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Sustainability 2018, 10(8), 2846; https://doi.org/10.3390/su10082846

Nonlinear Error Propagation Analysis of a New Family of Model-Based Integration Algorithm for Pseudodynamic Tests

1
,
2
and
1,*
1
School of Civil Engineering, Chang’an University, Xi’an 710061, China
2
College of Civil Engineering, Tongji University, Shanghai 200092, China
*
Author to whom correspondence should be addressed.
Received: 29 June 2018 / Revised: 7 August 2018 / Accepted: 7 August 2018 / Published: 10 August 2018
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Abstract

Error propagation properties of integration algorithms are crucial in conducting pseudodynamic tests. The motivation of this study is to investigate the error propagation properties of a new family of model-based integration algorithm for pseudodynamic tests. To develop the new algorithms, two additional coefficients are introduced in the Chen-Ricles (CR) algorithm. In addition, a parameter—i.e., degree of nonlinearity—is applied to describe the change of stiffness for nonlinear structures. The error propagation equation for the new algorithms implemented in a pseudodynamic test is derived and two error amplification factors are deduced correspondingly. The error amplification factors for three structures with different degrees of nonlinearity are calculated to illustrate the error propagation effect. The numerical simulation of a pseudodynamic test for a two-story shear-type building structure is conducted to further demonstrate the error propagation characteristics of the new algorithms. It can be concluded from the theoretical analysis and numerical study that both nonlinearity and the two additional coefficients of the new algorithms have great influence on its error propagation properties. View Full-Text
Keywords: integration algorithm; pseudodynamic test, earthquake; nonlinearity; model-based integration algorithm; pseudodynamic test, earthquake; nonlinearity; model-based
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Fu, B.; Jiang, H.; Wu, T. Nonlinear Error Propagation Analysis of a New Family of Model-Based Integration Algorithm for Pseudodynamic Tests. Sustainability 2018, 10, 2846.

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