Random unbalance response of rotor with CuO Nano Lubricants

Abstract

Random vibration of disc imbalance is a proper simulation model of many practical rotors such as fans, pumps, turbines, generators, and so on. The current investigation examines the consequences of arbitrary stimulation arising from the random imbalance of a rotating disc in the rotor. Such as the force of the air on the turbine fan and misalignment fluctuations in the rotating part, which cause random vibration. Random vibration is a non-deterministic phenomenon, so the specific response cannot be evaluated; rather, statistical methods are suitable. This objective is accomplished by utilizing white noise excitation. Furthermore, the differential of the equation representing the transfer function of the rotor is evaluated since it is essential in the analysis of random vibrations. By converting the physical properties into mathematical models, it becomes possible to examine the random response due to the random excitation of a rotating disc under various influences. Additionally, nanoparticles of copper oxide (CuO) are incorporated into SAE10W-30 oil in order to investigate their effects on random vibration. An analytical solution is used to solve the governing differential equations using MATLAB software, from which the power spectrum density PSD and standard deviation of the response are evaluated. Some experiments are conducted using a rotor model and a random vibration setup. The random excitation is stimulated by white noise. It is found that the best random response occurs in oil lubricant with 0,0527 g of CuO nanoparticles, and the standard deviation of the response is reversely affected by rotor rotation speed. Comparing theoretical and experimental results shows good agreement for evaluating power spectrum density (PSD) and the standard deviation of the response