基于动力学优化的大跨度板架区域支柱拓扑布局研究

Topological Layout Research of Pillars Under Long-Span Grillage Structure Based on Dynamic Optimization

大跨距结构是舰船的典型结构特征之一。大跨距结构的低刚度特征导致结构位移及振动幅值较大,使减振设计难度较大。该文分析了某舰船在艏侧推激励下大跨度板架区域结构振动。针对大跨度板架下支柱的布局,建立拓扑优化基结构,采用变密度法(SIMP法)建立以结构质量最轻为目标函数,考虑指定位置处振动速度约束的看台支柱布局拓扑优化模型,进行动力学拓扑优化设计。研究表明:采用文中给出的大跨距支柱拓扑布局优化方法可得到1套振动控制性能良好的支柱布置方案,该方法可以减少繁复的设计及动力学计算工作量,得到更好的减振效果。

Long-span structure is one of the typical structure features of ships.Low rigidity of the long-span structure causes large structure displacement and vibration amplitude,imposing difficulties in the vibration reduction design.The vibration of the long-span grillage structure is analyzed for a ship under bow thruster excitation in the current study.Topology optimization base structure is then established for the arrangement of the pillar under the long-span grillage structure.With the objective function of lightest structure weight based on SIMP method,the dynamic topology optimization design is carried out by using the stand pillar arrangement topology optimization model considering the vibration velocities of specified nodes as the constrain.The results show that a pillar arrangement plan with good vibration control performance is obtained by using the long-span pillar topology optimization method in the current study.This method can reduce the complexity of the design and the workload of the dynamic calculation,with a better vibration damping effect.