Premium
A universal method for structural static reanalysis of topological modifications
Author(s) -
Chen Su Huan,
Yang Zhi Jun
Publication year - 2004
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.1084
Subject(s) - degrees of freedom (physics and chemistry) , iterative method , topology (electrical circuits) , reduction (mathematics) , mathematics , computer science , algorithm , mathematical optimization , geometry , physics , combinatorics , quantum mechanics
Abstract This paper presents a universal method, iterative combined approximation (iterative CA) approach, for structural static reanalysis of all types of topological modifications. The proposed procedure is basically an approximate two‐step method. First, the newly added degrees of freedom (DOFs) are assumed to be linked to the original DOFs of the modified structure by means of the Guyan reduction so as to obtain the condensed equation. Second, the displacements of the original DOFs of the modified structure are solved by using the iterative CA approach. And the displacements of the newly added DOFs resulting from topological modification can be recovered. Four numerical examples are given to illustrate the applications of the present approach. The results show that the proposed method is effective for structural static reanalysis of all types of the topological modifications and it is easy to implement on a computer. Copyright © 2004 John Wiley & Sons, Ltd.