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为深入研究初始缺陷对复合材料层板稳定性的影响 ,利用能量变分原理和考虑初始缺陷的非线性几何方程 ,建立了具有弹性约束的层合板在面内载荷作用下的非线性稳定性控制方程组 ,运用广义傅立叶级数法对其进行求解 ,并进一步获得了影响非线性稳定性控制方程组的性质的非齐次项。研究结果表明 ,非对称层合板带初始缺陷时 ,物理耦合和几何耦合既可能得到加强 ,也可能互相削弱 ,甚至在某些情况下耦合作用完全抵消 ,导致非齐次项为零 ,因而会出现屈曲。在此基础上本文提出了临界初始缺陷波形的概念
In order to further study the influence of initial defects on the stability of composite laminates, the nonlinear stability of laminates with elastic constraints under in-plane loading was established by using the energy variational principle and the nonlinear geometric equation considering initial defects The generalized Fourier series method is used to solve the equations, and the nonhomogeneous items that affect the properties of the nonlinear stability control equations are further obtained. The results show that both the physical coupling and the geometric coupling may be strengthened or the mutual weakening may occur when the initial defect of the asymmetric laminar strip is initialized, and even if the coupling completely cancels out in some cases, the nonhomogeneity term will be zero, Buckling. On this basis, this paper presents the concept of critical initial defect waveform