Elimination of periodic coefficients from the equations of motion of asymmetric shafts in anisotropic bearings

摘要

A method is given for eliminating periodic coefficients from rotordynamic systems in which imperfections are accounted for simultaneously in the stationary and rotating components. It is well known that periodic coefficients are unavoidable in such systems whether the equations of motion are formulated in the stationary frame or the rotating frame of reference. Since such equations are more difficult to solve compared to those with constant coefficients, it is desirable to devise a transformation procedure which eliminates periodic coefficients from the governing equations. In this paper, such a procedure is presented. A considerable simplification is thereby obtained of the equations of motion of rotating machinery in which imperfections exist stators and rotors.