Response simulating interpolation methods for expanding experimental data based on numerical shape functions

Shi, Jun; Zheng, Kaikai; Tan, Yiqiu; Yang, Kangkang; Zhou, Guangchun

doi:10.1016/j.compstruc.2019.04.004

Cited by 15 publications

(10 citation statements)

References 24 publications

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“…In addition, redundant assumptions on the mathematical models and corresponding parameters also restrict the engineering application of SIMs (Li & Heap, 2011). Therefore, in order to improve the interpolation accuracy, Shi, Zheng, Tan, Yang, and Zhou (2019) combined the numerical simulation with experimental data and proposed numerical shape function (NSF) interpolation method. The construction process of NSF is given as: -As shown in Figure 11(a), for the finite element (FE) model of specimen's cross section, Shell 181 element is adopted for concrete, its thickness is 5 mm and has an area of 10×10 mm 2 .…”

Section: The Methods Of Numerical Shape Functionmentioning

confidence: 99%

Stressing State Characteristics of Reinforcement Concrete Box-Girders Strengthened With Carbon Fiber Reinforced Plastic

Xiao

Shi

Liu

et al. 2019

Journal of Civil Engineering and Management

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This paper investigates structural performance of five reinforcement concrete (RC) box-girders under a combination loading of bending, shear and torsion, applying the structural stressing state theory. The measured strain data is modeled as generalized strain energy density (GSED) to characterize the structural stressing state mode. Then the Mann-Kendall (M-K) criterion is innovatively applied to detect the leap characteristics of RC box-girders' stressing state from the E'-T curves, deriving the new definition of structural failure load. Furthermore, the reinforcement effects of different Carbon Fiber Reinforced Plastic (CFRP) wrapping schemes on the behaviors of experimental RC box-girders are revealed through comparing strain modes of stirrup and longitudinal reinforcement. Finally, the method of numerical shape function is applied to reasonably expand the limited strain data for further exploring the strain distribution of cross section and analyzing the stressing state characteristics of the RC box-girders. The research results provide a new angle of view to conduct structural analysis and a reference to the improvement of reinforcement scheme.

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Section: The Methods Of Numerical Shape Functionmentioning

confidence: 99%

Stressing State Characteristics of Reinforcement Concrete Box-Girders Strengthened With Carbon Fiber Reinforced Plastic

Xiao

Shi

Liu

et al. 2019

Journal of Civil Engineering and Management

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“…However, it still cannot provide a full expression of structural mechanical characteristics. In order to obtain detailed information about structural response based on experiments, the method of numerical shape function (NSF) was proposed [21], which can accurately interpolate/expand experimental data with clear physical significance.…”

Section: Methods Of Numerical Shape Functionmentioning

confidence: 99%

“…NSF is a new and effective interpolation method for interpolating experimental data field directly through conventional shape function [22,23] and finite element simulation. With reference to the interpolation method of thin plate splines (TPS) [21], this method applies the finite element (FE) simulation of a specific thin-plate model to obtain the numerical shape functions of sampled points. Then, the data at non-sampled points are acquired with the interpolation calculation of numerical shape functions and the sampled data.…”

Section: Methods Of Numerical Shape Functionmentioning

confidence: 99%

Investigation on Single Tube CFST Arch Models by Modeling Structural Stressing State Based on NSF Method

et al. 2019

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This paper investigated the behavioral characteristics of two single tube concrete-filled steel tube (CFST) arch models under different loads. Applying the numerical shape function (NSF) method, the limited strain data of arch models were interpolated to obtain more detailed strain information at unmeasured points. By numerically modeling and characterizing the structural stressing state of arches, these interpolated strains were calculated as the normalized strain energy density (SED) sum to plot the corresponding characteristic curves. Utilizing the Mann-Kendall (M-K) criterion, the qualitative characteristic load was detected from the curve and was referred to as the failure load, updating the existing definition of structural failure. Then, from the perspective of experimental strains, strain/stress fields, and stressing state submodes of internal forces obtained based on the NSF method, the working behavioral characteristics of each respective CFST arch model under loads were embodied in detail. The mutation features were distinguished from the development trend of strain/stress fields or distribution patterns of internal forces to verify the rationality of the updated failure load. Consequently, the NSF method can have a reasonable interpolation on the limited experimental data. By modeling structural stressing state, it can conduct an accurate estimation of the structural failure load and provide a reference for the future design of arch bridges.

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“…However, the existing interpolation methods are almost on the basis of mathematical methods or statistical methods and lack clear physical meanings, leading to unsatisfactory interpolation results. Therefore, the authors propose the thin-plate simulating interpolation (TSI) method, with reference to the interpolation method of Thin Plate Splines (TPS) [22,30]. TSI applies the FE simulation of a specific thin-plate model to obtain the discrete weighting functions of sampled points.…”

Section: Stressing State Analysis Based On the Interpolation Of Strainsmentioning

confidence: 99%

Stressing State Analysis on a Single Tube CFST Arch Under Spatial Loads

et al. 2019

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This paper analyzes the stressing state characteristics of a concrete-filled steel tubular (CFST) arch model under spatial loads, using the method of modeling structural stressing state and the thin plate simulating interpolation (TSI) method. Firstly, the parameter-generalized strain energy density (GSED) is applied to model the stressing state of the arch. Then, the normalized GSED sum at each load plots the characteristic curve. The characteristic loads P (66 kN) and Q (85 kN) in the curve are distinguished by the Mann–Kendall (M–K) criterion. To characterize structural axial and bending stressing states, the parameters of the sectional average strain and generalized bending strain are proposed as stressing state submodes. Finally, the TSI method is used to interpolate strain data for deep analysis of internal forces. By modeling the structural stressing state, the working behavior characteristics of arch structures are greatly revealed in a particular view and the results could provide a reference for the development of bridge design.

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Response simulating interpolation methods for expanding experimental data based on numerical shape functions

Cited by 15 publications

References 24 publications

Stressing State Characteristics of Reinforcement Concrete Box-Girders Strengthened With Carbon Fiber Reinforced Plastic

Stressing State Characteristics of Reinforcement Concrete Box-Girders Strengthened With Carbon Fiber Reinforced Plastic

Investigation on Single Tube CFST Arch Models by Modeling Structural Stressing State Based on NSF Method

Stressing State Analysis on a Single Tube CFST Arch Under Spatial Loads

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