摘要
对前期研究中提出的广义逆拓扑变化理论作了进一步研究。引入了一个新概念——D值,并得到了静力结构拓扑变化法中D值的有界性质、单调性质以及D值随特征值的变化性质,据此提出了一个求解特征值的新方法,称之为D值迭代法。该方法具有精度和收敛速度与相邻特征值之比无关的特点,具有一定的理论意义和实用价值。
A improved method of the M-P inverse topological variation method was presented. A new concept called D-value was introduced and its properties about bounds and monotonousness were obtained for structures. The property of D-value changing with eigenvalue was obtained and a new method called the iteration method of value was presented for calculating eigenvalues of the finite element structures. This method has advantages that the accuracy and convergent rate don＇t depend on the closeness of two adjacent eigenvalues, and has important applications in structural analysis.
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2007年第6期1313-1316,共4页
Journal of Jilin University:Engineering and Technology Edition
基金
高等学校博士学科点专项科研基金资助项目(20050183018)
吉林大学'985工程'资助项目
关键词
固体力学
广义逆拓扑变化法
有限元结构
特征值
D值迭代法
solid-state machanics
generalized inverse topological variation method
finite element structure
eigenproblem
