极大化模态损失因子的板上局部约束层阻尼处理拓扑优化

Ronggeng Chen, Haitao Luo, Hongguang Wang, Weijia Zhou
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引用次数: 2

摘要

约束层阻尼处理被广泛用于抑制薄壁结构的振动和噪声。但是,约束阻尼层的全覆盖会增加不必要的附加质量,造成材料浪费,不能有效提高复合材料结构的阻尼性能。本文提出了一种拓扑优化方法来实现约束阻尼层的最优分布。设计目标是在体积约束下用模态应变能法求解的模态损失因子最大化。以约束阻尼层有限元的相对密度为设计变量,采用惩罚法的固体各向同性材料实现了阻尼材料在金属基板表面的最优拓扑分布。然后采用移动渐近线法作为优化器搜索约束阻尼层的最优布局。基于改进的模态叠加法,得到了目标函数相对于设计变量的灵敏度。通过数值算例和实验验证了该方法的有效性和有效性。结果表明,目标函数平滑收敛到最优值,优化后的模态损失因子得到显著改善。优化后的约束阻尼层布局清晰合理,其分布受阻尼层和约束层的共同影响。优化后的约束阻尼层各部分都能大大提高结构的阻尼性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Topology optimization of partial constrained layer damping treatment on plate for maximizing modal loss factors
Constrained layer damping treatment is widely used to suppress the vibration and noise of thin-walled structures. However, full coverage of constrained damping layer will increase unnecessary additional mass, resulting in material waste and cannot effectively improve the damping performance of the composite structure. In this article, a topology optimization approach is proposed to realize the optimal distribution of constrained damping layer. The design objective is to maximize modal loss factors solved by the modal strain energy method under the constraint of volume. Taking the relative density of the finite element of the constrained damping layer as design variable, the solid isotropic material with penalization method is used to realize the optimal topological distribution of the damping material on the surface of the metal substrate. Then the moving asymptote method is adopted as an optimizer to search the optimal layout of the constrained damping layer. Based on a modified modal superposition method, the sensitivities of the objective function with respect to the design variables are obtained. Numerical examples and experiments are presented for illustrating the validity and efficiency of this approach. The results show that the objective function converges to the optimal value smoothly, and the optimized modal loss factors have been significantly improved. The layouts of the constrained damping layer after optimization are clear and reasonable, and its distributions are affected by both the damping layer and the constraining layer. Each part of the constrained damping layer after optimizing can greatly improve the damping performance of the structure.
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