https://doi.org/10.1140/epjs/s11734-024-01195-2
Regular Article
Suppressing random response of structure via inertial nonlinear energy sink
1
Huaqiao University, 361021, Xiamen, China
2
Key Laboratory for Intelligent Infrastructure and Monitoring of Fujian Province, 361021, Xiamen, China
Received:
19
March
2024
Accepted:
4
June
2024
Published online:
13
June
2024
Stochastic excitations inevitably pose a significant threat to the safety and reliability of structures, making it imperative to develop stochastic vibration control techniques. This paper utilizes the mass amplification property of inerter to construct inertial nonlinear energy sink (INES) to suppress the random response of a spring-mass-damper structure under random excitation. Specifically, the governing equations of a main oscillator coupled with INES forced by a stochastic excitation are derived. After that, the equivalent form of system equations is treated by the stochastic averaging technique together with the Jacobi transformation to obtain the steady-state probability density function (PDF), leading to determination of stochastic response as well as parameters optimization. The effects of parameters including inertance ratio and intensity of the external excitation on the random response of main structure are examined. This paper illustrates that INES exhibits both superior random vibration control capability and lightweight design characteristic. Besides, excellent consistency is found between the results of the present approach and the available simulation data. Note that this work presented herein will promote the design and application of INES.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
