粘弹性阻尼隔振系统动力分析与优化设计

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (1) : 238-242.

论文

粘弹性阻尼隔振系统动力分析与优化设计

盖盼盼,徐赵东,吕令毅,黄兴淮,戴军

作者信息 +

Dynamic analysis and parametric optimization for vibration isolation systems with viscoelastic damping

GAI Panpan, XU Zhaodong, LU Lingyi, HUANG Xinghuai, DAI Jun

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文章历史 +

摘要

旨在研究具有频率依赖性的粘弹性阻尼隔振系统的动力特性及优化设计。引入分数阶导数开尔文模型建立能够考虑粘弹性阻尼材料频率依赖性的隔振系统数学模型；提出无量纲粘弹性影响系数，基于泰勒级数求解特征方程，得到激励频率影响下的隔振系统自振频率和等效阻尼比；最后，优化弹性单元与粘弹性单元的刚度比，实现隔振系统在宽频带和峰值频率下的较优隔振效果。研究结果表明：相比于具有同等静态刚度的线性隔振系统，粘弹性阻尼隔振系统具有更高的阻尼比，较宽的隔振曲线放大区，相对较高的自振频率；可通过优化弹性单元与粘弹性单元的刚度比获得较优的系统隔振效率，最优数值取决于隔振目标。

Abstract

Dynamic characteristics and parametric optimization of a vibration isolation system with viscoelastic (VE) damping were studied.Firstly, a single-DOF dynamic model for the system was established, and the fractional derivative Kelvin model was introduced to consider the effect of frequency-dependence on dynamic characteristics of the system.Then, the VE influence coefficient was proposed.Based on Taylor series, the system’s characteristic equation was solved to obtain the vibration isolation system’s natural frequency and equivalent damping ratio under the influence of the excitation frequency.At last, the stiffness ratio between the elastic element and the VE one was optimized to realize the optimal vibration isolation effect of the system under wide frequency band and the peak value response frequency.The results showed that compared to a linear vibration isolation system with the same static state stiffness, the vibration isolation system with VE damping has a higher damping ratio, a wider amplification region of vibration isolation curve and a larger natural frequency; the optimal system vibration isolation efficiency is obtained through optimizing the stiffness ratio between the elastic element and the VE one, and the optimal value depends on the vibration isolation target.

导出引用

盖盼盼,徐赵东,吕令毅,黄兴淮,戴军. 粘弹性阻尼隔振系统动力分析与优化设计[J]. 振动与冲击, 2019, 38(1): 238-242

GAI Panpan, XU Zhaodong, LU Lingyi, HUANG Xinghuai, DAI Jun.

Dynamic analysis and parametric optimization for vibration isolation systems with viscoelastic damping

[J]. Journal of Vibration and Shock, 2019, 38(1): 238-242

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