Title

Analysis of 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 (1995) 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.

Publication Date

1-1-1997

Publication Title

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volume

1

Number of Pages

382-386

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0030694926 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030694926

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