Analysis and sensitivity analysis by computer algebra for a third-order plate finite element

doi:10.1016/0045-7949(93)90105-M

Computers & Structures

Volume 49, Issue 2, 17 October 1993, Pages 243-252

https://doi.org/10.1016/0045-7949(93)90105-M Get rights and content

Abstract

It is shown that even a complicated 50 degree of freedom laminated plate element can be dealt with analytically without numerical integration. In addition to saving computer time, this has many advantages. The different aspects of the element behaviour, i.e. material dependence, orientational dependence and element geometry are separated by using the basic element matrices of the finite element method. This allows for simple sensitivity analysis in optimal design solutions and also simplifies the solution of material non-linear problems.

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Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992-1995)
1997, Engineering computations

^†: Visiting from Vilnius Technical University, Lithuania.

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Analysis and sensitivity analysis by computer algebra for a third-order plate finite element

Abstract

Comput. Meth. Appl. Mech. Engng

Finite element properties, based upon elastic potential interpolation

Some properties of linear strain triangles and optimal finite element models

Int. J. Numer. Meth. Engng

On accuracy problems for semi-analytical sensitivity analysis

Mech. Struct. Mach.

Hierarchical triangular finite element for plate bending

LitNIINTI, Vilnius

Forming the structural matrices of nonlinear bending finite elements using computer algebra

Appl. Mech., Kaunas

Analysis of non-axisymmetric vibrations and the use of basic element matrices

Comput. Struct.

A shear-flexible triangular finite element model for laminated composite plates

Int. J. Numer. Meth. Engng