Analysis of Cylindrically Curved Panels Based on a Two Field Variable Variational Principle

[+] Author and Article Information
Maher N. Bismarck-Nasr

Divisão de Engenharia Aeronáutica, Instituto Tecnológico de Aeronáutica, Centro Técnico Aeroespacial, São José dos Campos, SP, 12228-900, Brazil

Appl. Mech. Rev 46(11S), S71-S78 (Nov 01, 1993) doi:10.1115/1.3122660 History: Online April 29, 2009


A variational formulation of thin cylindrically curved panels having transverse displacement and Airy stress function as field variable is presented. Euler-Lagrange equations and boundary conditions are obtained. A finite element based on this variational principle preserving C(1) continuity is formulated. Applications for free vibrations, buckling, and supersonic panel flutter analyses are given. Several numerical calculations are presented. The results obtained are discussed and are compared with previous analytical solutions, numerical calculations, and experimental findings.

Copyright © 1993 by American Society of Mechanical Engineers
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