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http://dx.doi.org/10.12989/sem.2018.65.1.091

Performances of non-dissipative structure-dependent integration methods  

Chang, Shuenn-Yih (Department of Civil Engineering, National Taipei University of Technology)
Publication Information
Structural Engineering and Mechanics / v.65, no.1, 2018 , pp. 91-98 More about this Journal
Abstract
Three structure-dependent integration methods with no numerical dissipation have been successfully developed for time integration. Although these three integration methods generally have the same numerical properties, such as unconditional stability, second-order accuracy, explicit formulation, no overshoot and no numerical damping, there still exist some different numerical properties. It is found that TLM can only have unconditional stability for linear elastic and stiffness softening systems for zero viscous damping while for nonzero viscous damping it only has unconditional stability for linear elastic systems. Whereas, both CEM and CRM can have unconditional stability for linear elastic and stiffness softening systems for both zero and nonzero viscous damping. However, the most significantly different property among the three integration methods is a weak instability. In fact, both CRM and TLM have a weak instability, which will lead to an adverse overshoot or even a numerical instability in the high frequency responses to nonzero initial conditions. Whereas, CEM possesses no such an adverse weak instability. As a result, the performance of CEM is much better than for CRM and TLM. Notice that a weak instability property of CRM and TLM might severely limit its practical applications.
Keywords
weak instability; numerical instability; overshoot; structure-dependent integration method;
Citations & Related Records
Times Cited By KSCI : 8  (Citation Analysis)
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