Effect of Random Vibration of Rotor Supports with Nano Additives Lubricants

Rotors in various industries often encounter diverse vibrations from their supports, posing potential dangers to system integrity. The present study focuses on the effects of arbitrary stimulation brought on by random vibrations caused by supports, which necessitate statistical methods for evaluation due to their non-deterministic nature. Through white noise excitation, static ergodic random vibrations were simulated, employing mathematical modeling to derive the transfer function equation of the rotor. The investigation extended to examining the impact of copper oxide (CuO) nanoparticles in SAE10W-30 lubricant on random vibrations. Analytical solutions, facilitated by MATLAB software, were employed to solve the governing differential equations, enabling the evaluation of power spectrum density (PSD) and the standard deviation of responses. The experimental investigation of the rotor model reflected the validation of the mathematical model, especially for random vibration analysis. Reductions in standard deviation values suggested that including CuO-NPs caused a more symmetric distribution of responses in the x and y directions, which is intriguing, improving stability and reducing wear due to the effect of CuO nanoparticles on vibration characteristics. The best CuO-NPs weight was 0.0527g at a dynamic viscosity of 0.0593 Pa·s, and the PSD value reached its minimum value. This conclusion implies that using CuO-NPs can decrease the effect of random vibration on the rotor and increase the life span of the rotating machinery system in practical applications.