Collaborative Parameter Optimization, Structural Design, and Experimental Verification of Combined Dynamic Vibration Absorbers

doi:10.3901/JME.260620

Abstract

Abstract: A design methodology for combined dynamic vibration absorbers capable of achieving multi-directional and multi-modal collaborative vibration suppression for the primary vibrating structure is proposed. Taking a low-stiffness cantilevered structure as an example, a feedback force model of the primary structure and the dynamic vibration absorbers is established, and frequency response characteristics are predicted based on the receptance coupling synthesis analysis method. An extended H_∞ optimization criterion is proposed to achieve collaborative multi-directional and multi-modal optimization. This enables the parameter optimization of combined dynamic vibration absorbers considering mass distribution and the influence of background modes. Based on parameter optimization results, the absorber structure size design is realized through exact constraint theory and the flexibility matrix method, with validation through finite element analysis. Finally, experiments are conducted to evaluate the characteristics of the dynamic vibration absorbers and the performance of the combined dynamic vibration absorbers in suppressing the primary structure’s vibration. The results show that, taking the suppression of the first three modes of the cantilevered structure as an example, the dynamic vibration absorbers can be tuned to optimal frequencies of 102.2 Hz, 218.3 Hz, and 484.4 Hz respectively. In modal tests, the peak values of the driving-point frequency response functions decrease by 30.86 dB, 26.60 dB, and 20.04 dB for each mode, with an average reduction of 22.41% compared to the classical H_∞criterion.

Key words: low-stiffness structure, dynamic vibration absorber, parameter optimization, flexibility matrix method, modal testing

CLC Number:

TH113

ZHANG Jinfeng, YANG Yiqing, MA Wenshuo, LI Longpeng, LI Dongze, ZHANG Rundong. Collaborative Parameter Optimization, Structural Design, and Experimental Verification of Combined Dynamic Vibration Absorbers[J]. Journal of Mechanical Engineering, 2026, 62(15): 566-577.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260620

http://www.cjmenet.com.cn/EN/Y2026/V62/I15/566

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