基于边界条件等效的载荷传递结构动力学拓扑优化

Dynamic topological optimization of load transfer structures based on equivalent boundary conditions

  • 摘要: 随着航空航天事业的不断发展,飞行器的载荷传递结构也愈来愈复杂。在实际工程中,如何将载荷通过合理的方式进行分配,对于航天器的轻量化设计以及结构承载性的保证具有重要的意义,并且在动载荷传递结构设计的过程中还需要考虑到整体结构对局部结构的非理想边界条件。基于此,本文提出了一种基于结构边界条件等效的动载荷传递结构动力学拓扑优化设计方法,可在设计载荷传递结构的同时充分考虑整体结构对局部结构的影响。该方法首先将局部结构与整体结构之间的连接边界简化为弹簧单元与集中质量单元,通过遗传算法对单元参数进行优化从而实现边界条件等效,最后结合结构动柔度设计目标建立基于单元密度变量的载荷传递结构拓扑优化模型。数值算例验证了新方法的有效性并得到了优化设计结果随体积分数、外载荷频率以及载荷约束区间变化的规律。

     

    Abstract: With the continuous development of aerospace industry, the load transfer structure of spacecraft is getting more and more complicated. In practical engineering, how to distribute the loads in a reasonable way is of great significance for the lightweight design of spacecraft and the guarantee of structural load carrying capacity, and it is also necessary to take into account the non-ideal boundary conditions of the overall structure to the local structure in the process of dynamic load transfer structure design. Based on this, this paper proposes a dynamic topology optimization design method for dynamic load transfer structure based on structural boundary condition equivalence, which can fully consider the influence of the overall structure on the local structure while designing the load transfer structure. The method firstly simplifies the connection boundary between the local structure and the overall structure into a spring unit and a centralized mass unit, optimizes the unit parameters through genetic algorithm to achieve the equivalence of boundary conditions, and finally establishes a topology optimization model of the load transfer structure based on the unit density variable in conjunction with the design objective of the dynamic compliance of the structure. Numerical examples verify the effectiveness of the new method and obtain the optimization design results with the variation of volume fraction, external load frequency and load constraint interval.

     

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