Comparison Between Linearization and Gaussian Closure

by M. Noori, Worcester Polytechnic Inst, United States,
H. Davoodi, Worcester Polytechnic Inst, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering

Abstract:

A variety of approximate solution techniques have been developed for analysis of nonlinear systems. The most widely used method has been equivalent linearization. Recently a general closure scheme was developed by R.A. Ibrahim and W.F. Wu-Y.K. Lin, for analysis of nonlinear systems. Herein, a comparison is made between the two methods. Gaussian statistics are obtained for two nonlinear systems. It is shown that the moment equations obtained using Ibrahim-Wu-Lin closure are identical to the covariance equations by linearization. This comparison is made both analytically and through numerical studies.

Subject Headings: Gaussian process | System analysis | Nonlinear response | Comparative studies | Vibration | Statistics | Numerical analysis

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