Premium
Reduced minimization theory in beam elements
Author(s) -
OakKey Min,
YongWoo Kim
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620371208
Subject(s) - spurious relationship , numerical integration , minification , jacobian matrix and determinant , mathematics , gaussian quadrature , consistency (knowledge bases) , finite element method , gaussian , constant (computer programming) , mathematical optimization , mathematical analysis , geometry , computer science , physics , nyström method , integral equation , statistics , quantum mechanics , programming language , thermodynamics
By using the field‐consistency and least‐squares fit concepts, reduced minimization theory is proposed to show the effect of numerical integration on the behaviour of C 0 ‐continuous beam elements when the Jacobian is constant within an element. The theory provides a unified viewpoint on the relationship between spurious constraint, the location of optimal sampling points and integration order. The conventional Uniformly Reduced Integration (URI) and Selective Reduced Integration (SRI) are redefined by using reduced minimization theory. We also present numerical reduced minimization theory, which explains the effects of more‐than‐two‐order‐lower reduced integration when Gaussian quadrature is employed.