In this work, we have investigated the nonlinear instability behavior of a thin laminated composite circular plate subjected to a tensile periodic load. A nonlinear system with quadratic and cubic nonlinear terms, referred to the effect of large deflection, is obtained. The method of multiple time scales is used to obtain periodic solutions for the second- and third-order systems, which directly leads to the solvability conditions of the two orders including the nonlinearity terms. Different cases of resonance with the instability criteria are taken into account. For the numerical application, the effect of the tensile periodic load was studied on a plate of graphite fabric-carbon material.

中文翻译：

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受拉周期载荷作用的薄层合复合圆板的非线性失稳

在这项工作中，我们研究了承受拉伸周期性载荷的薄层合复合圆板的非线性失稳行为。获得了具有二次和三次非线性项的非线性系统，涉及大挠度的影响。利用多时间尺度的方法获得二阶和三阶系统的周期解，这直接导致了包括非线性项在内的二阶可解性条件。考虑了不稳定性标准的不同共振情况。对于数值应用，研究了拉伸周期载荷对石墨织物-碳材料板的影响。