Accession Number:

ADA052561

Title:

Symbolic Generation of Finite Element Stiffness Matrices.

Descriptive Note:

Technical rept.,

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA DEPT OF CIVIL ENGINEERING

Personal Author(s):

Report Date:

1978-01-01

Pagination or Media Count:

118.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE