摘要
本文提出分析不确定性结构随机动力响应的一种新的数值方法——动态随机有限元法。它的特点是引入反映结构振动特性的动态形函数,文中导出了相应的计算列式。算例表明,本文方法的计算效率及数值精度均优于一般的随机有限元法,具有应用前景。
The dynamic stochastic finite element method, a new random numerical method, is developed for analyzing the stochastic dynamic response of structures with random parameters. A dynamic shape function with structural frequency is adopted to describe the displacement field under dynamic load. The basic concepts and the relevant formulae of the method are expounded in this paper. Numerical example shows that the proposed method is superior to common stochastic finite element method in the efficiency of calculation and the accuracy of solutions. Hence, the method could be applied to analyze random dynamic responses of practical engineering structures.
出处
《地震工程与工程振动》
CSCD
北大核心
1998年第1期1-7,共7页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金
关键词
动态随机
有限元
随机结构
随机场
结构动力学
dynamic stochastic finite element method, structure with random parameter, random field, stochastic dynamic response