODES ON DEFECTIVE LINEAR VIBRATION SYSTEM
【摘要】 对不具有完全特征向量系的线性振动亏损系统,在由广义模态理论建立的亏损系统广义模态空间中,给出了亏损系统广义模态灵敏度分析算法,并推导出以逐层递推方式计算广义模态展开式系数的简便、快速的演算公式.给出的数值算例证明了此方法的正确性和有效性.
【Abstract】 Generalized modes method of defective systems for eigenvector sensitivity analysis is presented.It is proposed to establish a feature space about generalized modes by using the theory of generalized modes for sensitivity analysis in linear vibration defective systems which does not possess a complete set of eigenvectors in N-space.Simultaneously a brief and rapid algorithm is introduced to calculate the coefficients of the power series expression of generalized modes by gradual and recursive solution.A numerical example is provided to illustrate the accuracy and efficiency of the algorithms.
【Key words】 defective system; complete set of eigenvectors; sensitivity analysis; theories of generalized modes; Jordan form;
- 【文献出处】 力学学报 ,Chinese Journal of Theoretical and Applied Mechanics , 编辑部邮箱 ,2008年02期
- 【分类号】O321
- 【被引频次】18
- 【下载频次】120