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1997•Communications in Numerical Methods in EngineeringRequires access

AN ANALYTICAL STIFFNESS MATRIX FOR FIRST- AND SECOND‐ORDER UPRIGHT TRIANGULAR PRISMATIC FINITE ELEMENTS

P. A. T. PINHEIRO, F. J. DICKIN, Abigail James

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Abstract

Numerical integration is widely used for the computation of stiffness matrices in the finite element method (FEM). However, for simple cases such as the upright prismatic element such procedures are obviated by using an analytical method, thus reducing the computation burden. In this paper, the analytical stiffness matrices for both the first- and second-order upright triangular prismatic elements are derived. © 1997 John Wiley & Sons, Ltd.

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What this paper is about

Numerical integration is widely used for the computation of stiffness matrices in the finite element method (FEM). However, for simple cases such as the upright prismatic element such procedures are obviated by using an analytical method, thus reducing the computation burden. In this paper, the analytical stiffness matrices for both the first- and second-order upright triangular prismatic elements are derived. © 1997 John Wiley & Sons, Ltd.

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Available abstract

Numerical integration is widely used for the computation of stiffness matrices in the finite element method (FEM). However, for simple cases such as the upright prismatic element such procedures are obviated by using an analytical method, thus reducing the computation burden. In this paper, the analytical stiffness matrices for both the first- and second-order upright triangular prismatic elements are derived. © 1997 John Wiley & Sons, Ltd.

Key concepts: Finite element method, Computation, Stiffness, Direct stiffness method, Stiffness matrix, Mathematics, Matrix (chemical analysis), Numerical analysis

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AN ANALYTICAL STIFFNESS MATRIX FOR FIRST- AND SECOND‐ORDER UPRIGHT TRIANGULAR PRISMATIC FINITE ELEMENTS — Research Paper | ScholarLens