  In the design process of large adaptive mirrors numerical simulations
represent the first step to evaluate the system design compliance in terms of
performance, stability and robustness. For the next generation of Extremely
Large Telescopes increased system dimensions and bandwidths lead to the need of
modeling not only the deformable mirror alone, but also all the system
supporting structure or even the full telescope. The capability to perform the
simulations with an acceptable amount of time and computational resources is
highly dependent on finding appropriate methods to reduce the size of the
resulting dynamic models. In this paper we present a framework developed
together with the company Microgate to create a reduced order structural model
of a large adaptive mirror as a preprocessing step to the control system
simulations. The reduced dynamic model is then combined with the remaining
system components allowing to simulate the full adaptive mirror in a
computationally efficient way. We analyze the feasibility of our reduced models
for Microgate's prototype of the adaptive mirror of the Giant Magellan
Telescope.
