کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
785589 | 1465329 | 2014 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Response evolutionary power spectrum determination of chain-like MDOF non-linear structural systems via harmonic wavelets Response evolutionary power spectrum determination of chain-like MDOF non-linear structural systems via harmonic wavelets](/preview/png/785589.png)
• Evolutionary power spectrum (EPS) determination of stochastic dynamic systems.
• EPS matrix relationship between non-stationary excitation and response.
• Wavelet-based statistical linearization for non-linear/hysteretic MDOF structures.
A harmonic wavelets based technique is developed for determining the evolutionary power spectrum (EPS) matrix of the response of non-linear chain-like MDOF structural systems subject to a multi-component non-stationary stochastic excitation. Specifically, first a relationship between the evolutionary power spectrum matrices of the excitation and of the system response is derived by using a recently proposed locally stationary wavelet based representation of non-stationary stochastic processes. The relationship can be construed as a direct extension of the celebrated spectral input–output relationship of the linear stationary random vibration theory. Further, a harmonic wavelets based statistical linearization technique is proposed for the case of MDOF non-linear systems with chain-like architecture systems and hysteretic non-linearities. Numerical examples include MDOF non-linear systems comprising the versatile Bouc–Wen hysteretic model. Pertinent Monte Carlo simulations demonstrate the reliability of the technique.
Journal: International Journal of Non-Linear Mechanics - Volume 66, November 2014, Pages 3–17