  The aim of this work is to propose a new multiphysics mode synthesis (MMS)
for the thermomechanical vibration problem. The present thermomechanical model
is based on a state-space formulation, which consists of displacement,
velocity, and temperature shift. The state-space based thermomechanical
formulation is symmetric unlike a conventional non-symmetric formulation. In
the proposed MMS, the structural variables are first reduced, which is then
applied to the coupling term in the thermal parts. A term of the thermal domain
is then reduced while preserving the multiphysics coupling effects, resulting
in improved accuracy. The proposed two-step MMS with the thermal physics domain
update can be implemented with the coupling term derived by using the residual
flexibility. The proposed MMS strategy can be also applied to accelerate the
computational speed by using independent parallel solvers. The performance of
the proposed MMS method is evaluated through numerical examples.
