Explicit Analytical Solutions for Element Stiffness Matrix Based on Mathematica
Abstract：The paper proposes two explicit solutions for plane quadrilateral stiffness matrix based on mathematica.The first solution is produced by direct integration with a complicated form.The second solution is obtained from Gauss integration with a relatively simple form.During the generation of the analytical form,the complex constant item is replaced by simple hypothetical variables,such as the variable replacement of the determination of Jacobi matrix.The integrated form of stiffness matrix is simplified.Finally,the effectiveness and practicability of the two explicit solutions are verified by an example.
Keywords：Mathematicastiffness matrixexplicit formGauss integration
Publication Date：2011-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 32-37 )