Chapter
Apr 26, 2012

Analysis of the Nonlinearity Associated with the Free Vibration of an Orthotropic Shell

Publication: Engineering, Construction, and Operations in Space V

Abstract

The symbolic manipulator Mathematica is used to analyze the nonlinearity associated with the free vibration of a simply-supported orthotropic shell. This expands upon earlier analyses conducted by Rivieccio and Nayfeh on the nonlinear free vibration of an orthotropic shell. The nonlinear equation of motion is derived using the time-averaged Lagrangian analysis technique. The effects of various initial amplitudes on the nonlinear natural frequencies are evaluated. The effects of the different shell geometries on the nonlinearity are investigated. The nonlinearity is found to decrease with increasing radius of curvature, opening angle, and length.

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Go to Engineering, Construction, and Operations in Space V
Engineering, Construction, and Operations in Space V
Pages: 1115 - 1121

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Published online: Apr 26, 2012

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Jamal F. Nayfeh
A.M.ASCE
Assistant Professor, Department of Mechanical and Aerospace Engineering, University of Central Florida, Orlando, FL 32816
Nicholas J. Rivieccio
Graduate student, Department of Mechanical and Aerospace Engineering, University of Central Florida, Orlando, FL 32816

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