不同边界条件下反对称角交层板的物理非线性稳定性
PHYSICALLY NONLINEAR BUCKLING OF UNSYMMETRIC ANGLE-PLY RECTANGULAR PLATES UNDER VARIOUS SUPPORT CONDITIONS
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摘要: 本文采用修正的Hahn-T sai非线性本构关系,应用加权残值法,以三角级数一五次样条为试函数,计算了承载边简支,另二边为不同支承的反对称角交层板的非线性稳定问题。由于至今谨见到该问题在四边简支条件下有解,因此本文方法大大扩展了这类问题的研究,而且方法可靠。本文以大量数例讨论了材料非线性对不同铺设角、不同层数和不同宽厚比在不同边界条件下的临界载荷的影响,得到了许多有意义的结论。Abstract: Assuming an unsymmetric angle-ply rectangular plate subjected the inplane uniaxial compression, we can get the basic buckling equations as following Let the trial function be where Ui(y),Vi(y) and Wi(y) are the linear combination of quintic B-spline function. The trial function made it possible to investigate the buckling of the laminated plates si帅1y supported at the opposite edges and variously supported at the other edges by weighted-residual method (WRM).
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