Dynamic Characteristics of Rotor System with a Slant Crack Based on Fractional Damping

Abstract The traditional modeling method of rotor system with a slant crack considers only integer-order calculus. However, the model based on calculus can merely describe local characteristics, not historical dependent process. occur fractional order just makes up for deficiency in Therefore, new dynamic damping is proposed. Here, stiffness solved by zero stress intensity factor method. proposed simulated Runge-Kutta and continued fraction Euler influence order, rotating speed, depth characteristics discussed. simulation results show that amplitude torsional excitation frequency increases significantly increase order. With first harmonic component becomes gradually larger, second smaller, while other components almost invariant. shaft orbit changes from an internal 8-type shape to ellipse-type without overlapping. depth, transverse response increases, also significantly. In addition, coupling occur. further verified experiment. valuable conclusion provide important guideline fault diagnosis crack.