Publication de 6 numéros par an
ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352
Indexed in
NONLINEAR SYSTEM RESPONSE EVOLUTIONARY POWER SPECTRAL DENSITY DETERMINATION VIA A HARMONIC WAVELETS BASED GALERKIN TECHNIQUE
RÉSUMÉ
A generalized harmonic wavelets (GHWs-) based statistical linearization technique is developed for determining the response evolutionary power spectral density (PSD) of nonlinear time-varying oscillators. Specifically, a recently derived GHWs-based input-output relationship for linear systems is utilized that circumvents the assumption/restriction of local stationarity inherent in earlier treatments of the problem. Next, this excitation-response relationship is extended via statistical linearization to account for nonlinear systems as well. This involves the concept of determining optimal equivalent linear elements corresponding to specific time and frequency bands, whereas the response evolutionary PSD is determined via an iterative scheme. Pertinent numerical examples and Monte Carlo simulation data are included as well for demonstrating the reliability of the technique.
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Pasparakis G.D., Fragkoulis V.C., Beer M., Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices, Mechanical Systems and Signal Processing, 149, 2021. Crossref
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Xiao Xiang, Zhang Yuxuan, Shen Wenai, A stochastic analysis method of transient responses using harmonic wavelets, part 2: Time-dependent vehicle-bridge systems, Mechanical Systems and Signal Processing, 162, 2022. Crossref
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Kong Fan, Zhang Yixin, Zhang Yuanjin, Non-stationary response power spectrum determination of linear/non-linear systems endowed with fractional derivative elements via harmonic wavelet, Mechanical Systems and Signal Processing, 162, 2022. Crossref
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Zhangjun Liu, Xinxin Ruan, Zixin Liu, Performance-based global reliability assessment of a high-rise frame-core tube structure subjected to multi-dimensional stochastic earthquakes, Earthquake Engineering and Engineering Vibration, 21, 2, 2022. Crossref
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Kong Fan, Han Renjie, Li Shujin, He Wei, Non-stationary approximate response of non-linear multi-degree-of-freedom systems subjected to combined periodic and stochastic excitation, Mechanical Systems and Signal Processing, 166, 2022. Crossref
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Han Xiaojing, Pagnacco Emmanuel, Response EPSD of chain-like MDOF nonlinear structural systems via wavelet-Galerkin method, Applied Mathematical Modelling, 103, 2022. Crossref
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Sheng Xiangqian, Fan Wenliang, Yang Xiaoyang, Li Zhengliang, Auxiliary harmonic excitation generalized method for random vibration analysis of linear structures under non-stationary Gaussian excitation, Mechanical Systems and Signal Processing, 172, 2022. Crossref
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Pasparakis G.D., Kougioumtzoglou I.A., Fragkoulis V.C., Kong F., Beer M., Excitation–response relationships for linear structural systems with singular parameter matrices: A periodized harmonic wavelet perspective, Mechanical Systems and Signal Processing, 169, 2022. Crossref