Symbolic Generation of Finite Element Stiffness Matrices.
Abstract
A symbolic processor, *****(pronounced five star), to assist in the generation of stiffness matrices for finite elements, based on a recently developed symbolic processor, is presented. Operations are performed upon element characteristics and material properties in symbolic form to produce a matrix template, consisting of the algebraic expressions generated for the stiffness coefficients as functions of the problem parameters in literal form. The template may be evaluated for a given element by binding these symbolic forms to the numerical values associated with a specific element. The evaluation process is further facilitated by permitting specification of a variety of output formats for the resulting matrix template. Required input is minimized by automatically synthesizing the constituent matrices of the formulation from user-supplied specifications of shape functions, material properties and stress-strain relationships, all in symbolic notation. The processor, written in MACSYMA, is highly interactive providing prompts for user input, enumeration of available program options, and extensive on-line assistance.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1978
- Accession Number
- ADA052561
Entities
People
- Alan R. Kornoff
- Steven J. Fenves
Organizations
- Carnegie Institute of Technology