A method for the quantification of model form error associated with physical systems.

Wallen, Samuel P.; Brake, Matthew Robert

doi:10.2172/1200659

Title: A method for the quantification of model form error associated with physical systems.

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Abstract

In the process of model validation, models are often declared valid when the differences between model predictions and experimental data sets are satisfactorily small. However, little consideration is given to the effectiveness of a model using parameters that deviate slightly from those that were fitted to data, such as a higher load level. Furthermore, few means exist to compare and choose between two or more models that reproduce data equally well. These issues can be addressed by analyzing model form error, which is the error associated with the differences between the physical phenomena captured by models and that of the real system. This report presents a new quantitative method for model form error analysis and applies it to data taken from experiments on tape joint bending vibrations. Two models for the tape joint system are compared, and suggestions for future improvements to the method are given. As the available data set is too small to draw any statistical conclusions, the focus of this paper is the development of a methodology that can be applied to general problems.

Authors:

Wallen, Samuel P. ^[1]; Brake, Matthew Robert ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:: Sat Mar 01 00:00:00 EST 2014

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1200659

Report Number(s):: SAND2014-2373
505418

DOE Contract Number:: AC04-94AL85000

Resource Type:: Technical Report

Resource Relation:: Conference: Naples (Italy), 3-5 Jun 2014

Country of Publication:: United States

Language:: English

Citation Formats


                    Wallen, Samuel P., and Brake, Matthew Robert. A method for the quantification of model form error associated with physical systems..  United States: N. p., 2014. 
        Web.  doi:10.2172/1200659.

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                    Wallen, Samuel P., & Brake, Matthew Robert. A method for the quantification of model form error associated with physical systems..  United States.  https://doi.org/10.2172/1200659

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                    Wallen, Samuel P., and Brake, Matthew Robert. 2014.  
        "A method for the quantification of model form error associated with physical systems.".  United States.  https://doi.org/10.2172/1200659.  https://www.osti.gov/servlets/purl/1200659.

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@article{osti_1200659,

  title        = {A method for the quantification of model form error associated with physical systems.},

  author       = {Wallen, Samuel P. and Brake, Matthew Robert},

  abstractNote = {In the process of model validation, models are often declared valid when the differences between model predictions and experimental data sets are satisfactorily small. However, little consideration is given to the effectiveness of a model using parameters that deviate slightly from those that were fitted to data, such as a higher load level. Furthermore, few means exist to compare and choose between two or more models that reproduce data equally well. These issues can be addressed by analyzing model form error, which is the error associated with the differences between the physical phenomena captured by models and that of the real system. This report presents a new quantitative method for model form error analysis and applies it to data taken from experiments on tape joint bending vibrations. Two models for the tape joint system are compared, and suggestions for future improvements to the method are given. As the available data set is too small to draw any statistical conclusions, the focus of this paper is the development of a methodology that can be applied to general problems.},

  doi          = {10.2172/1200659},

  url          = {https://www.osti.gov/biblio/1200659},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Sat Mar 01 00:00:00 EST 2014},

  month        = {Sat Mar 01 00:00:00 EST 2014}

}

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