摘要
本文阐述了用边界单元法计算结构自振频率与振型的原理与具体实施方法,给出了计算支配方程系数矩阵元素用的特殊函数的逼近公式,用求复行列式模的局部极小值方法计算各阶自振频率,用最小二乘法计算相应的各阶振型.计算实例表明,用边界单元法计算结构自振特性,前处理简单,精度较高,不失为一种有效的方法.
In this paper, the principle and the calculation method of eigenfrequency analysis of structures with BEM are introduced. The approach formulas are given for the calculation of Bessel functions in the coefficient matrix of governing equations. The eigenfrequency of structures is obtained as such values that the complex determinant achieves local minima. The least square method is used to calculate the eigenmodes of structures. Some examples show that the present method is an efficient one to solve the eigenvalue problems of structures.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1990年第5期21-29,共9页
Journal of Hohai University(Natural Sciences)
关键词
边界元
结构动力学
自振特性
boundary element method
dynamic analysis of structures
eigenvalues
numerical calculation
