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| Power spectrum determination of system response via the Wavelet-Galerkin technique |
| Received:February 09, 2012 Revised:September 02, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201302001 |
| KeyWord:wavelet transform harmonic wavelet connection coefficients Wavelet-Galerkin power spectral density |
| Author | Institution |
| 孔凡 |
同济大学 土木工程学院,上海 |
| 李杰 |
同济大学 土木工程学院,上海 ;同济大学 土木工程防灾国家重点实验室,上海 |
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| Abstract: |
| This paper presents a wavelet-Galerkin technique based approach for the determination of the power spectrum density (PSD) of the response of the SDOF system subject to stochastic excitation.Specifically,first the Periodic Generalized Harmonic Wavelet (PGHW) is presented and the connection coefficients of the PGHW are derived,based on the analytical form and the orthogonality of the wavelets.Further,the deterministic response of the system is obtained via the wavelet-Galerkin technique and the connection coefficients.Next,based on the relationship between the mean square value of the wavelet coefficients and the power spectrum density of the stochastic process,the excitation-response PSD relationship is derived.Finally,the numerical example demonstrates the reliability of the approach over the pertinent Monte Carlo simulation. |
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