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基于拓扑优化思想,提出一种人工材料假设,建立了阻尼材料铺设的拓扑优化数学模型。在阻尼材料用量一定的情况下实现阻尼材料最优分布,达到减振降噪之目的。采用遗传算法进行求解,进行了阻尼材料和人工材料的转换,实现了阻尼材料的拓扑优化。数值算例表明:所提方法在减振降噪设计中具有可行性和有效性,有较好的工程应用价值,可为阻尼材料的敷设提供一种可行有效的思路。
Based on the idea of topological optimization, a hypothesis of artificial material was proposed and a mathematical model of topological optimization of damping material laying was established. In the case of a certain amount of damping material to achieve the optimal distribution of damping material to achieve the purpose of damping vibration and noise reduction. The genetic algorithm is used to solve the problem. The damping material and the artificial material are converted, and the topological optimization of the damping material is realized. Numerical examples show that the proposed method is feasible and effective in the design of vibration and noise reduction and has good engineering application value, which can provide a feasible and effective method for the damping material laying.