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基于随机场理论,将纤维和基体性能以及纤维体积分数作为随机场变量,利用局部平均法对随机场进行离散。结合MATLAB与ANSYS的PDS模块对复合材料层合板临界屈曲载荷进行Monte-Carlo模拟,分析各类随机场变量、随机场的相关长度、对称性和边界条件对临界屈曲载荷分散性的影响。结果表明:不同随机场变量对层合板屈曲载荷分散系数影响的程度不同,纤维体积分数的影响最大,其次为纤维性能与基体性能;屈曲载荷的分散系数存在尺寸效应,随着板尺寸的增加,屈曲载荷分散系数逐渐减小;减小相关长度可有效地减小屈曲载荷的分散系数;纤维正对称铺设所引起的屈曲载荷分散系数稍大于反对称铺设情况,而两对边固支板的屈曲载荷分散系数一般大于四边简支板的结果。
Based on random field theory, the properties of fiber and matrix as well as the volume fraction of fiber are taken as random field variables, and local random method is used to discretize random fields. Combined with MATLAB and ANSYS PDS module, the critical buckling loads of composite laminates are simulated by Monte-Carlo method. The influence of various random field variables, the correlation length and symmetry of random fields and the boundary conditions on the dispersion of critical buckling loads are analyzed. The results show that different random field variables have different effects on the buckling load dispersion coefficient of the laminate, the fiber volume fraction has the greatest influence, followed by the fiber properties and the matrix properties. The dispersion coefficient of the buckling load has the size effect. With the increase of the plate size, The buckling load dispersion coefficient decreases gradually; reducing the correlation length can effectively reduce the dispersion coefficient of buckling load; the buckling load dispersion coefficient caused by the fiber symmetric laying is slightly larger than the antisymmetric laying condition, while the buckling of the two pairs of edge fixing plates Load dispersion coefficient is generally greater than the results of four sides simply supported.