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arXiv · 1903.02073

Model Order Reduction for Temperature-Dependent Nonlinear Mechanical Systems: A Multiple Scales Approach

Shobhit Jain·Paolo Tiso
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Abstract

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 unknown. 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 standard the Galerkin projection using a constant basis.

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Shobhit Jain, Paolo Tiso. 2019-03-05. Model Order Reduction for Temperature-Dependent Nonlinear Mechanical Systems: A Multiple Scales Approach. https://doi.org/10.1016/j.jsv.2019.115022

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