Dynamic Analysis of General Thin Shells

S. Naomis and P. C. M. Lau
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S. Naomis: University of Western Australia, Civil Engineering Department
P. C. M. Lau: University of Western Australia, Civil Engineering Department

Chapter D45 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 399-406 from Springer

Abstract: Abstract 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[1] to approximate the complete displacement and strain equations developed by Flugge [2] for thin shell structures. Numerical examples are presented to illustrate the applications and verify the acurracy of the method.

Date: 1987
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DOI: 10.1007/978-94-009-3653-9_45

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