基于模态振型的自由阻尼层厚度分布优化

Optimization of Thickness Distribution of Unconstrained Damping Layer Based on Mode Shapes

阻尼材料的敷设位置和敷设厚度分布对结构减振效果有较大影响,针对阻尼材料敷设厚度分布优化问题,提出了一种基于模态振型的阻尼层敷设厚度分布优化方法。该方法用一组模态振型线性组合来定义阻尼层厚度分布函数,将模态参与因子作为设计变量来优化阻尼层厚度分布。研究了给定阻尼材料下自由阻尼层厚度分布优化问题,数值算例表明,与均匀敷设阻尼相比,阻尼层敷设厚度分布优化后的结构能更有效地抑制结构振动,提高阻尼材料的利用率。

Placement location and thickness distribution of unconstrained damping material affect the amplitude of vibration response of the base structure significantly,aiming at the problem of optimum thickness distribution of unconstrained damping material,a thickness distribution optimization method was presented based on mode shapes.In this method,the thickness distribution function was defined using a linear combination of a group of mode shapes absolute values,and the thickness distribution of unconstrained damping material is optimized by changing the mode shapes contribution factors.Optimization of thickness distribution of unconstrained damping material was studied under constant damping material volume.The numerical example shows that in contrast to uniform distribution of damping material,the optimal thickness distribution of unconstrained damping material controls the structural vibration more effectively and improves the utilization of damping material.