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A Critical Review on Inertially-Amplified Passive Vibration Control Devices

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Abstract

Resonators, inertial amplifiers, negative stiffness devices, and impacting oscillators are added to the core materials of conventional passive vibration isolation systems to address their shortcomings. In order to manage the vibration of dynamic systems with a single or multiple degrees of freedom, unique linear and nonlinear passive vibration isolation systems are introduced in this study. In order to construct the governing equations of motion for the controlled dynamic systems, Newton’s second law and Lagrange’s equation are both utilised. The statistical linearization approach is used to linearize each nonlinear component of the governing equations of motion of the controlled structures. To get the precise closed-form equations for the ideal design parameters of each innovative passive vibration isolation system, \(H_2\) and \(H_\infty\) optimisation methods are used. By using these ideal design criteria, the best innovative passive vibration isolation systems with reliable vibration reduction capability have been produced. The transfer function generation and harmonic balance methods are used to determine the dynamic responses of the controlled structures subjected to harmonic, random-white noise excitations analytically. These dynamic responses are used to determine each unique vibration control device’s frequency domain dynamic response reduction capabilities. A numerical analysis is also conducted to further establish the dynamic reaction capabilities, such as displacement and acceleration reduction capacities in the time domain while taking the Newmark-Beta approach into consideration. The near-field (i.e., pulse and without pulse records) earthquake records are used as the basis excitations in this numerical analysis. Overall, a critical review of passive vibration control devices is presented in this paper to demonstrate their recent advances.

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All data, models, and code generated or used during the study appear in the submitted article.

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Acknowledgements

The authors’ would like to acknowledge the Inspire faculty Grant, Grant number DST/ INSPIRE/04/2018/000052 for partial financial support for the project. SC would like to acknowledge the MHRD grant received from IIT Delhi during the period of this research work.

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  1. Civil Engineering Department, Indian Institute of Technology Delhi, New Delhi, India

    Sudip Chowdhury & Arnab Banerjee

  2. James Watt School of Engineering, The University of Glasgow, Glasgow, Scotland, UK

    Sondipon Adhikari

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  1. Sudip Chowdhury
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Chowdhury, S., Banerjee, A. & Adhikari, S. A Critical Review on Inertially-Amplified Passive Vibration Control Devices. Arch Computat Methods Eng 31, 2139–2175 (2024). https://doi.org/10.1007/s11831-023-10040-z

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