A review on empirical mode decomposition in fault diagnosis of rotating machinery

Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples

Wavelet transform based on inner product in fault diagnosis of rotating machinery: A review

Dynamic modeling of gearbox faults: A review

Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set

Vibration response of misaligned rotors

Influence of crack breathing model on nonlinear dynamics of a cracked rotor

Time-varying mesh stiffness is a periodic function caused by the change of the number of the contact tooth pairs and the contact positions of the gear teeth. In this study, we have derived the analytical equations of the time-varying mesh stiffness of a planetary gear set using the potential energy method. Three simulations are conducted with a common planetary gear set under fixed carrier, fixed ring gear, and fixed sun gear. The results indicate that the obtained time-varying mesh stiffness can reflect the stiffness variation, and the proposed approaches can be extended in the future to model the stiffness of a planetary gear set when faults are introduced.

Evaluating the Time-Varying Mesh Stiffness of a Planetary Gear Set Using the Potential Energy Method

Multivariate EMD and full spectrum based condition monitoring for rotating machinery

Interaction of a rotor with a stationary part is a kind of serious malfunction that could result in a catastrophic failure if remained undetected. Past analytical and numerical simulation work on rotor–stator interactions mainly focus on the vibrations along the lateral directions. The torsional degree of freedom (dof) is usually ignored. The present work is aimed to study the influence of a rotor to stator contact on the lateral-torsional coupled vibrations. A mathematical model consisting of interacting vibratory systems of rotor and stator is presented. The contact is modeled using contact stiffness, damping and Coulomb friction. Equations derived for kinetic, potential and dissipation energies and non-conservative external forces are used in the Langrange’s equations for deriving the motion equations for the rotor–stator system. Equations revealed that the lateral-torsional motion coupling exists twofold for the rotor. The unbalance couples lateral-torsional motion of rotor through inertia and damping matrices. Coupling due to the rotor–stator friction occurs through a force vector. The nonlinear equations are solved using a Runge–Kutta fourth-order numerical integration scheme using relatively small time step. Results obtained through the proposed model are compared with the identical rotor–stator system without torsional dof and differences are identified. Effect of several parameters such as speed, relative inertia, coefficient of friction and contact damping on the bifurcation behavior of the rotor–stator motion has been investigated. Vibration motions presented in the forms of spectrum cascade of the coast-up response, and orbit and Poincare plots of the steady-state response are exhibiting rich dynamic behavior of the system.

Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator

Tejas H. Patel

Papers

Vibration response of misaligned rotors

Influence of crack breathing model on nonlinear dynamics of a cracked rotor

Evaluating the Time-Varying Mesh Stiffness of a Planetary Gear Set Using the Potential Energy Method

Multivariate EMD and full spectrum based condition monitoring for rotating machinery

Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator