The paper briefly describes the current state of distributed energy systems, which acts as an advanced supplier of electric and thermal energy to small towns, towns and villages, industrial enterprises, livestock farms, etc. The main working unit of this type of systems are micro turbine installations of low power. For these types of installations, the most critical and critical part is the rotary support unit. The article deals with the issues of modeling dynamic processes in rotor-bearing units in the presence of lobed gas-dynamic bearings with corrugated elements, which are currently promising supports for rotors of high-speed machines. A solution to the complex problem of calculating lobe gas-dynamic bearings based on a joint solution of gas dynamics, thermo physics and the theory of elasticity is presented. On the basis of the dynamics equations, a single-mass model of a rigid symmetric rotor on elastic supports consisting of several elastic-pliable layers: thin-walled lobes and corrugated elements is presented. The determination of the pressure field is based on the solution of the Reynolds equation, generalized to the case of a two-dimensional turbulent flow of a viscous compressible lubricant. Based on the expressions of the theory of elasticity, the problem of calculating the deformations of the lobe and the circular corrugated element of the lobe bearing under the action of gas-dynamic forces in the lubricating layer is considered. By linearization under the assumption of small displacements from the equilibrium position, based on the Taylor series expansion in the vicinity of the stationary position, the dependences of the stiffness and damping coefficients for this type of support are determined. In this case, the stiffness of the system "lubricating gas layer-petal-corrugated element" is represented as the sum of the successively connected: the stiffness of the gas lubricant layer, the stiffness of the elastic petal and the stiffness of the corrugated element. Damping system LGDP is the same way "lubricating air layer – petal – circular corrugated elements", which can be represented as the sum of series-connected dampers: a layer of gas lubrication, damping and damping petal corrugation. The article presents the stiffness and damping coefficients calculated by this method, depending on the ratio of the excitation frequency of the rotor pin to the angular velocity.