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Random vibration of hysteretic systems under Poisson white noise excitations

Applied Mathematics and Mechanics(English Edition) 2023年第2期44卷 207-220页

作者： Lincong CHEN Zi YUAN Jiamin QIAN J.Q.SUN College of Civil Engineering Huaqiao UniversityXiamen 361021Fujian ProvinceChina Key Laboratory for Intelligent Infrastructure and Monitoring of Fujian Province Xiamen 361021Fujian ProvinceChina Department of Mechanical Engineering School of EngineeringUniversity of CaliforniaMercedCA 95343U.S.A.

Hysteresis widely exists in civil structures,and dissipates the mechanical energy of *** on the random vibration of hysteretic systems,however,is still insufficient,particularly when the excitation is *** this paper,the radial basis function(RBF)neural network(RBF-NN)method is adopted as a numerical method to investigate the random vibration of the Bouc-Wen hysteretic system under the Poisson white noise *** solution to the reduced generalized Fokker-PlanckKolmogorov(GFPK)equation is expressed in terms of the RBF-NNs with the gaussian activation functions,whose weights are determined by minimizing the loss function of the reduced GFPK equation residual and constraint associated with the normalization condition.A steel fiber reinforced ceramsite concrete(SFRCC)column loaded by the Poisson white noise is studied as an example to illustrate the solution *** effects of several important parameters of both the system and the excitation on the stochastic response are evaluated,and the obtained results are compared with those obtained by the Monte Carlo simulations(MCSs).The numerical results show that the RBF-NN method can accurately predict the stationary response with a considerable high computational efficiency.

关键词： random vibration Bouc-Wen hysteresis system non-gaussian excitation Poisson white noise excitation radial basis function(RBF)neural network(RBF-NN)

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Noise color influence on escape times in nonlinear oscillators-experimental and numerical results

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Theoretical & Applied Mechanics Letters 2023年第2期13卷 149-158页

作者： Thomas Breunung Balakumar Balachandran Department of Mechanical Engineering University of MarylandCollege ParkMD 20742United States

The interplay between noise and nonlinearites can lead to escape *** nonlinear phe-nomena have been observed in various applications ranging from climatology to biology and *** reasons of computational ease,in most studies,gaussian white noise is ***,this noise model is not physical due to the associated infinite energy ***,the authors present extensive experimental investigations and numerical simulations conducted to examine the impact of noise color on escape times in nonlinear *** a careful parameterization of the numerical simulations,the authors are able to make quantitative comparisons with experimental *** the experi-ments and simulations,it is illustrated that the noise color can drastically influence escape times and escape probability.

关键词： Colored noise non-gaussian excitation Experiments Escape times

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