Novel Linear Implicit Integration Method and its Application to Linear/Nonlinear Structural System

Chuan Guo Jia; Yan Xing Liu; Ying Min Li; Min Mao Liao

doi:10.4028/www.scientific.net/AMR.1065-1069.1535

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1065-1069Novel Linear Implicit Integration Method and its...

Novel Linear Implicit Integration Method and its Application to Linear/Nonlinear Structural System

Abstract:

Dynamic simulations of structures to determine their seismic performance is an essential part of civil engineering research. Time integrators of increasing sophistication has been elaborated over the last few decades to achieve higher order accuracy, unconditional stability, computational efficiency and high-frequency dissipation. This paper tries to extend 1-stage Rosenbrock-based integrator to an integrator of second-order accuracy without losing computational efficiency and unconditional stability. Initially, 1-stage Rosenbrock integrator is introduced and its order of accuracy is studied theoretically. According to accuracy analysis, a force term at the end of current step is considered, resulting a novel integrator of second-order accuracy. Moreover, the stability of the proposed method is studied by means of the energy method. To investigate its performance for nonlinear structures, numerical simulations are conducted on a shear-type structure including a pendulum.

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Periodical:

Advanced Materials Research (Volumes 1065-1069)

Pages:

1535-1539

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1065-1069.1535

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Online since:

December 2014

Authors:

Chuan Guo Jia*, Yan Xing Liu, Ying Min Li, Min Mao Liao

Keywords:

Bouc-Wen Model, Energy Approach, Energy-Decaying Property, Pendulum, Rosenbrock Method

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