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The papers focuses the choice of mathematical models of squeeze film dampers and methods their numerical implementations for gas turbine engines rotor dynamics problems. The present contribution is aimed to establish criteria when or another squeeze film damper formulation should be used, depending on the damper characteristics and operating conditions. The models are grouped by the dimension of the considered physical space, i.e. three-dimensional, two-dimensional and one-dimensional modelling patterns. The work presents the boundary conditions for mechanical seals to be adequately simulated. The numerical estimates for necessity of taking into account such physical phenomena as turbulence, fluid inertia, and cavitation are disclosed. The presented mathematical models are primarily developed for the computation of the integral characteristics of squeeze film dampers, such as reaction forces and dynamic stiffness and damping coefficients, required for solving rotor dynamics problems.
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