The Proper Generalized Decomposition With Application In Problems Of Dynamics

Germoso Núñez, Claudia del Carmen and Hermanns, Lutz Karl Heinz and Vega Domínguez, Jaime and Alarcón Álvarez, Enrique and Fraile de Lerma, Alberto (2013). The Proper Generalized Decomposition With Application In Problems Of Dynamics. In: "Congreso de Métodos Numéricos en Ingeniería - CMN 2013", 28-28 junio 2013, Bilbao, España. pp. 1-14.

Description

Title: The Proper Generalized Decomposition With Application In Problems Of Dynamics
Author/s:
  • Germoso Núñez, Claudia del Carmen
  • Hermanns, Lutz Karl Heinz
  • Vega Domínguez, Jaime
  • Alarcón Álvarez, Enrique
  • Fraile de Lerma, Alberto
Item Type: Presentation at Congress or Conference (Article)
Event Title: Congreso de Métodos Numéricos en Ingeniería - CMN 2013
Event Dates: 28-28 junio 2013
Event Location: Bilbao, España
Title of Book: Congreso de Métodos Numéricos en Ingeniería - CMN 2013
Date: 2013
Subjects:
Freetext Keywords: Proper Generalized Decomposition, Numerical methods, Curse of dimensionality, Separated representation, Multidimensional models
Faculty: E.T.S.I. Industriales (UPM)
Department: Ingeniería Mecánica
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we address the new reduction method called Proper Generalized Decomposition (PGD) which is a discretization technique based on the use of separated representation of the unknown fields, specially well suited for solving multidimensional parametric equations. In this case, it is applied to the solution of dynamics problems. We will focus on the dynamic analysis of an one-dimensional rod with a unit harmonic load of frequency (ω) applied at a point of interest. In what follows, we will present the application of the methodology PGD to the problem in order to approximate the displacement field as the sum of the separated functions. We will consider as new variables of the problem, parameters models associated with the characteristic of the materials, in addition to the frequency. Finally, the quality of the results will be assessed based on an example.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainBIA 28380-C02-02UnspecifiedSpanish Ministry of Science and InnovationUnspecified

More information

Item ID: 38283
DC Identifier: http://oa.upm.es/38283/
OAI Identifier: oai:oa.upm.es:38283
Official URL: http://congress.cimne.com/cmn_2013/frontal/default.asp
Deposited by: Memoria Investigacion
Deposited on: 25 Jan 2016 16:54
Last Modified: 25 Jan 2016 16:54
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