摘要
梁基频和振型的简单计算是结构动力学领域中一个重要的研究课题。幂法通过迭代可求得基频和振型的精确解,但计算过程繁琐。本文选择梁各质点静变形量作为初始值进行迭代,只需迭代很少次数就可求得梁基频和振型的精确解,大大简化了计算过程,同时推导出了计算静变形量所需的多自由度梁柔度矩阵的计算公式,使这种方法简单易行。
A simple method for calculating the fundamental frequency and the mode shape of the beam is important problem in structural dynamics. The fundamental frequency and the mode shape are obtained by calculating repeatedly with ＂power＂method. But the process was very trouble. The static deflection of the mass points was beginning value in this paper. Because the static deflection and the basic mode shape were very similar,the exact solution of the basic frequency and the mode shape were achieved by calculating repeatedly few bouts. In this method the calculating process was simplified. In order to enhance the practicability of this method,the formula of the compliance matrix that was necessary in calculating the static deflection was deduced in this paper,at the same time.
出处
《四川建筑科学研究》
北大核心
2010年第5期134-136,共3页
Sichuan Building Science
基金
陕西省自然科学基金资助项目(SJE210)
关键词
基频
振型
简单计算
静变形量
柔度矩阵
fundamental frequency
mode shape
simple calculating
static deflection
compliance matrix
