Abstract
Symbolic computation can be effectively utilized for derivation of finite element equations with several apparent benefits: (1) reduced manual tedium, (2) derived equations with improved computational efficiency and numerical accuracy, and (3) reduced response time in finite element development. Included in the paper is a demonstration of the symbolic computation on two topics: derivation of strain-displacement matrices and closed-form integration of component matrices of hybrid element stiffness. Special emphasis will be placed on the organization of derivation procedures to facilitate symbolic computation, development of algorithms, matrix manipulation and expression simplification. Techniques involving pattern search, use of symmetry conditions and introduction of intermediate variables will be discussed for the purpose of resolving the expression growth problem.
| Original language | English |
|---|---|
| Pages (from-to) | 205-213 |
| Number of pages | 9 |
| Journal | American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP |
| Volume | 205 |
| Publication status | Published - 1990 |
| Externally published | Yes |
| Event | Winter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA Duration: 25 Nov 1990 → 30 Nov 1990 |