【作者】 黄斌； 史文海；

【Author】 HUANG Bin , SHI Wen-hai(School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China)

【机构】 武汉理工大学土木工程与建筑学院；

【摘要】 本文研究了随机参数结构的弹性屈曲特征值问题,利用非正交多项式混沌展式表达特征值和特征向量,建立了和摄动法类似的一系列确定的递推方程,并通过确定性有限元方法求解了这些递推方程,得到了屈曲特征值的统计值。最后,用算例验证了本文方法可有效解决具有较大涨落随机参数结构的弹性屈曲特征值问题。更多还原

【Abstract】 Classical structural stability analysis provides a deterministic description of the buckling loads and buckled shapes of structures. However, uncertainties in structural dimentions, section properties and support condition introduced from manufacture, fabrication and construction processes cause the buckling load and buckled shape to be random in nature. A new stochastic finite element method for the solution of elastic buckling eigenvalue problems involving material variability is given. Random structural buckling eigenvalues and eigenvectors are expressed as nonorthogonal polynomials chaos expansion. With the aid of the finite element method, a set of deterministic recursive equations are set up to deal with eigenvalue problems through nonorthogonal polynomials of the same order. After coefficients of polynomials chaos expansion are obtained, the second order statistics of the response are derived. The usefulness of the proposed methods is exemplified by considering a three-floor frame with random rigidity.更多还原