Title

Analysis Of The Nonlinearity Associated With The Free Vibration Of An Orthotropic Shell

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. © 1996 American Society of Civil Engineers.

Publication Date

1-1-1996

Publication Title

Engineering, Construction, and Operations in Space V

Number of Pages

1115-1121

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1061/40177(207)150

Socpus ID

84904805016 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84904805016

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