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Nonintrusive reduced order model for parametric solutions of inertia relief problems

Fabiola Cavaliere, Sergio Zlotnik, Rubén Sevilla Orcid Logo, Xabier Larráyoz, Pedro Díez

International Journal for Numerical Methods in Engineering, Volume: 122, Issue: 16, Pages: 4270 - 4291

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1002/nme.6702

Abstract

The Inertia Relief (IR) technique is widely used by industry and produces equilibrated loads allowing to analyze unconstrained systems without resorting to the more expensive full dynamic analysis. The main goal of this work is to develop a computational framework for the solution of unconstrained p...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56712
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Abstract: The Inertia Relief (IR) technique is widely used by industry and produces equilibrated loads allowing to analyze unconstrained systems without resorting to the more expensive full dynamic analysis. The main goal of this work is to develop a computational framework for the solution of unconstrained parametric structural problems with IR and the Proper Generalized Decomposition (PGD) method. First, the IR method is formulated in a parametric setting for both material and geometric parameters. A reduced order model using the encapsulated PGD suite is then developed to solve the parametric IR problem, circumventing the so-called curse of dimensionality. With just one offline computation, the proposed PGD-IR scheme provides a computational vademecum that contains all the possible solutions for a predefined range of the parameters. The proposed approach is nonintrusive and it is therefore possible to be integrated with commercial finite element (FE) packages. The applicability and potential of the developed technique is shown using a three-dimensional test case and a more complex industrial test case. The first example is used to highlight the numerical properties of the scheme, whereas the second example demonstrates the potential in a more complex setting and it shows the possibility to integrate the proposed framework within a commercial FE package. In addition, the last example shows the possibility to use the generalized solution in a multi-objective optimization setting.
Keywords: inertia relief; nonintrusive; proper generalized decomposition; reduced order model; shape optimization
College: College of Engineering
Funders: UKRI Engineering and Physical Sciences Research Council; Generalitat de Catalunya; H2020 Marie Skłodowska-Curie Actions; Ministerio de Economía y Competitividad
Issue: 16
Start Page: 4270
End Page: 4291