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Numerical optimisation of a classical stochastic system for targeted energy transfer

Theoretical & Applied Mechanics Letters 2023年第3期13卷 170-176页

作者： Oleg Gaidai Yubin Gu Yihan Xing Junlei Wang Daniil Yurchenko Shanghai Engineering Research Center of Marine Renewable energy Shanghai Ocean UniversityChina School of Mechanical and Electrical Engineering Guilin University of Electronic TechnologyChina Department of Machine Building and Materials TechnologyUniversity of StavangerNorway School of Mechanical and Power Engineering Zhengzhou UniversityChina Institute for Sound and Vibration Research University of SouthamptonUK

The paper studies stochastic dynamics of a two-degree-of-freedom system,where a primary linear system is connected to a nonlinear energy sink with cubic stiffness nonlinearity and viscous *** the primary mass is subjected to a zero-mean Gaussian white noise excitation,the main objective of this study is to maximise the efficiency of the targeted energy transfer in the system.A surrogate optimisation algorithm is proposed for this purpose and adopted for the stochastic *** optimisations are conducted separately for the nonlinear stiffness coefficient alone as well as for both the nonlinear stiffness and damping coefficients *** different optimisation cost functions,based on either energy of the system’s components or the dissipated energy,are *** results demonstrate some clear trends in values of the nonlinear energy sink coefficients and show the effect of different cost functions on the optimal values of the nonlinear system’s coefficients.

关键词： targeted energy transfer Surrogate optimisation Stochastic system Random vibration

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Response regimes of narrow-band stochastic excited linear oscillator coupled to nonlinear energy sink

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Chinese Journal of Aeronautics 2015年第2期28卷 457-468页

作者： Xiong Huai Kong Xianren Yang Zhenguo Liu Yuan Research Center of Satellite Technology Harbin Institute of Technology

This paper draws attention to the issue of the vibration absorption of nonlinear mechani- cal system coupled to nonlinear energy sink （NES） under the impact of the narrow band stochastic excitation. Firstly, based on the complex-averaging method and frequency detuning methodology, response regimes of oscillators have been researched under the linear impact of coupling a nonlinear attachment with less relativistic mass and an external sinusoidal forcing, of which results turn out that the quasi-periodicity response regime of system which occurs when the external excitation amplitude exceeds the critical values will be the precondition of the targeted energy transfer. Secondly, basing on the path integration method, vibration suppression of NES has been researched when it is affected by a main oscillator with a narrow band stochastic force in the form of trigono- metric functions, of which results show that response regimes are affected by the amplitude of stochastic excitation and the disturbance strength. Finally, all these conclusions have been approved by the numerical verification and coincided with the theoretical analysis; meanwhile, after the com- paring analysis with the optimal linear absorber, it turns out that the NES which is affected by the narrow band stochastic force could also suppress the vibration of system with a better effect.

关键词： Nonlinear energy sink Path integration method Stochastic excitation targeted energy transfer Vibration absorption

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Shock response mitigation of a large-scale structure by modal energy redistribution facilitated by a strongly nonlinear absorber

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Acta Mechanica Sinica 2022年第6期38卷 39-54,I0001页

作者： Xiang Li lireza Mojahed Li-Qun Chen Lawence A.Bergman Alexander F.Vakakis Shanghai Institute of Applied Mathematies and Mechanics School of Mechanies and Engineering ScienceShanghai University Shanghai 200444China Aerospace Engineering Universityof llinois UrbanaIL61801USA Mechanical Science and Engineering University of linois Urbana IL 61801USA

A lightweight geometrically nonlinear attachment,the strongly nonlinear absorber(SNA),is adopted to suppress the shock response of a linear,large-scale nine-story *** role of the SNA is not only to dissipate but also to redistribute the shock energy among the modes of the *** this study,single-and two-degree-of-freedom(SDOF and Two-DOF)SNAs are *** quantitative results for shock energy redistribution indicate that with strong geometric nonlinearity,one can achieve low-to-high frequency nonlinear targeted energy transfer in this ***,the percentages of shock energy dissipated by higher structural modes for the cases of locked SNA,SDOF SNA,and Two-DOF SNA are 0.08%,0.43%,and 30.04%,*** results indicate that the Two-DOF SNA is capable of rapidly scattering far more energy to much higher frequencies than the SDOF SNA,thereby more quickly reducing the shock response of the primary *** robustness of the performance of the SNAs is also studied for varying shock intensities,where the Two-DOF SNA is shown to be significantly more robust at scattering shock energy from low to high ***,an effective damping measure is employed to verify and quantify the redistribution of the modal energies in the primary *** potential applications of this new passive shock mitigation method are discussed.

关键词： Strongly nonlinear absorber Shock response mitigation targeted energy transfer Modal energy redistribution Geometric nonlinearity

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