随机参数板梁组合结构有限元分析的随机因子法

以随机物理参数板梁组合结构为对象，研究了其在随机力作用下的有限元分析方法．利用随机因子法，建立了结构的弹性模量和外载荷同时具有随机性时结构的有限元方程；利用代数综合法推导出结构位移和应力响应的均值、方差的计算表达式．通过算例，分析了结构物理参数和外载荷的随机性对结构位移和应力响应的影响，并验证了文中模型和方法的合理性与可行性．

Random factor method of finite element analysis for random plate-beam composite structures

The finite element analysis methods for plate-beam composite structures with random physical parameters under the random loads action are studied. Based on the random factor method, considering the randomness of both the elastic module of the structures and the applied load, the finite element equations of the structures are built, and the computational expressions of the mean value and mean variance of the structural displacement response and stress response are developed by the algebra method. Through examples, the influences of the randomness of the structural physical parameters and loads on the structural displacement and stress response are analyzed, and the rationality and feasibility of presented model and approach are validated.