Dynamic Analysis of General Thin Shells
This paper presents a method for computing the natural frequencies and mode shapes of a general thin shell.The surface of a thin shell is described by a set of α-ß curvilinear coordinate lines which may not be orthogonal.Only three translational components of displacement at intersections of two curvilinear lines are required for establishing the computational model.The method uses the large memory of a microcomputer to allow the process of formation of the stiffness and consistent mass matrices, and iterations of eigenvectors to be carried out entirely in the core memory.The method also uses curvilinear finite differences to approximate the complete displacement and strain equations developed by Flugge  for thin shell structures. Numerical examples are presented to illustrate the applications and verify the acurracy of the method.
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- 2.Flugge,W. - Tensor Analysis and Continuum Mechanics. Springer-Verlag, Berlin, 1972.Google Scholar
- 5.Christensen,P.J. & Lau,P.C.M. ‘A microcomputer based technique for the analysis of orthotropic thin plates’,Proc. NUMETA 85, pp.965–972,(1985)Google Scholar
- 7.Naomis,S. ‘The Application of the Curvilinear Finite Difference Method to the Dynamic Analysis of General Thin Shells’, Department of Civil Engineering, University of Western Australia, 1987.Google Scholar