Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model Order Reduction for Temperature-Dependent Nonlinear Mechanical
  Systems: A Multiple Scales Approach   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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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas