The stability of a gas-dynamic thrust bearing with spiral grooves is investigated as a function of the number of grooves. The Reynolds equation, together with boundary conditions and the equation of rotor motion, are discretized with respect to the spatial variables by the Bubnov-Galerkin method and reduced to a nonlinear system of ordinary differential equations. The stationary point of this system is determined by Newton's method. The system of differential equations is linearized at the stationary point, and reduced to normal form; then the eigenvalues of the resulting system are calculated. On that basis, the margin of stability of the rotor-bearing system is found, and its dependence on the number of grooves is investigated.
展开▼
