Model calibration of locally nonlinear dynamical systems: Extended constitutive relation error with multi-harmonic coefficients

X. Hu; S Prabhu; Akshay Gupte; Sez  Atamturktur

doi:10.1108/EC-10-2017-0419

Model calibration of locally nonlinear dynamical systems: Extended constitutive relation error with multi-harmonic coefficients

X. Hu, S Prabhu, Akshay Gupte, Sez Atamturktur

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper aims to present an approach for calibrating the numerical models of dynamical systems that have spatially localized nonlinear components. The approach implements the extended constitutive relation error (ECRE) method using multi-harmonic coefficients and is conceived to separate the errors in the representation of the global, linear and local, nonlinear components of the dynamical system through a two-step process.

Original language	English
Pages (from-to)	466-490
Number of pages	25
Journal	Engineering Computations
Volume	36
Issue number	2
DOIs	https://doi.org/10.1108/EC-10-2017-0419
Publication status	Published - 11 Mar 2019

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10.1108/EC-10-2017-0419

ECRE NL revisionFinal published version, 2.67 MBLicence: Creative Commons: Attribution-NonCommercial-ShareAlike (CC BY-NC-SA)

Model Validation Analytics in Support of High-Consequence Decision Making
Gupte, A. (CoPI), Atamturktur, S. (Principal Investigator), Moysey, S. (CoPI), Brown, A. (CoPI) & McMahan, C. (Co-investigator)
1/09/15 → 31/08/18
Project: Project from a former institution

Cite this

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title = "Model calibration of locally nonlinear dynamical systems: Extended constitutive relation error with multi-harmonic coefficients",

abstract = "This paper aims to present an approach for calibrating the numerical models of dynamical systems that have spatially localized nonlinear components. The approach implements the extended constitutive relation error (ECRE) method using multi-harmonic coefficients and is conceived to separate the errors in the representation of the global, linear and local, nonlinear components of the dynamical system through a two-step process.",

author = "X. Hu and S Prabhu and Akshay Gupte and Sez Atamturktur",

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AB - This paper aims to present an approach for calibrating the numerical models of dynamical systems that have spatially localized nonlinear components. The approach implements the extended constitutive relation error (ECRE) method using multi-harmonic coefficients and is conceived to separate the errors in the representation of the global, linear and local, nonlinear components of the dynamical system through a two-step process.

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VL - 36

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JO - Engineering Computations

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Model calibration of locally nonlinear dynamical systems: Extended constitutive relation error with multi-harmonic coefficients

Abstract

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Model Validation Analytics in Support of High-Consequence Decision Making

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