Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (10): 1485-1502.doi: https://doi.org/10.1007/s10483-022-2905-6

• 论文 • 上一篇    下一篇

Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs

Xiangying GUO1, Yunan ZHU1, Yegao QU2, Dongxing CAO1   

  1. 1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;
    2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
  • 收稿日期:2022-03-01 修回日期:2022-07-12 发布日期:2022-10-25
  • 通讯作者: Dongxing CAO, E-mail: caostar@bjut.edu.cn
  • 基金资助:
    the National Natural Science Foundation of China (Nos. 11772010 and 11832002) and the State Key Laboratory of Mechanical System and Vibration of China (No. MSV202004)

Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs

Xiangying GUO1, Yunan ZHU1, Yegao QU2, Dongxing CAO1   

  1. 1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;
    2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2022-03-01 Revised:2022-07-12 Published:2022-10-25
  • Contact: Dongxing CAO, E-mail: caostar@bjut.edu.cn
  • Supported by:
    the National Natural Science Foundation of China (Nos. 11772010 and 11832002) and the State Key Laboratory of Mechanical System and Vibration of China (No. MSV202004)

摘要: An adaptive dynamic vibration absorber (ADVA) is designed for low-frequency vibration suppression. The leaf springs are applied as the tuning stiffness elements. The principle of variable stiffness is analyzed to obtain the effective range of the first natural frequency variation. A classic simply supported manipulator is selected as the controlled system. The coupled dynamic model of the manipulator-ADVA system is built to obtain the maximum damping efficiency and the vibration absorption capacity of the designed ADVA. An experimental platform is set up to verify the theoretical results. It is revealed that the ADVA can adjust the first natural frequency on a large scale by changing the curvature of the leaf springs. The amplitude of the manipulator is reduced obviously with the installation of the designed ADVA. Finally, based on the short-time Fourier transformation (STFT), a stepwise optimization algorithm is proposed to achieve a quick tuning of the natural frequency of the ADVA so that it can always coincide with the frequency of the prime structure. Through the above steps, the intelligent frequency tuning of the ADVA is realized with high vibration absorption performance in a wide frequency range.

关键词: stiffness tuning, adaptive dynamic vibration absorber (ADVA), leaf spring, vibration control

Abstract: An adaptive dynamic vibration absorber (ADVA) is designed for low-frequency vibration suppression. The leaf springs are applied as the tuning stiffness elements. The principle of variable stiffness is analyzed to obtain the effective range of the first natural frequency variation. A classic simply supported manipulator is selected as the controlled system. The coupled dynamic model of the manipulator-ADVA system is built to obtain the maximum damping efficiency and the vibration absorption capacity of the designed ADVA. An experimental platform is set up to verify the theoretical results. It is revealed that the ADVA can adjust the first natural frequency on a large scale by changing the curvature of the leaf springs. The amplitude of the manipulator is reduced obviously with the installation of the designed ADVA. Finally, based on the short-time Fourier transformation (STFT), a stepwise optimization algorithm is proposed to achieve a quick tuning of the natural frequency of the ADVA so that it can always coincide with the frequency of the prime structure. Through the above steps, the intelligent frequency tuning of the ADVA is realized with high vibration absorption performance in a wide frequency range.

Key words: stiffness tuning, adaptive dynamic vibration absorber (ADVA), leaf spring, vibration control

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