弹性支持任意铺层加筋板的非线性稳定性分析

NONLINEAR STABILITY ANALYSIS OF ARBITRARILY LAMINATED STIFFENED PLATES WITHELASTICALLY SUPPORTED EDGES

本文利用能量变分原理和广义傅里叶级数法对具有弹性支持的复合材料任意铺层加筋板在面内各种组合载荷作用下的非线性稳定性特性进行了研究。通过采用牛顿一梯度法数值求解，证明前屈曲压—弯耦合效应对弹性支持的复合材料加筋板的屈曲和后屈曲特性均产生了明显的影响，以致于在压、剪载荷作用的开始即产生了横向翘曲变形。只有当加筋板的四边为夹支时，这种前屈曲耦合效应才不明显。除此之外，还得到了一些与非加筋的层合板完全不同的屈曲和后屈曲特性。所得结果与文献上的相关计算或实验结果对比后均吻合很好，证明本文的理论分析和数值计算是正确有效的。

The behaviour of nonlinear stability of the stiffened plates under various inplanecombined loadings is studied by variational principle and generalized Fourier series method.The equations are solved by use of Newton-gradient method. The pre-buckling compressing-bending coupling effect greatly affects the buckling and post-buckling behaviour of elasticallysupported composite stiffened plates so that the transverse deflection is produced when thecompressing and shearing load starts to act on the plates, The pre-buckling coupling effect isnot obvious only when the stiffened plates are clamped at four edges. Some relevantbehaviour completely different from that of non-stiffened laminated plates is also obtained.The results predicted are in good agreement with the relevant calculated and experimentalresults in previous papers.