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Dynamic Inhomogeneous Isoparametric Element with Coordinate Transformation

Published online by Cambridge University Press:  11 December 2015

Z.-L. Yang ,
J.-W. Zhang  and
Y. Wang
Z.-L. Yang
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
J.-W. Zhang
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
Y. Wang*
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
*
*Corresponding author ([email protected])
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Abstract

Based on the coordinate transformation method, the formula of the dynamic inhomogeneous isoparametric finite element method is presented for generating element stiffness, damping and mass matrices. First, the global coordinate form and simplified form of dynamic inhomogeneous finite element are given in this paper. Then, the discrete material parameter distributions under the isoparametric coordinate system are obtained by using the transformation relationship between the global coordinates and the isoparametric coordinates. The simplified form with the discrete material parameter distributions is obtained for generating the element stiffness and mass matrices of the dynamic inhomogeneous isoparametric element. The numerical examples show that the scheme proposed in present paper has high precision.

Keywords

Dynamic inhomogeneous finite elementInhomogeneous mediumCoordinate transformationIsoparametric coordinate
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 3 , June 2016 , pp. 289 - 296
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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