Optimal Design and Sensitivity Analysis of the Dynamic Vibration Absorber With Amplifying Mechanism

被引：0

作者：

Liu Y. ^{[1
]}

Cai J. ^{[1
]}

Li H. ^{[2
]}

Gao Q. ^{[1
]}

机构：

[1] School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen

[2] School of Automation, Beijing University of Posts and Telecommunications, Beijing

来源：

Journal of Computing and Information Science in Engineering | 2023年 / 23卷 / 05期

基金：

中国国家自然科学基金;

关键词：

amplifying mechanism; computational foundations for engineering optimization; dynamic vibration absorber; optimization; resultant theory;

D O I：

10.1115/1.4056920

中图分类号：

学科分类号：

摘要：

This work optimizes a dynamic vibration absorber (DVA) model equipped with an additional amplifying mechanism using the H∞ optimization criterion, which aims to minimize the maximum frequency response amplitude of the primary structure. This optimization problem is widely investigated using the fixed-point method, which, however, works only when the primary structure is undamped and gives approximate solutions at best. Instead, we seek the exact solutions, and a resultant-based optimization scheme is accordingly proposed, which allows handling purely univariate polynomial equations in the solving procedure to guarantee the convergence and global optimum conditions. Consequently, exactly numerical and closed-form optimal DVA parameters are obtained when the primary structure is damped and undamped, respectively. Furthermore, we are also interested in the effect of the amplifying mechanism on vibration suppression, showing that it functions as a convenient equivalent mass ratio regulator to benefit the DVA performance. Finally, the presented sensitivity analysis reveals the effect of the small variations of the DVA stiffness and damping on the vibration suppression performance and the role of the amplifying mechanism in balancing such two components’ uncertainties. This work generalizes the existing exact H∞ optimization methods and provides a guideline for the enhanced DVA design using the amplifying mechanism. Copyright © 2023 by ASME.

引用

共 38 条

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