Accession Number:

AD0750638

Title:

A Theorem for Optimum Idealizations in Finite-Element Analysis,

Descriptive Note:

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG COLL OF ENGINEERING

Personal Author(s):

Report Date:

1972-09-07

Pagination or Media Count:

37.0

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

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE