Some Explicit Beam, Plate and Shell Finite Elements


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Abstract


The present article presents some new beam, plate and shell finite elements based on explicit theory. The new elements are considered further developments of the Natural-Mode Method. We start from basic concepts of strain energy and based on concepts of modes or interpolations we provide a five matrix transformation on which the elemental stiffness matrix is based. Subquently, beam, plate and shell finite elements are described. New features include the introduction of sinus shape functions and surfaces. Some of the elements can be considered expressions of Fourier series. Explicit elemental matrices are developed and all integrations are in close form. The theory is suited for efficient and fast computer implementation. Numerical examples are provided
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Keywords


Explicit Finite Elements; Modes; Strain Energy; Sinus Shape Functions; Sinusoidal Surface; Computing

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References


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