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约束阻尼是板梁减振降噪的重要手段之一,敷设支撑层的约束阻尼结构能够获得更好的减振效果。基于有限元方法建立简支约束阻尼梁模型,以阻尼段段数、长度、段间间隙、支撑层厚度作为设计变量,梁结构的前4阶模态损耗因子乘以权值的和为目标函数,应用序列二次规划法对整个结构进行优化。在不同质量的约束条件下,分析比较了选取不同权值时约束层连续与间断情况下梁中点的振幅变化和损耗因子的变化。实例结果表明:优化设计能够保证在引入质量较小的情况下,达到更好的减振效果。
Constrained damping is one of the important means of plate vibration and noise reduction. The constrained damping structure of the support layer can obtain better damping effect. Based on the finite element method, a simply supported constrained beam model is established. Taking the number of damping sections, the length, the clearance between segments and the thickness of support layer as design variables, the sum of the first four modes modal loss factor of the beam structure multiplied by the weight as the objective function, The quadratic programming method is applied to optimize the whole structure. Under different mass constraints, the changes of amplitude and dissipation factor of the mid-point of the beam under continuous and intermittent constraints with different weights are analyzed and compared. The results of the example show that the optimized design can ensure a better vibration damping effect when the quality is introduced.