Extreme Value Distribution Estimation Method for Nonlinear Seismic Response of Bridge Structures

CHEN Zhiqiang; ZHENG Shixiong; ZHOU Qiang; CHEN Zhiwei; LI Xi

doi:10.3969/j.issn.0258-2724.20180948

Volume 55 Issue 4

Jul. 2020

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Journal of Southwest Jiaotong University > 2020 > 55(4): 772-779, 788.

CHEN Zhiqiang, ZHENG Shixiong, ZHOU Qiang, CHEN Zhiwei, LI Xi. Extreme Value Distribution Estimation Method for Nonlinear Seismic Response of Bridge Structures[J]. Journal of Southwest Jiaotong University, 2020, 55(4): 772-779, 788. doi: 10.3969/j.issn.0258-2724.20180948

Citation:

CHEN Zhiqiang, ZHENG Shixiong, ZHOU Qiang, CHEN Zhiwei, LI Xi. Extreme Value Distribution Estimation Method for Nonlinear Seismic Response of Bridge Structures[J]. Journal of Southwest Jiaotong University, 2020, 55(4): 772-779, 788. doi: 10.3969/j.issn.0258-2724.20180948

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Extreme Value Distribution Estimation Method for Nonlinear Seismic Response of Bridge Structures

doi: 10.3969/j.issn.0258-2724.20180948

CHEN Zhiqiang^{1,2
,},
ZHENG Shixiong^{1,2
,
,},
ZHOU Qiang^1,2,
CHEN Zhiwei^1,2,
LI Xi^1,2

Received Date: 05 Nov 2018
Rev Recd Date: 07 Jan 2019

Available Online: 21 Feb 2020

Publish Date: 01 Aug 2020

Abstract

Abstract

To study the extreme value distribution (EVD) of nonlinear seismic response of bridges subjected to near-fault impulse ground motion and accurately estimates the dynamic reliability of bridges at small failure probability level, an effective method is proposed and validated. Considering the nonlinearity of bridge structures and the uncertainty of ground motions, the random parameters of near-fault impulse ground motion and structure are sampled by Latin hypercube sampling (LHS). The required number of seismic samples is determined by the relative error between the mean square value of simulated high-frequency ground motion and the exact value. Using synthetic near-fault impulse ground motions as seismic excitation, the structural nonlinear dynamic equation is solved by time history analysis, and the structural nonlinear seismic response extreme value samples are obtained. Then, the improved maximum entropy principle with fraction moment is adopted to obtain the EVD of bridges. The accuracy and efficiency of the proposed method are verified by a single degree freedom system and a three-story shear frame structure in comparison with the Monte Carlo simulation. Results indicate that the proposed method can not only effectively simulate the EVD of dynamic response of bridge under the double uncertainties influence of structure and ground motion, but also accurately estimate the tail distribution of the extreme value of nonlinear seismic response of bridge structure, with a balanced between efficiency and calculation accuracy. This method provides an effective way for evaluating the non-linear dynamic reliability of bridge structures.
- extreme value distribution,
- dynamic reliability,
- near-fault impulse,
- Latin hyper-cube sample,
- fractional moments

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References

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Extreme Value Distribution Estimation Method for Nonlinear Seismic Response of Bridge Structures

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