More reliable responses for time integration analyses

Soroushian, Aram; Farjoodi, Jamshid

doi:10.12989/sem.2003.16.2.219

Cited by 17 publications

(23 citation statements)

References 19 publications

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“…The computational cost of a numerical method depends on the computational time spent (CPU usage in general) and the computational memory involved in the analysis [30][31][32]. The technique proposed in Section 2 has specifically the stage 'b' of the corresponding procedure (proposed in Section 3.1), additional to the conventional time integration procedures.…”

Section: Computational Costmentioning

confidence: 99%

“…2. Computational cost or effort, as the CPU and memory usage [30], mainly depending on the number of steps, the integration formulation (the number of matrices that should be inversed and their sizes), the size of the problem (number of degrees of freedom) [30][31][32], and the probably existing nonlinearities [19,26,27,31]. 3.…”

Section: Introductionmentioning

confidence: 99%

“…Convergence, accuracy, and computational cost, all, are being affected by the t defined in Equation (2) [19,26,[30][31][32]; hence, the appropriate selection of t is of high computational importance, attracting considerable theoretical attention, see also [33][34][35][36]. Currently, it is a general approach to set t (time step size) equal to the largest value satisfying the requirements of numerical stability and consistency (convergence), also, appropriate for accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…In this regard, an illustrative example is studied below, once with q = 1 and then again with q = 2. Consider the simple problem in the following equation (studied in the literature by times [39,57,58]):…”

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confidence: 99%

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A technique for time integration analysis with steps larger than the excitation steps

Soroushian

2008

Commun. Numer. Meth. Engng.

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SUMMARYThe integration step size is the main algorithmic parameter in time integration analysis. Nowadays, for time integration with the complete records of digitized excitations, the integration steps cannot be set larger than the excitation steps. Considering the practical importance of this restriction, and with the aim of structural dynamic analysis with less computational cost, this paper intends to extend conventional time integration analyses to analyses, if needed, carried out with steps larger than the excitations steps. In view of few simplifying assumptions, and presenting a new theorem on responses convergence, a technique is developed and a computational procedure is set. Being based on convergence-oriented redefinition of digitized excitations, the implementation of the new procedure is simple and, though, sacrificing some accuracy, can considerably reduce the total computational cost.

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Section: Computational Costmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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A technique for time integration analysis with steps larger than the excitation steps

Soroushian

2008

Commun. Numer. Meth. Engng.

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“…equations of motion subjected to digitized earthquake records (Eqs. (1)), it is conventional to implement linear interpolation of the digitized records in analyses with smaller steps [12,[19][20][21]. In view of this idea, we can convert an earthquake record digitized at steps equal to t  , to a record digitized at smaller steps, by linear interpolation, and expect no loss of accuracy in time integration analysis (compared to the exact responses); though in the price of more computational cost.…”

Section: Theorymentioning

confidence: 99%