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结构自振特性的边界单元法分析
引用本文:李跃宇,姜弘道.结构自振特性的边界单元法分析[J].河海大学学报(自然科学版),1990,18(5):21-29.
作者姓名:李跃宇  姜弘道
作者单位:河海大学工程力学系,河海大学工程力学系
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.

关 键 词:边界元  结构动力学  自振特性

Eigenfrequency Analysis of Structures with Boundary Element Method
Li Yueyu Jiang Hongdao.Eigenfrequency Analysis of Structures with Boundary Element Method[J].Journal of Hohai University (Natural Sciences ),1990,18(5):21-29.
Authors:Li Yueyu Jiang Hongdao
Abstract: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.
Keywords:boundary element method  dynamic analysis of structures  eigenvalues  numerical calculation  
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