
Accession Number : AD0750638
Title : A Theorem for Optimum Idealizations in FiniteElement 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 finiteelement 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 onedimensional 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