Dynamic Analysis Of Rotor System Based On Finite Element Method

Rotary machinery is main driving equipment in pillar industry such as electric power, petrochemical industry, iron and steei, their vibration and dynamics problems are key technology that related to enterprise manufacture regularly and equipment safe. The rotor system, the mainly parts of the rotary machinery, is taken as research object in this thesis, and gives the introduction of its eddy motion. The thesis analyzed the imbalance response of rotor based on movement differential equation of a simple rotor system, and the effect to the rotor system caused by the elastic support.With combining finite element method and Lagrange equation, build the dynamical control equation of random rigid disk element, shaft element and bearing, then combination aggregate them educes the dynamical control equation of rotor system. After gained the movement differential equation, which broad sense coordinate is node displacement, a mass series distributing rotor vibration issue can be transformed into finite DOF system's vibration issue. Critical rotate speed and imbalance response can be solved through calculating a set of linear algebra equation.The thesis, based on finite element method, used Newmarkβmethod of numerical value integral, numerical value calculated the dynamical control equation of rotor system, compiled calculation process of critical rotate speed and imbalance response with Matlab, gained and analyzed dynamical response curve; contrasted the result by ANSYS, validated model built and dynamical control equation, offered the theory foundation of the rotor system control.