In this paper, new mathematical model has been developed for the cylindrical roller bearing by considering coupled influence of radial deflection due to normal loading, roller titling, roller skewing, radial clearance, and also individual as well as coupled inner and outer race defects. Novel defect function is also developed for inner and outer race defects based on literature, to make a set of nonlinear equations for mathematical model, which are solved by using MATLAB. Newmark-β method is applied to solve the equation of motion. The results are plotted in time domain, velocity-displacement, and envelope analysis. The obtained results show the sensitiveness of the system with the variations in speed for the inner, outer, and combined inner–outer race defects. The peak displacement, velocity, and acceleration have been observed for various defects which are helpful to obtain the system’s dynamic behavior under speed varying condition for combined radial and axial load. A major finding of this paper is regarding the understanding of the system’s behavior like periodic to chaotic under varying speed conditions with the attention of individual and coupled inner and outer race defects with the inclusion of normal loading, tilting, skewing, and radial clearance effect and validation of simulated results with the calculated one.
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