Applying uncertainty quantification to structural systems: Parameter reduction for evaluating model complexity

Robert Locke, Shyla Kupis, Christopher M. Gehb, Roland Platz, Sez Atamturktur

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Different mathematical models can be developed to represent the dynamic behavior of structural systems and assess properties, such as risk of failure and reliability. Selecting an adequate model requires choosing a model of sufficient complexity to accurately capture the output responses under various operational conditions. However, as model complexity increases, the functional relationship between input parameters varies and the number of parameters required to represent the physical system increases, reducing computational efficiency and increasing modeling difficulty. The process of model selection is further exacerbated by uncertainty introduced from input parameters, noise in experimental measurements, numerical solutions, and model form. The purpose of this research is to evaluate the acceptable level of uncertainty that can be present within numerical models, while reliably capturing the fundamental physics of a subject system. However, before uncertainty quantification can be performed, a sensitivity analysis study is required to prevent numerical ill-conditioning from parameters that contribute insignificant variability to the output response features of interest. The main focus of this paper, therefore, is to employ sensitivity analysis tools on models to remove low sensitivity parameters from the calibration space. The subject system in this study is a modular spring-damper system integrated into a space truss structure. Six different cases of increasing complexity are derived from a mathematical model designed from a two-degree of freedom (2DOF) mass spring-damper that neglects single truss properties, such as geometry and truss member material properties. Model sensitivity analysis is performed using the Analysis of Variation (ANOVA) and the Coefficient of Determination R2. The global sensitivity results for the parameters in each 2DOF case are determined from the R2 calculation and compared in performance to evaluate levels of parameter contribution. Parameters with a weighted R2 value less than.02 account for less than 2% of the variation in the output responses and are removed from the calibration space. This paper concludes with an outlook on implementing Bayesian inference methodologies, delayed-acceptance single-component adaptive Metropolis (DA-SCAM) algorithm and Gaussian Process Models for Simulation Analysis (GPM/SA), to select the most representative mathematical model and set of input parameters that best characterize the system’s dynamic behavior.

Original languageEnglish (US)
Title of host publicationModel Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019
EditorsRobert Barthorpe
PublisherSpringer New York LLC
Pages241-256
Number of pages16
ISBN (Print)9783030120740
DOIs
StatePublished - Jan 1 2020
Event37th IMAC, A Conference and Exposition on Structural Dynamics, 2019 - Orlando, United States
Duration: Jan 28 2019Jan 31 2019

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Conference

Conference37th IMAC, A Conference and Exposition on Structural Dynamics, 2019
CountryUnited States
CityOrlando
Period1/28/191/31/19

Fingerprint

Sensitivity analysis
Mathematical models
Calibration
Uncertainty
Adaptive algorithms
Computational efficiency
Numerical models
Materials properties
Dynamical systems
Physics
Geometry

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Computational Mechanics
  • Mechanical Engineering

Cite this

Locke, R., Kupis, S., Gehb, C. M., Platz, R., & Atamturktur, S. (2020). Applying uncertainty quantification to structural systems: Parameter reduction for evaluating model complexity. In R. Barthorpe (Ed.), Model Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019 (pp. 241-256). (Conference Proceedings of the Society for Experimental Mechanics Series). Springer New York LLC. https://doi.org/10.1007/978-3-030-12075-7_28
Locke, Robert ; Kupis, Shyla ; Gehb, Christopher M. ; Platz, Roland ; Atamturktur, Sez. / Applying uncertainty quantification to structural systems : Parameter reduction for evaluating model complexity. Model Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. editor / Robert Barthorpe. Springer New York LLC, 2020. pp. 241-256 (Conference Proceedings of the Society for Experimental Mechanics Series).
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Locke, R, Kupis, S, Gehb, CM, Platz, R & Atamturktur, S 2020, Applying uncertainty quantification to structural systems: Parameter reduction for evaluating model complexity. in R Barthorpe (ed.), Model Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. Conference Proceedings of the Society for Experimental Mechanics Series, Springer New York LLC, pp. 241-256, 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019, Orlando, United States, 1/28/19. https://doi.org/10.1007/978-3-030-12075-7_28

Applying uncertainty quantification to structural systems : Parameter reduction for evaluating model complexity. / Locke, Robert; Kupis, Shyla; Gehb, Christopher M.; Platz, Roland; Atamturktur, Sez.

Model Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. ed. / Robert Barthorpe. Springer New York LLC, 2020. p. 241-256 (Conference Proceedings of the Society for Experimental Mechanics Series).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Locke R, Kupis S, Gehb CM, Platz R, Atamturktur S. Applying uncertainty quantification to structural systems: Parameter reduction for evaluating model complexity. In Barthorpe R, editor, Model Validation and Uncertainty Quantification, Volume 3 - Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. Springer New York LLC. 2020. p. 241-256. (Conference Proceedings of the Society for Experimental Mechanics Series). https://doi.org/10.1007/978-3-030-12075-7_28