<p>In aerospace, automotive, and civil engineering, mechanical systems are often subjected to multi-band excitation under different circumstances, making vibration control essential for ensuring safety and optimizing performance. These fields contain numerous weakly nonlinear systems, further complicating vibration analysis and control strategies. A novel semi-active vibration control strategy is proposed by integrating dry friction and piezoelectric materials within the framework of modal control theory. Firstly, the optimal control force for a specific frequency band in the frictional system is derived using complex nonlinear mode theory under the single dominant mode assumption. Then, active control of the frictional structure under multi-band frequency excitations is achieved through piezoelectric materials by designing electric circuits and tuning electrical parameters. Finally, the effectiveness of the proposed strategy is validated on various structures, demonstrating significant reductions in vibration amplitude and energy by adapting the optimal control force to the excitation frequency. The proposed method offers a robust and efficient solution for controlling complex systems under broadband frequency vibrations.</p>

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Modal-based hybrid vibration control using friction and piezoelectric actuation for broadband frequency suppression

  • Wenchang Yang,
  • Donglai Yang,
  • Zhe Li,
  • Louis Jézéquel,
  • Xingrong Huang

摘要

In aerospace, automotive, and civil engineering, mechanical systems are often subjected to multi-band excitation under different circumstances, making vibration control essential for ensuring safety and optimizing performance. These fields contain numerous weakly nonlinear systems, further complicating vibration analysis and control strategies. A novel semi-active vibration control strategy is proposed by integrating dry friction and piezoelectric materials within the framework of modal control theory. Firstly, the optimal control force for a specific frequency band in the frictional system is derived using complex nonlinear mode theory under the single dominant mode assumption. Then, active control of the frictional structure under multi-band frequency excitations is achieved through piezoelectric materials by designing electric circuits and tuning electrical parameters. Finally, the effectiveness of the proposed strategy is validated on various structures, demonstrating significant reductions in vibration amplitude and energy by adapting the optimal control force to the excitation frequency. The proposed method offers a robust and efficient solution for controlling complex systems under broadband frequency vibrations.