【作者】 张森文；

【Author】 Zhang Senwen (Department of Basic Science,Beijing Agriculture Engineering Vmversity,Beijing 10083)

【机构】 北京农业工程大学；

【摘要】 本文研究了在材料特性参数随机场分布的非线性结构受随机激励下动力响应的计算问题。使用了与摄动方法相结合的随机有限元方法,在空间离散化方程中用时域直接积分(随机中心差分方法)计算了速度与位移响应方差。首先以二自由度线性结构为例,以解析解和一阶摄动解校核直接数值积分方法的精度,然后用随机有限元时域直接积分方法计算了非线性简支梁的动力响应。研究表明材料特性参数对结构响应有重要的影响。更多还原

【Abstract】 In this paper the dynamic responses of nonlinear mult-Degree-of-Freedom structures in which the material parameters are random field distributions are investigated.Using the perturbation method combined with stochastic finite element method to separate the motion equations in space domain firstly,and then the direct integration method in time domain has been used to compute the veriances of displacement and velocities of the sys- tems subjected to randon excitations.A TDOF linear system is analyzed for giving a comparison of the closeform solution and the numerical inte- gration results,and a nonlinear simply supported beam is analyzed by Stochastic Finite Element-Direct Integration Method.The results show that the material parameters strongly influence the response of the sys- tem.更多还原