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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Hickey, Daryl Masset, Luc Kerschen, Gaetan Bru¨ls, Olivier |
| Copyright Year | 2011 |
| Abstract | Analysing large scale, nonlinear, multiphysical, dynamical structures, by using mathematical modelling and simulation, e.g. Finite Element Modelling (FEM), can be computationally very expensive, especially if the number of degrees-of-freedom is high. This paper develops modal reduction techniques for such nonlinear multiphysical systems. The paper focuses on Proper Orthogonal Decomposition (POD), a multivariate statistical method that obtains a compact representation of a data set by reducing a large number of interdependent variables to a much smaller number of uncorrelated variables. A fully coupled, thermomechanical model consisting of a multilayered, cantilever beam is described and analysed. This linear benchmark is then extended by adding nonlinear radiative heat exchanges between the beam and an enclosing box. The radiative view factors, present in the equations governing the heat fluxes between beam and box elements, are obtained with a ray-tracing method. A reduction procedure is proposed for this fully coupled nonlinear, multiphysical, thermomechanical system. Two alternative approaches to the reduction are investigated, a monolithic approach incorporating a scaling factor to the equations, and a partitioned approach that treats the individual physical modes separately. The paper builds on previous work presented previously by the authors. The results are given for the RMS error between either approach and the original, full solution. |
| Sponsorship | Design Engineering Division and Computers and Information in Engineering Division |
| Starting Page | 407 |
| Ending Page | 418 |
| Page Count | 12 |
| File Format | |
| ISBN | 9780791854785 |
| DOI | 10.1115/DETC2011-48339 |
| Volume Number | Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B |
| Conference Proceedings | ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2011-08-28 |
| Publisher Place | Washington, DC, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Degrees of freedom Cantilever beams Finite element methods Modeling Thermomechanics Errors Heat Finite element model Simulation Ray tracing Flux (metallurgy) Finite element analysis Radiative heat transfer Principal component analysis |
| Content Type | Text |
| Resource Type | Article |
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