A new measure of efficiency for model reduction: Application to a vibroimpact system

The aim of this paper is to propose a new way to measure the efficiency of the proper orthogonal decomposition (POD) to construct a reduced-order model in Structural Dynamics. It investigates the efficiency of three reduced-order models for a vibroimpact problem: (1) PODdir-basis, which is the basis...

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Detalles Bibliográficos
Autores: Ritto, T.G., Buezas, Fernando Salvador, Sampaio, Rubens
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/66905
Acceso en línea:http://hdl.handle.net/11336/66905
Access Level:acceso abierto
Palabra clave:model reduction
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
Descripción
Sumario:The aim of this paper is to propose a new way to measure the efficiency of the proper orthogonal decomposition (POD) to construct a reduced-order model in Structural Dynamics. It investigates the efficiency of three reduced-order models for a vibroimpact problem: (1) PODdir-basis, which is the basis constructed using the direct method of the proper orthogonal decomposition; (2) PODsnap-basis, which is the basis constructed using the snapshot method of the POD; and (3) LIN-basis, which is the basis composed by the normal modes of the associated linear (LIN) conservative system. The efficiency is measured in terms of (1) number of elements to represent the dynamics with a given precision and (2) computational cost to simulate the time response within a given precision. © 2010 Elsevier Ltd. All rights reserved.