Nonlinear Vibration of Composite Shell Subjected to Resonant Excitations
Publication: Journal of Aerospace Engineering
Volume 13, Issue 2
Abstract
Analysis of the vibration of a shallow, simply supported, nonsymmetric unbalanced cross-ply laminated, circular cylindrical composite shell is presented. The subject is particularly relevant, considering the widespread use of cylindrical shell structures in engineering applications. This research applies the discretized Lagrangian/method of multiple scales solution technique. The Donnell shallow shell strain-displacement relations and the single-mode displacement field from the linear eigenvalue problem are applied. The system Lagrangian is developed and integrated over the spatial domain and then substituted into Lagrange's equation. The resulting equation of motion is a second-order temporally nonlinear ordinary differential equation in the form of the Duffing oscillator. The natural frequency, the coefficient of the cubic nonlinearity, and the strength of the nonlinearity are investigated. The method of multiple scales is applied to the nonlinear equation of motion in order to analyze the frequency response. Primary resonance, subharmonic resonance, and superharmonic resonance are analyzed.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 13 • Issue 2 • April 2000
Pages: 59 - 68
History
Received: Mar 4, 1999
Published online: Apr 1, 2000
Published in print: Apr 2000
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