摘要
文献 [3]利用矩阵级数展开和特征值的谱迭加原理 ,将截断模态对响应的贡献用已知模态和系统矩阵来精确表达。本文在此基础上 ,利用特征值移位的方法 ,使计算载荷的频率提高 ,甚至接近于保留的模态频率 ,给出了实用的移位值。
Fast and accurately evaluating the contribution due to the truncated modes to the response of harmonic excitation is put forward in reference \ without using the truncated modes. By using the series expansion of a matrix function and the theory of spectral representation of a matrix, the contribution due to the truncated modes to the response of a harmonic excitation is expressed exactly and explicitly, with the available low-frequency modes and the system matrices. The objective of this paper is to extend the method in reference \ by eigenvalue shift so that the frequency of the harmonic excitation can be near the higher natural frequency of the retained modes, and the practical shift value is put forward. The numerical examples are given to demonstrate the validity and the effectiveness of the present method.\;
出处
《山东工程学院学报》
CAS
2000年第3期6-10,共5页
Journal of Shandong Institute of Technology
基金
国家-自-然科学基金项目!(19990510)
国家攀登计划项目!(PD9521900)
汽车动态模拟国家重点实验室开放项目!(2000012)
