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Jones.R.M和Whitney.J.M利用Whitney解分析了四边为S_3简支边界条件下,耦合效应对反对称角铺设层合板稳定和振动问题的影响。关于在其它边界下的情形,还未见有报道。本文应用加权残值法,选取样条函数——三角级数为试函数,计算了两对边为筒支,另两对边为各种支承的反对称角铺设层合板的屈曲载荷和振动频率。分析了由于边界条件不同所产生的边界效应对其屈曲载荷和振动频率的影响,得到了许多有意义的结果。
Jones.R.M and Whitney.J.M used the Whitney solution to analyze the effects of coupling effects on the stability and vibration of laminated laminates with antisymmetric angles under the condition that the four sides are simply supported by S_3. There have been no reports on the situation under other borders. In this paper, the weighted residual method is used to select the sampling function, the trigonometric series is the trial function, and the buckling load and vibration frequency of the laminated plates with two opposite sides being the cylinder support and the other two opposite sides being the antisymmetric angles of various supports are calculated. . The influence of boundary effects due to different boundary conditions on the buckling load and vibration frequency is analyzed, and many meaningful results are obtained.