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Nonlinear Response of Cylindrical Shells to Random Excitation

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Abstract

An analytical study of nonlinear flexural vibrations of cylindrical shells to random excitation is presented. Donnell's thin-shell theory is used to develop the governing equations of motion. Thermal effects for a uniform temperature rise through the shell thickness are included in the formulation. A Monte Carlo simulation technique of stationary random processes, multi-mode Galerkin-like approach and numerical integration procedures are used to develop nonlinear response solutions of simply-supported cylindrical shells. Numerical results include time domain response histories, root-mean-square values and histograms of probability density. Comparison of Monte Carlo results is made to those obtained by statistical linearization and the Fokker–Planck equation.

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Authors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY, 10027, U.S.A

    V. Dogan & R. Vaicaitis

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  1. V. Dogan
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  2. R. Vaicaitis
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Dogan, V., Vaicaitis, R. Nonlinear Response of Cylindrical Shells to Random Excitation. Nonlinear Dynamics 20, 33–53 (1999). https://doi.org/10.1023/A:1008398007849

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