article · Journal of Vibration and Control
This research analyses and optimises inerter-based vibration isolation systems, focusing on series and series-parallel configurations consisting of an inerter, a spring, and a viscous damper. Optimal parameters are established to minimise compliance and mobility transfer functions for a single-degree-of-freedom system exposed to harmonic and random ground acceleration excitations. Compared to conventional dynamic vibration absorbers, both inerter configurations achieve superior peak response suppression. Under harmonic excitation, the series-parallel system achieves more than 40 percent and 45 percent reductions in compliance and mobility transfer functions, respectively, while the series setup delivers 15 percent and 11 percent improvements. Under random white noise excitation, both inerter systems continue to outperform traditional absorbers by over 13 to 26 percent. Additionally, optimal parameters derived by minimising mobility are consistently lower than those calculated from compliance across varying mass ratios.
Vibrations caused by ground movement can compromise structural integrity and operational stability. By systematically comparing different inerter configurations against standard dynamic vibration absorbers under harmonic and random loads, this work demonstrates that inerter systems offer significantly greater suppression of motion. This provides engineers with clearer guidance for selecting optimal damper parameters to protect structures and mechanical systems from dynamic excitation.
This is early-stage analytical research that establishes design formulas and optimal parameters for inerter-based vibration isolators. While the findings provide a theoretical basis for structural engineers designing vibration suppression systems, the abstract does not report physical prototyping, experimental testing, or direct industry deployment. Practical adoption by engineering practitioners remains at an early stage pending experimental verification and implementation in physical systems.
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This study is concerned with the problem of analysis and optimization of inerter-based systems. A main inerter system is generally composed of an inerter, a spring, and viscous damper. Series – parallel inerter system s and series inerter system s are two commonly used configurations of inerter-based system s . First , in this study , the H ∞ optimum parameters of inerter-based isolators are derived to minimize the compliance and mobility transfer function of a single-degree -of-freedom system under a harmonic ground acceleration excitation. Under the optimum tuning condition, it is shown that the proposed inerter-based isolators when compared with the traditional dynamic vibration absorber provide larger suppression of the peak value of the magnitude of compliance and mobility transfer function s of the primary system. For the studied cases, more than 40% and 45% improvement can be attained in terms of minimizing the compliance and mobility transfer function s , respectively, as compared with the traditional dynamic vibration absorber for the series – parallel inerter system and 15% and 11% improvement can be attained respectively , for the series inerter system . Finally, further comparison between the inerter-based isolators and traditional dynamic vibration absorber under white noise excitation also shows that the series – parallel inerter system and series inerter system s are superior to the traditional dynamic vibration absorber . The results of the studied systems show that m ore than 23% and 16% improvement are attained in terms of minimizing the compliance and mobility transfer function s respectively , as compared with the traditional dynamic vibration absorber for the series – parallel inerter system and 26% and 13% improvement can be attained respectively , for the series inerter system . The optimal parameters for different cases are obtained. It is shown that the optimal parameters obtained using the minimized mobility transfer function are smaller than those using the compliance transfer function at all mass ratios or inertance-to-mass ratio. The results of this study can provide theoretical basis for design of the optimal inerter-based isolators in engineering practice.
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DOI: 10.1177/1077546320940175
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