  This paper presents a parametric Model Order Reduction (MOR) method for
weakly coupled thermo-mechanical Finite Element (FE) models of machine tools
and other similar mechatronic systems. This work proposes a reduction method,
Krylov Modal Subspace (KMS), and a theoretical bound of the reduction error.
The developed method addresses the parametric dependency of the convective
boundary conditions using the concept of system bilinearization. Additionally,
this paper investigates the coupling between the reduced-order thermal system
and the mechanical response. A numerical example shows that the reduced-order
model captures the response of the original system in the frequency range of
interest.
