A Theorem for Optimum Idealizations in Finite-Element Analysis,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 07, 1972
- Accession Number
- AD0750638
Entities
People
- Richard M. Barker
- Wayne E. Carroll
Organizations
- Virginia Tech