Cantilever rotor is the key component part of mechanical equipment. Based on the failure mode of dynamic response of the cantilever rotor, the ensitivity factors which affect structure reliability, such as load, size of structure, properties of materials, are analyzed. The utmost equations of the cantilever rotor in both static and dynamic states are built. Each equation is linearized at the average point by Taylor Expansion scheme. The reliability of structure is calculated by employing the theory of the primary second moment. The reliability results of considering and ignoring the inertial force respectively are compared mutually and analyzed. Then, an effective reliability analysis method for cantilever rotor is established.
The nonlinear dynamic behavior of the slideway-joint system of machine tools is studied. Taking into account the hysteretic characteristics of this system in contact vibration, a mathematical model for dynamic analysis is established. By means of asymptotic method, the coefficients of damping and stiffness equivalent to the hysteresis are obtained. Range-Kutta method is used to solve the system equation. The nonlinear dynamic responses of the guideway-joint system for different damping coefficients are discussed. The result shows that the chaotic vibration will occur when the damping oefficient varies in some range.