On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 1: Formulation/Convergence Study

[+] Author and Article Information
A. V. Singh, V. Kumar

Department of Mechanical Engineering, University of Western Ontario, London, Ontario, Canada N6A 5B9

J. Vib. Acoust 120(1), 287-294 (Jan 01, 1998) (8 pages) doi:10.1115/1.2893819 History: Received July 01, 1996; Revised December 01, 1996; Online February 26, 2008


This paper presents a Ritz-type numerical scheme for the analysis of doubly curved laminated open panels. The fundamental strain-displacement relations and energy expressions are developed in orthogonal curvilinear coordinates. Higher-order shear deformation theory and the effects of rotary inertia are included in the formulation. The displacement fields are prescribed by Bezier surface patches and the procedure to implement the boundary conditions in this context is also described. The numerical method is developed such that any arbitrary open panel bounded by four curved edges can be analyzed. Two examples namely: cantilevered cross-ply cylindrical and spherical panels are used to demonstrate the convergence of the solution procedure. Bezier surface patches formed by the eighth order polynomials yield good values of the natural frequencies.

Copyright © 1998 by The American Society of Mechanical Engineers
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