复合材料层板在弹性支持下的非线性稳定性

利用能量变分原理和非线性几何方程，建立具有弹性约束的复合材料层板，在面内载荷作用下的非线性稳定性控制方程组，通过运用广义傅里叶级数法对控制方程组进行求解，得到相应的截荷－中心挠度曲线。计算结果表明：非对称层合板在面内载荷作用下，一般产生的是向变形，但在一定的铺层顺序，边界条件、受载方式等情况下，也可能发生分叉型屈曲。

NONLINEAR STABILITY OF COMPOSITE LAMINATES WITH EDGES ELASTICALLY RESTRAINED

The nonlinear governing equations of composite laminated plates with edges elastically supported against rotation subjected to in plane loading were established by means of energy variational principle and nonlinear geometric equations.The governing equations were solved by using generalized Fourier double series method and the corresponding load deflection curves were obtained. The results of calculation show that unsymmetric laminates under loads in plane produce transverse deflection generally,but in some special cases the bifurcation buckling may also take place.It is relevant to the stacking sequence,boundary conditions and loading conditions of the laminated plates.