Titlebook: Computational Tensor Analysis of Shell Structures; Steve Naomis,Paul C. M. Lau Book 1990 Springer-Verlag Berlin Heidelberg 1990 Computatio

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Numerical Fundamentals, and the Principle of Virtual Displacements to formulate a technique capable of computing the dynamic characteristics of thin shells. This chapter presents and discusses the numerical techniques utilized in the formulation.

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Numerical Implementation, Principle of Virtual Displacements to formulate a technique capable of determining the free vibration characteristics of shell structures. Included within the following sections are details relating to the implementation of a second order nine node and a third order sixteen node finite difference approximation.

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Numerical Applications,pters. The methodology is based on the strain-displacement equations of Flugge [1] and uses the curvilinear finite difference method in order to approximate the geometric properties and displacement behaviour of the shell. Such an approach enables shells of arbitrary geometry to be analysed.

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Introduction,Shell structures are widely used in a variety of engineering applications ranging from domes for major buildings and components of flight structures to liquid storage containers. These structures often have arbitrary shape and support conditions to meet functional and manufacturing requirements.

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Summary,A technique capable of computing the natural frequencies and mode shapes of thin shells has been developed and applied successfully to a number of shallow and non-shallow shell structures.

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