A method of computing numerically integrated stiffness matrices
β Scribed by Ajaya K. Gupta; Bijan Mohraz
- Publisher
- John Wiley and Sons
- Year
- 1972
- Tongue
- English
- Weight
- 411 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
A method of formulating and computing numerically integrated stiffness matrices is presented. Through a better organization of the formulation which is easily achieved by the use of index notation, the computations for integrating and evaluating the element stiffness matrix are substantially reduced. For cases in which the terms of the material property tensor are not functions of position coβordinates (elastic isotropic and anisotropic materials), a further reduction in computation is achieved by multiplying the material propertyβtensor after the numerical integration has been carried out.
π SIMILAR VOLUMES
Conditions under which it is possible to determine exact integrals for stiness matrix entries for a 6-noded isoparametric plane strain element have been investigated. Considerable use has been made of the algebraic manipulation language MAPLE in obtaining the results. It has been shown that exact in
In this paper higher order convergent methods for computing square roots of nonsingular complex matrices are derived. These methods are globally convergent and are based on eigenvalue shifting and powering. Specifically, it is shown for each positive integer r G 2, a convergent method of order r can
This work is concerned with the numeric sti ness matrices of three-noded triangular plate bending ΓΏnite elements; in particular with those numeric sti ness matrices, which are freedom-deΓΏcient and comply with the conditions of the patch test. Subsequent to initial transformation of the rotation con