scholarly journals Epistemic uncertainty quantification in flutter analysis using evidence theory

2015 ◽  
Vol 28 (1) ◽  
pp. 164-171 ◽  
Author(s):  
Jian Tang ◽  
Zhigang Wu ◽  
Chao Yang
Keyword(s):  
Uncertainty Quantification ◽  
Epistemic Uncertainty ◽  
Evidence Theory ◽  
Flutter Analysis

Evidential uncertainty quantification of the Park–Ang damage model in performance based design

2018 ◽  
Vol 35 (7) ◽  
pp. 2480-2501
Author(s):  
Hesheng Tang ◽  
Dawei Li ◽  
Lixin Deng ◽  
Songtao Xue
Keyword(s):  
Uncertainty Quantification ◽  
Earthquake Engineering ◽  
Epistemic Uncertainty ◽  
Damage Model ◽  
Computational Cost ◽  
Damage Index ◽  
Evidence Theory ◽  
Optimization Strategy ◽  
Content Type ◽  
Whole Process

Purpose This paper aims to develop a comprehensive uncertainty quantification method using evidence theory for Park–Ang damage index-based performance design in which epistemic uncertainties are considered. Various sources of uncertainty emanating from the database of the cyclic test results of RC members provided by the Pacific Earthquake Engineering Research Center are taken into account. Design/methodology/approach In this paper, an uncertainty quantification methodology based on evidence theory is presented for the whole process of performance-based seismic design (PBSD), while considering uncertainty in the Park–Ang damage model. To alleviate the burden of high computational cost in propagating uncertainty, the differential evolution interval optimization strategy is used for efficiently finding the propagated belief structure throughout the whole design process. Findings The investigation results of this paper demonstrate that the uncertainty rooted in Park–Ang damage model have a significant influence on PBSD design and evaluation. It might be worth noting that the epistemic uncertainty present in the Park–Ang damage model needs to be considered to avoid underestimating the true uncertainty. Originality/value This paper presents an evidence theory-based uncertainty quantification framework for the whole process of PBSD.

Evidential Uncertainty Quantification of Dynamic Response Spectrum Analysis

2014 ◽  
Vol 501-504 ◽  
pp. 690-694
Author(s):  
He Sheng Tang ◽  
Wen Yao ◽  
Li Xin Deng ◽  
Yu Su ◽  
Jiao Wang
Keyword(s):  
Dynamic Response ◽  
Uncertainty Quantification ◽  
Spectrum Analysis ◽  
Epistemic Uncertainty ◽  
Response Spectrum ◽  
Evidence Theory ◽  
Structural System ◽  
Response Spectrum Analysis ◽  
Interval Method ◽  
Approach Method

This study presents an evidential uncertainty quantification (UQ) approach for dynamic response spectrum analysis of a structural system with epistemic uncertainty. The present method is performed using an evidence theory to quantify the uncertainty present in the structures parameters such as material properties. In order to alleviate the computational difficulties in the evidence theory based UQ analysis, a differential evolution (DE) based interval optimization for computing bounds method is developed. With comparison of probability theory and interval method, the computational efficiency and accuracy of this approach method are also investigated.

Evidence Theory for Uncertainty Quantification of Portal Frames with Semi-Rigid Connections

2013 ◽  
Vol 663 ◽  
pp. 130-136
Author(s):  
He Sheng Tang ◽  
Jiao Wang ◽  
Yu Su ◽  
Song Tao Xue
Keyword(s):  
Uncertainty Quantification ◽  
Epistemic Uncertainty ◽  
Evidence Theory ◽  
Buckling Load ◽  
Frame Structures ◽  
Material Strength ◽  
Quantification Analysis ◽  
Rotation Stiffness ◽  
Buckling Length ◽  
Computational Strategy

The buckling load or the equivalent buckling length factor of the portal frame structures is greatly influenced by stiffness of bracing elements and semi-rigid connections. In engineering the problem parameters (geometrical, material, strength, and manufacturing) are given or considered with uncertainties. The initial rotation stiffness uncertainties are taken into consideration. A differential evolution-based computational strategy for the representation of epistemic uncertainty in a system with evidence theory is developed. An uncertainty quantification analysis for the buckling load of portal frames with semi-rigid connections is presented herein to demonstrate accuracy and efficiency of the proposed method.

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