Suppressing Random Response of Regular Structure by Inerter-based Dynamic Vibration Absorber

[+] Author and Article Information
Xiao-ling Jin

38 Zheda Road Hangzhou, 310027 China xiaolingjin@zju.edu.cn

Michael Z. Q. Chen

School of Automation, Nanjing University of Science and Technology Nanjing, 210094 China mzqchen@outlook.com

Z. L. Huang

Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China 38# Zheda Road Hangzhou, 310027 China zlhuang@zju.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received January 16, 2018; final manuscript received February 12, 2019; published online xx xx, xxxx. Assoc. Editor: Mohammed Daqaq.

ASME doi:10.1115/1.4042934 History: Received January 16, 2018; Accepted February 14, 2019


This paper concentrates on the random vibration suppression of regular straight beam by using an inerter-based dynamic vibration absorber. For a wideband random point-driven straight beam with an inerter-based dynamic vibration absorber, the distribution of mean-square velocity response along the axis of the straight beam as well as the mean kinetic energy of the whole beam are first analytically derived through the classical linear random vibration theory. Two optimization objectives are established to determine the optimal design parameters, which are, 1) minimizing the maximal mean-square velocity along the axis of the straight beam, which corresponds to the maximal mean kinetic energy density along the axis; 2) minimizing the mean kinetic energy of the whole beam. Numerical search gives the optimal location and the associated optimal parameters of the inerter-based dynamic vibration absorber. Numerical results for a simply-supported straight beam illustrate the better performance of an inerter-based dynamic vibration absorber than a traditional dynamic vibration absorber. Parametric sensitivity studies for the robustness analysis of the beam response to derivations from the optimal parameters are conducted. The optimal location locates on the force-excited point, while the sub-optimal location on its symmetry position. Furthermore, the optimal and sub-optimal locations remain invariable regardless of the upper cut-off frequency of band-limited noise, which is fairly important to the location optimization of inerter-based dynamic vibration absorber.

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