000004713 001__ 4713
000004713 005__ 20141119144547.0
000004713 04107 $$aeng
000004713 046__ $$k2002-06-02
000004713 100__ $$aSoroushian, Aram
000004713 24500 $$aAN IMPROVEMENT IN NONLINEAR ANALYSIS

000004713 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004713 260__ $$bColumbia University in the City of New York
000004713 506__ $$arestricted
000004713 520__ $$2eng$$aWhen studying the nonlinear behavior of engineering structures, incremental iterative analysis is indispensable. According to the nature of iterative computations their results can never be exact. To control the additional errors, using nonlinearity tolerances is essential. However, because of the limited computers' capabilities small tolerances can not always be applied. Hence almost in all of the well-known analysis softwares, the maximum number of iterations is bounded to an additional parameter. This parameter is generally selected merely by computational practice and engineering judgement, and thus may lead to low accuracy if the selected values are very small, or divergence of iterations if the selected values are very high. To overcome this problem, a technique for automatically controlling the number of iterations is presented in this paper. Based on the number of significant digits that can be considered by computers, this technique not only omits one of the analysis parameters, but also ensures that if computer capabilities allow, nonlinearity residual errors would be as small as requested. The improvement is verified by applying the suggested technique to a nonlinear dynamic problem.

000004713 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004713 653__ $$aNonlinear analysis, Iterative computation, Nonlinearity tolerances, Significant digits,

000004713 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004713 720__ $$aSoroushian, Aram$$iFarjoodi, Jamshid
000004713 8560_ $$ffischerc@itam.cas.cz
000004713 8564_ $$s184664$$uhttp://invenio.itam.cas.cz/record/4713/files/215.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004713 962__ $$r4594
000004713 980__ $$aPAPER