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A Beam Finite Element Based on the Explicit Finite Element Method

L. T. Tenek(1*)

(1) General Department-Section of Mechanics, Polytechnic School, Aristotle University of Thessaloniki, Greece
(*) Corresponding author


DOI: https://doi.org/10.15866/irece.v6i5.7977

Abstract


The present article presents a new three-dimensional beam finite element, the element EB6, based on explicit theory. To the element is assigned a set of modes. A diagonal Modal elemental stiffness matrix is formed which through a series of matrix transformations relates to the local and global coordinate systems. An initial load due to temperature is derived, as well as the elemental mass matrix and the geometric stiffness. All quantities are explicitly defined. The element is used to study a number of beam, arc, and frame structures. Computational aspects of the element are also provided.
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Keywords


Explicit FEM; Beam Element; Modes; Stress Wave Pattern; Computing

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References


L.T. Tenek, Finite Element Natural-Mode Analysis for Arbitrary Composite Shells, PhD Dissertation, University of Westminster, London, 1997

J. Argyris, L. Tenek and A. Mattsson, BEC: A 2-node fast converging shear-deformable isotropic and composite beam element based on 6 rigid-body and 6 straining modes, Comput. Methods Appl. Mech. Engrg., Vol. 152, pp. 281-336, 1998
http://dx.doi.org/10.1016/s0045-7825(97)00144-8

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http://dx.doi.org/10.1007/978-94-015-9044-0

L.T. Tenek, Some Explicit Beam, Plate and Shell Finite Elements, International Review of Mechanical Engineering (I.RE.M.E.)., Vol. 1, n. 3, pp. 225-231, May 2007

L.T. Tenek, On the Concepts of Action, Reaction, and Stress Wave Patterns in Structures, International Review of Mechanical Engineering (I.RE.M.E.)., Vol. 1, n. 5, pp. 538-542, September 2007

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