Journal
JOURNAL OF SOUND AND VIBRATION
Volume 465, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2019.115022
Keywords
Model order reduction; Thermo-mechanical systems; Adaptive reduction basis; Method of multiple scales
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Funding
- Air Force Office of Scientific Research, Air Force Material Command, USAF [FA9550-16-1-0096]
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The thermal dynamics in thermo-mechanical systems exhibits a much slower time scale compared to the structural dynamics. In this work, we use the method of multiple scales to reduce the thermo-mechanical structural models with a slowly-varying temperature distribution in a systematic manner. In the process, we construct a reduction basis that adapts according to the instantaneous temperature distribution of the structure, facilitating an efficient reduction in the number of unknowns. As a proof of concept, we demonstrate the method on a range of linear and nonlinear beam examples and obtain a consistently better accuracy and reduction in the number of unknowns than the standard Galerkin projection using a constant basis. (C) 2019 Elsevier Ltd. All rights reserved.
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