Accession Number : AD0750638

Title :   A Theorem for Optimum Idealizations in Finite-Element Analysis,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG COLL OF ENGINEERING

Personal Author(s) : Barker,Richard M. ; Carroll,Wayne E.

Report Date : 07 SEP 1972

Pagination or Media Count : 37

Abstract : A development is presented which serves to characterize the nature of an optimum finite-element idealization. It is shown that a true minimum of the system potential energy must consider the idealization geometry as a primary parameter. As a consequence, two optimization equations result, one the usual equilibrium equation and the other a residual equation involving gradients of the stiffness matrix and load vector resulting from changes in the idealization. A technique for determining the optimum solution is described and is applied to a one-dimensional example of a flexural problem. Practical recommendations are given based on an examination of the residuals associated with the optimization process. (Author)

Descriptors :   (*CONTINUUM MECHANICS, NUMERICAL ANALYSIS), ELASTIC PROPERTIES, STRAIN(MECHANICS), INTEGRALS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, THEOREMS, LOADS(FORCES), POTENTIAL ENERGY

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE