脐带缆截面填充构件拓扑优化轻量化设计

Topology optimization and lightweight design of filling bodies in the cross-section of umbilical cables

为了实现填充构件的轻质减重,同时保证填充减重后脐带缆具有足够的刚度与强度,本文选取4种典型截面形状的填充构件进行拓扑优化设计。基于传统密实填充空间定义设计变量,以柔度最小化为优化目标,在强度约束的条件下构建优化模型。同时,建立不同填充形式的脐带缆截面数值模型,以脐带缆的截面径向变形、关键构件应力和构件间接触压力作为评价指标,通过有限元分析对拓扑优化结果进行验证。结果表明:对于案例所选脐带缆,优化后的填充构件在满足脐带缆上述力学性能的前提下总质量减轻14%,为脐带缆结构工程设计提供了有益的参考。

To realize the lightweight design of filling bodies while ensuring that the umbilical cable has sufficient stiffness and strength after the weight of filling bodies is reduced,the topology optimization design is accomplished for four filling bodies with typical cross-sectional shapes.Taking the traditional full filling space as the design variable and minimizing the compliance of the structure as the optimization objective,an optimization model was proposed under the condition of strength constraints.Meanwhile,numerical models of the cross-sections of umbilical cables with different filling forms were constructed.The cross-sectional mechanical properties of these models,such as radial deformation,the stress of the key components,and contact pressure among the components,were selected as evaluation indicators for lightweight design.The topology optimization results were verified by finite element analysis.The results show that for the umbilical cable selected in this case,the total mass of the optimized filling bodies was reduced by 14%under the premise of satisfying the mechanical properties of the umbilical cables.This study provides a useful reference for the structural engineering design of umbilical cables.