摘要
本文给出状态空间法的一种新技巧,用于求解自适应结构的振动频率和阻尼比·当采用集中质量法时,状态矩阵的Cholesky分解具有解析式·从而既可提高计算精度,又可节约计算时间·最后以算例加以说明·
In this paper, a new technique of state vector approach to solving damping ratios of adaptive structures is proposed, by which the state matrix can be analytically conducted the Cholesky decomposition, providing that the mass matrix is derived by lumped method. In this case, not only the computational accuracy is raised,but also the numerical operations are reduced. Finally,some numerical results are presented to show that the solution method is simple and efficient.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第6期647-653,共7页
Applied Mathematics and Mechanics
基金
国家863基金
关键词
自适应结构
状态空间法
阻尼比
振动频率
adaptive structure
active member
state vector approach
frequency
damping ratio