Abstract Efficient modeling and optimization techniques are required to overcome the high design complexity and computational costs concerning the engineering of composite structures. In this paper, a modeling framework for the dynamic analysis of doubly curved composite panels is developed. Lamination parameters are used to characterize the stiffness properties of the laminate, and the responses are calculated through the two-dimensional spectral-Tchebychev method. The proposed framework combines the computational efficiency advantages of both lamination parameters formulation and spectral-Tchebychev method which is extended for dynamic analysis of curved composite laminates. Compared to the finite element method, the developed model significantly decreases the computation duration, thereby leading to analysis speed-ups up to 40 folds. In the case studies, fundamental frequency contours for the doubly curved composite panels are obtained in lamination parameters space for the first time. The results show that, unlike flat or singly curved laminates, the maximum frequency design points for doubly curved panels can be inside the feasible region of lamination parameters requiring multiple layer angles. The fundamental mode shapes for the maximum frequency designs are also computed to investigate the influence of panel curvatures on the vibration patterns, which can exhibit mode switching phenomenon.

中文翻译：

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使用层压参数和光谱-Tchebychev 方法的双曲面复合板动态分析

摘要 需要有效的建模和优化技术来克服复合结构工程的高设计复杂性和计算成本。在本文中，开发了双曲面复合板动态分析的建模框架。层压参数用于表征层压板的刚度特性，并且通过二维谱-Tchebychev 方法计算响应。所提出的框架结合了层压参数公式和光谱-Tchebychev 方法的计算效率优势，该方法扩展到弯曲复合层压板的动态分析。与有限元方法相比，开发的模型显着减少了计算时间，从而使分析速度提高了 40 倍。在案例研究中，首次在层压参数空间中获得了双曲面复合板的基频轮廓。结果表明，与平面或单曲面层压板不同，双曲面面板的最大频率设计点可以在需要多层角度的层压参数的可行区域内。还计算了最大频率设计的基本模式形状，以研究面板曲率对振动模式的影响，振动模式可能会出现模式切换现象。双曲面面板的最大频率设计点可以在需要多层角度的层压参数的可行区域内。还计算了最大频率设计的基本模式形状，以研究面板曲率对振动模式的影响，振动模式可能会出现模式切换现象。双曲面面板的最大频率设计点可以在需要多层角度的层压参数的可行区域内。还计算了最大频率设计的基本模式形状，以研究面板曲率对振动模式的影响，振动模式可能会出现模式切换现象。