Chapter
Apr 26, 2012
Analysis of the Nonlinearity Associated with the Free Vibration of an Orthotropic Shell
Authors: Jamal F. Nayfeh and Nicholas J. RivieccioAuthor Affiliations
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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© 1996 American Society of Civil Engineers.
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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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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.