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Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters

机译：使用层压参数设计具有最大基频的可变刚度复合板

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This paper considers maximisation of the natural frequency of composite panels. The use of composite materials allows greater freedom in tailoring the response of the panels. The tailoring potential of composite panels is further expanded by introducing the concept of variable stiffness laminates. Variable stiffness implies that fibre paths are not necessarily straight but can be continuously curved. In this fashion, the stiffness properties at every point of the panel can be varied independently leading to optimal tailoring of the composite panel to design requirements. In this paper, the variation of the stiffness properties is parameterised using lamination parameters, and the fundamental frequency is predicted based on classical lamination theory. A new structural approximation scheme is introduced which is referred to as the generalised reciprocal approximation. The optimality conditions for the problem are formulated based on this generalised reciprocal approximation. Results indicate that significant increase can be achieved of the optimal fundamental natural frequency of variable stiffness panels as compared with panels of constant stiffness.
机译：本文考虑了复合板固有频率的最大化。复合材料的使用在定制面板的响应方面具有更大的自由度。通过引入可变刚度层压板的概念，进一步扩大了复合板的定制潜力。可变的刚度意味着纤维路径不一定是直的，而是可以连续弯曲的。以这种方式，可以在面板的每个点独立地改变刚度特性，从而使复合面板最佳地适应设计要求。在本文中，使用层压参数对刚度特性的变化进行参数化，并基于经典层压理论预测基频。引入了一种新的结构近似方案，称为广义倒数近似。基于该广义的倒数逼近，制定了该问题的最优条件。结果表明，与恒定刚度的面板相比，可变刚度面板的最佳基本固有频率可以实现显着增加。

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