摘要
以提高复杂动态结构可靠性分析精度为主要目的 ,将概率分析方法与结构动力学研究相结合 ,应用三参数可靠性分析模型 ,运用摄动原理、概率有限元法和二次三阶矩法推导出概率结构特征值、动位移、动应力的数字特征及概率分布的计算表达式。在此基础上 ,以结构的材料性能参数为随机变量 ,计算了在动载荷状态下的圆盘的可靠度 ,并与 Monte-Carlo法的计算结果进行了对比。结果表明所提出方法更加有效、简捷。
To improve the reliability analysis accuracy for complex dynamic structure, the study combines the method of stochastic analysis with that of the structural dynamics,and based on the model of three-parameter reliability analysis, the matrix perturbation theory, the stochastic finite element method, and the second order and three moment method, and from the formulas are derived,which can be used to calculate stochastic structural eigenvalue, dynamic displacement, dynamic stress respeetively.On the basis of above, the reliability of a disk structure is evaluated with the random variables in the material properties and its result is compared with that from Monte-Carlo method. It concludes that the method presented in the paper is more effective and concise.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2003年第19期1690-1693,共4页
China Mechanical Engineering
基金
国家自然科学基金资助项目 (5 9675 0 2 3 )
航空科学基金资助项目 (0 0 C5 3 0 18)
关键词
结构动力学
可靠性
概率
有限元法
摄动
structural dynamics reliability stochastic finite element method matrix perturbation
