摘要
本文从力学和数学两个角度,阐明了刚体-弹簧元法的机理,首次导出了界面应力的一般公式(适用于不同介质的交界面);并且根据哈密顿原理,推导了刚体-弹簧元分析结构动力响应的计算公式,编制了相应的程序;数值计算了典型考题、印度柯依那(Koyna)重力坝的自振特性及该坝在实际地震波作用下的动力响应.计算结果与有关文献及该坝的实际震害均较一致.
The Principle of Piecewise Rigid Body-lnterface Spring Method is proved from the angles of mechanics and mathematics,and the general formula which can be used to calculate stresses on the interface between different materials is frist derived in this paper.Based on Hamilton principle,the dynamic Rigid Body-Spring Method is also studied.A program has been developed,and some classical static problems and the dynamic characteristics of Koyna Gravity Dam subjected to the earthquake are calculated.The results obtained are in agreement with those in relavent papers and actual earthquake disasters of Koyna Gravity Dam.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1993年第5期34-43,共10页
Journal of Hohai University(Natural Sciences)
关键词
弹簧元法
介质
刚体
结构
rigid finite element
intreface spring
virtual work principle
weigthed residual method
structural dynamic analyses
discontinuous medium
Hamilton principle
