The slender property of shell structures causes the magnitude difference between in-plane and out-of-plane stiffness. Inspired by such a geometry-induced anisotropy phenomenon, this paper proposes a novel design approach to improve the stiffness of complex shell structures. The optimization algorithm is constructed based on two technical pillars, i.e., the explicit moving morphable components (MMC) framework and the computational conformal mapping (CCM) technique. Owing to the MMC framework, the proposed approach can describe complex topography fields with local details via relatively few design variables, theoretically decreasing the computation burden. Towards shell structures in practice, of which the geometry models are usually flexible and complex, we leverage the CCM technique to parameterize the middle surfaces to obtain a unified and robust algorithm architecture. Representative examples with complex geometry models are provided to validate the proposed design method's effectiveness, efficiency, and universality.

中文翻译：

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基于嵌入式样条组件的复杂壳结构显式形貌设计


壳结构的 slender 属性会导致面内刚度和面外刚度之间的大小差。受这种几何诱导的各向异性现象的启发，本文提出了一种新的设计方法来提高复杂壳结构的刚度。该优化算法基于显式移动可变形组件 （MMC） 框架和计算共形映射 （CCM） 技术两大技术支柱构建。由于 MMC 框架，所提出的方法可以通过相对较少的设计变量描述具有局部细节的复杂地形场，理论上减轻了计算负担。对于实际应用中几何模型通常灵活复杂的壳结构，我们利用 CCM 技术对中间表面进行参数化，以获得统一而健壮的算法架构。本文通过实例给出了具有复杂几何模型的代表性实例，验证了所提出的设计方法的有效性、效率和通用性。