... system. 28 12 2009 22 06 2010 03 12 2010 03 12 2010 damping elastic constants force harmonics Jacobian matrices machine bearings Newton-Raphson method rotors vectors vibrations For a tilting-pad journal bearing used in practice, the static loads (gravity, gear...

... equations with tri-diagonal coefficient matrices. Meanwhile, an amendatory direct-method is proposed to solve the united equations about fluid forces and their Jacobian matrices, rapidly and synchronously. The Reynolds boundary condition has to be satisfied automatically during the process. Secondly...

... a perturbation can be performed directly on the finite element equation and, consequently, the Jacobian matrices of the oil film forces are obtained concisely. The equilibrium position of the bearing at a given static load is found by the Newton-Raphson method and, as byproducts, dynamic coefficients...