Vibration analysis of large turbo-generator stator system

Two kinds of three-dimensional coupled dynamical equations of coaxial circular cylindrical double-shell systems are derived from the two forms of three-dimensional circular cylindrical dynamical government equations. The method is a semi-analytical solution. The characteristics in the present approach are that three-dimensional government equations of elasticity are presented by the canonical equations of Hamilton without any initial assumptions, and the thickness of the shell is not restrained. Meanwhile, the method is similar to the general finite element method (FEM) for complex boundary conditions, but unknowns are less than that of general FEM. In order to apply the approach to analyze the forced response of a large turbogenerator, the Maxwell stress equations are used to determine the distribution of electromagnetic forces at the surface of the stator bore. With the present method, the speed of analysis is quick and the preparation of data is convenient. The method is suited to engineering. The analysis of large turbogenerator stator system oscillations explained the correctness of the method.