Dynamic Modeling and Experimental Evaluation of the Power Loss of a Rotating System with the Angular Misalignment and Unbalancing Faults

The problem of power loss in rotating machinery subjected to the angular misalignment and unbalancing faults are of great importance in relevant industries. Therefore, in this study, evaluation of the power loss and bearing forces of a typical coupling-disk-shaft system with angular misalignment and unbalancing faults is conducted using a novel approach based on the multibody dynamics. In this concern, the flexible coupling is modeled by linear and torsional spring-damper elements. After introducing the model, the kinematic constraints as well as the general form of Euler-Lagrange equations of motion are expressed. Then, the generalized forces are derived in detail. The equations of motion are then solved numerically by the 5th order Runge-Kutta method to evaluate the system power loss. In addition, the effect of angular misalignment and unbalancing faults on the disk displacements as well as the bearing forces are discussed. In the next part of this study, the theoretical results of the power loss are verified experimentally on a faulty simulator system. For measuring the power consumption, a digital power analyzer is used. The results of this research highlight clearly how the power loss is affected by increasing the amount of the system rotational velocity, the angle of misalignment, and the unbalance mass.