TY - JOUR
T1 - Model order reduction for temperature-dependent nonlinear mechanical systems
T2 - A multiple scales approach
AU - Jain, Shobhit
AU - Tiso, Paolo
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Adaptive reduction basis
KW - Method of multiple scales
KW - Model order reduction
KW - Thermo-mechanical systems
UR - http://www.scopus.com/inward/record.url?scp=85073740448&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2019.115022
DO - 10.1016/j.jsv.2019.115022
M3 - Article
AN - SCOPUS:85073740448
SN - 0022-460X
VL - 465
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
M1 - 115022
ER -