方形晶格夹层板减振性能仿真与优化

Simulation and Optimization of Vibration Reduction Performance of Square Lattice Sandwich Plate

采用显式有限元方法,以传输损耗系数(TLC)为评价指标,研究了以钢为边界、铜和硅橡胶交替填充的方形晶格夹层板的减振性能,分析了方形填充尺寸对结构减振性能的影响。首先建立方形晶格夹层板的有限元仿真模型,其次引入传输损耗系数作为目标函数,运用遗传算法对方形晶格夹层板的减振性能进行优化,针对不同应用场景,得到的优化结果表明方形晶格夹层板具有不同减振范围的可调谐性。最后分析优化后的拓扑结构在不同频率下的位移场,可以看出其仍是在局部共振机理作用下,表现出对低频弹性波的强衰减,为拓宽夹层板的低频减振性能与可制造性提供了新的设计思路。

Utilizing the explicit finite element method and the relative transmission loss coefficient(TLC) as the evaluation index, the vibration reduction performance of the square lattice sandwich plate with steel as the boundary and alternately filled with copper and silicone rubber was studied, and the impact of the square filling size on the structural vibration reduction performance was analyzed. Firstly, the finite element simulation model of the square lattice sandwich plate is established. Secondly, the relative transmission loss coefficient is introduced as the objective function, and the genetic algorithm is used to optimize the vibration reduction performance of the square lattice sandwich plate. For different application scenarios, the obtained optimization results show that the square lattice sandwich plate has tunability with different vibration reduction ranges. Finally, by analyzing the displacement field of the optimized topology at different frequencies, it can be seen that it is still under the action of the local resonance mechanism, showing strong attenuation of low-frequency elastic waves. This provides a new design idea for broadening the low-frequency vibration reduction performance and manufacturability of the sandwich plates.