Dynamic identification of axial force and boundary restraints in tie rods and cables with uncertainty quantification using Set Inversion Via Interval Analysis

2018 ◽  
Vol 423 ◽  
pp. 401-420 ◽  
Author(s):  
Timothy Kernicky ◽  
Matthew Whelan ◽  
Ehab Al-Shaer
Keyword(s):  
Uncertainty Quantification ◽  
Axial Force ◽  
Interval Analysis ◽  
Dynamic Identification ◽  
Tie Rods

Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis

2019 ◽  
Vol 142 (5) ◽  
Author(s):  
Lixiong Cao ◽  
Jie Liu ◽  
Chao Jiang ◽  
Zhantao Wu ◽  
Zheng Zhang
Keyword(s):  
Dimension Reduction ◽  
Uncertainty Quantification ◽  
Interval Analysis ◽  
Evidence Theory ◽  
Evidence Based ◽  
Original Performance ◽  
Engineering Applications ◽  
Performance Function ◽  
One Dimensional ◽  
Interval Analysis Method

Abstract Evidence theory has the powerful feature to quantify epistemic uncertainty. However, the huge computational cost has become the main obstacle of evidence theory on engineering applications. In this paper, an efficient uncertainty quantification (UQ) method based on dimension reduction decomposition is proposed to improve the applicability of evidence theory. In evidence-based UQ, the extremum analysis is required for each joint focal element, which generally can be achieved by collocating a large number of nodes. Through dimension reduction decomposition, the response of any point can be predicted by the responses of corresponding marginal collocation nodes. Thus, a marginal collocation node method is proposed to avoid the call of original performance function at all joint collocation nodes in extremum analysis. Based on this, a marginal interval analysis method is further developed to decompose the multidimensional extremum searches for all joint focal elements into the combination of a few one-dimensional extremum searches. Because it overcomes the combinatorial explosion of computation caused by dimension, this proposed method can significantly improve the computational efficiency for evidence-based UQ, especially for the high-dimensional uncertainty problems. In each one-dimensional extremum search, as the response at each marginal collocation node is actually calculated by using the original performance function, the proposed method can provide a relatively precise result by collocating marginal nodes even for some nonlinear functions. The accuracy and efficiency of the proposed method are demonstrated by three numerical examples and two engineering applications.

scholarly journals Dynamic assessment of the axial force in the tie-rods of the Milan Cathedral

2017 ◽  
Vol 199 ◽  
pp. 3362-3367 ◽  
Author(s):  
Carmelo Gentile ◽  
Carlo Poggi ◽  
Antonello Ruccolo ◽  
Mira Vasic
Keyword(s):  
Axial Force ◽  
Dynamic Assessment ◽  
Tie Rods

Bending tests to estimate the axial force in tie-rods

2012 ◽  
Vol 44 ◽  
pp. 57-64 ◽  
Author(s):  
Nerio Tullini ◽  
Giovanni Rebecchi ◽  
Ferdinando Laudiero
Keyword(s):  
Axial Force ◽  
Bending Tests ◽  
Tie Rods

scholarly journals Dynamic Identification of Tensile Force in Tie-Rods by Interferometric Radar Measurements

2021 ◽  
Vol 11 (8) ◽  
pp. 3687
Author(s):  
Domenico Camassa ◽  
Anna Castellano ◽  
Aguinaldo Fraddosio ◽  
Giuseppe Miglionico ◽  
Mario Daniele Piccioni
Keyword(s):  
Tensile Force ◽  
Dynamic Tests ◽  
Force Estimation ◽  
Dynamic Identification ◽  
Historical Masonry ◽  
Radar Measurements ◽  
Tie Rods ◽  
Non Destructive ◽  
Identification Model

An experimental investigation on the accuracy of dynamically determined tensile force in tie-rods by applying the interferometric radar technique was performed. Tie-rods were used in historical masonry constructions for absorbing thrusts of arches and vaults, and the radar interferometry may represent a fast and easy non-destructive approach for the tensile force identification in the occasion of structural assessments. Laboratory dynamic tests on a cable under a known tensile force show that, provided that a suitable dynamic identification model is used, tensile force evaluations made stating from interferometric radar measurements were characterized by a very good accuracy (mean error in the tensile force estimation less than 2%), comparable with evaluations made starting from accelerometric measurements. In particular, the dynamic identification model considered is a modified version of a model proposed in the literature. The influence on the accuracy in the determination of the tensile force of some features of the experimental setup, like, e.g., the employ of corner reflectors, is discussed.

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