Robust and efficient nonlinear structural analysis using the central difference time integration scheme

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Conference Contributions - Published
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Date
2017
Authors
Chandramohan R
Baker JW
Deierlein GG
Abstract

The explicit central difference numerical time integration scheme is demonstrated to be a robust and efficient alternative to commonly used implicit schemes like the Newmark average acceleration scheme for nonlinear structural response simulation. Numerical non-convergence issues, which are frequently encountered using the Newmark average acceleration scheme, are shown to introduce conservative biases in the estimated structural capacity and hamper the efficiency of analysis. They are shown to be responsible for the underestimation of the median collapse capacity of a 9-storey steel moment frame building by 10%. Despite requiring shorter analysis time steps, the time taken to conduct an incremental dynamic analysis using the central difference scheme is 73% lower than using the average acceleration scheme.

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Citation
Chandramohan R, Baker JW, Deierlein GG (2017). Robust and efficient nonlinear structural analysis using the central difference time integration scheme. Porto, Portugal: 1st European Conference on OpenSees. 19/06/2017-20/06/2017.
Keywords
explicit scheme, central difference scheme, implicit scheme, Newmark average acceleration scheme, numerical non-convergence, nonlinear structural analysis, collapse simulation, incremental dynamic analysis
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ANZSRC fields of research
Fields of Research::40 - Engineering::4005 - Civil engineering::400506 - Earthquake engineering
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