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首页> 外文期刊>Applied Mathematical Modelling >Buckling optimization of composite rectangular plates by sequential permutation search with bending-twisting correction
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Buckling optimization of composite rectangular plates by sequential permutation search with bending-twisting correction

机译：弯曲扭转校正顺序置换搜索复合矩形板屈曲优化

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摘要

Buckling problem of composite plates is of importance since it is commonly encountered in thin-walled structural components in engineering. Buckling resistance design of composite plates involves the design of laminate stacking sequence exhibiting high dimensional discrete variables owing to the combination and permutation of ply orientations of layers. In this work, a sequential permutation search (SPS) optimization algorithm is presented for the stacking sequence design of composite rectangular plates accounting for the inherent physical-mechanical behavior of composite laminates. Owing to that the governing equation for buckling of composite rectangular plates is a linear homogeneous equation on bending stiffness parameters, the convexity of flexural lamination parameters and sensitivity of bending stiffness are utilized to construct sensitive detection techniques and linear search procedures. Moreover, to increase the robustness of SPS, a sign optimization algorithm (SOA) is coupled in SPS to regulate bending-twisting coupling effects. The SPS algorithm is applied to the buckling resistance design of composite rectangular plates exhibiting various boundaries under axial compression, where the Rayleigh-Ritz method is developed to perform the buckling analysis. Optimal results of SPS are compared against layerwise optimization approach (LOA) and genetic algorithm (GA), illustrating its reliability and efficiency.
机译：复合板的屈曲问题具有重要性，因为它通常遇到工程中的薄壁结构部件。复合板的屈曲电阻设计涉及层压堆叠序列的设计，由于层的层方向的组合和排列而呈现高尺寸离散变量。在这项工作中，提出了一种顺序置换搜索（SPS）优化算法，用于复合矩形板的堆叠序列设计，占复合层压板的固有物理力学行为。由于复合矩形板屈曲的控制方程是弯曲刚度参数的线性均匀方程，利用弯曲层压参数的凸起和弯曲刚度的灵敏度来构建敏感的检测技术和线性搜索程序。此外，为了增加SPS的稳健性，符号优化算法（SOA）耦合在SPS中以调节弯曲扭转耦合效果。 SPS算法应用于轴向压缩下表现出各种边界的复合矩形板的屈曲电阻设计，其中开发了瑞利-RITZ方法以进行屈曲分析。比较SPS的最佳结果与层状优化方法（LOA）和遗传算法（GA）进行比较，说明其可靠性和效率。

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