Research Of Dynamics Characteristics Analysis & Optimization On High Speed Rotating System

With the development of industries and the society, the rotating machines are speeding up and their performances are enhanced greatly, such as the steamers, aeroengines, compressors and other kinds of machines. As the speed up of rotating and the better performaces, the weight of components is lightened and load increased. The vibrations of rotating machines became the key issues to pay people's attentions. Vibrations of high-speed rotating machines are so complex that the researchs of them become more important. Therefore, it is an important application foundation subject for promoting the developments and applications of high-speed rotating machines and has a very important theorial and realistic meaning to bring high-speed rotating machines into technological advantage, economic advantage and society advantage further.Studying the dynamics model and modeling method suit to the characteristics of high-speed rotating, based on Timoshenko theory, and using finite element method (FEM) and Lagrange's equation, the dynamics model of high-speed rotating system with muti-degrees of freedom is set up, with respect to the influence of rotating inertia, gyroscopic moment, cutting deformation, unbalance and damping of materials.Based on the model proposed previously, the natural frequencies, frequency response function (FRF), critical speed and impetus responses are studied which prepares for the researchs of system stabilities and optimization. Thereinto, the resoluting method of the unsymmetric eigenvalues of undamped and damped linear systems—essential reducing method (ERM) educing from the generalized Arnoldi method (GAM), is discussed emphasizedly. In addition, the conception of restart-up is proposed, and the reducing arithmetic turns into the perfect method for determining the unsymmetric eigenvalues. The dynamics characteristics of an example are analysed with ANSYS software by the method proposed previously.Be based upon the dynamics model established and dynamics characteristics analysis of the model, handling Lyapunov stability theorem and stability criterion, the connections between gyroscopic moment and the stability of high-speed system are...