Topology Optimization Design of Filling Bodies in an Umbilical Based on Moving Morphable Components Theory

Lifu Wang, Zhixun Yang, Jun Yan, D. Shi, Yandong Mao, Pengcheng Zhu
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Abstract

Umbilical is an indispensable link of offshore oil & gas resource development equipment for underwater production system, which are mainly composed of functional components such as steel tubes, electric cables and optical cables are in a helically wound structure. Filling bodies are required to support these functional components for improving anti-crushing capacity and fatigue life. Filling bodies have a significant impact on the mechanical and physical properties, which triggers the optimization design of filling bodies. However, the complexity of filling body space brings challenge to the optimization design. Moving Morphable Components (MMC) theory is introduced to topological optimization method in complicated filling body space with the objective of mechanical properties. The results show that the optimized filling bodies can effectively reduce structural weight with the same mechanical properties. Numerical models of cross-sections of umbilicals with the optimized filling bodies are constructed, the cross-sectional mechanical properties are compared with that under the initial filling body form, which can fully verify the feasibility and correctness of this optimization design strategy.
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基于运动变形分量理论的脐带充填体拓扑优化设计
脐带缆是水下生产系统中海上油气资源开发设备不可或缺的环节,主要由钢管、电缆、光缆等功能部件呈螺旋缠绕结构构成。填充体需要支撑这些功能部件,以提高抗破碎能力和疲劳寿命。充填体对充填体的力学和物理性能有重要影响,这就引发了充填体的优化设计。然而,填充体空间的复杂性给优化设计带来了挑战。以力学性能为目标,将运动变形分量(MMC)理论引入复杂填充体空间的拓扑优化方法。结果表明:优化后的充填体能在相同力学性能的情况下有效减轻结构重量。建立了优化充填体下脐带缆截面的数值模型,并与初始充填体形式下的脐带缆截面力学性能进行了比较,充分验证了优化设计策略的可行性和正确性。
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