Dynamic response analysis of unbalanced rotor-bearing system with internal radial clearance
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Dynamic response analysis of unbalanced rotor‑bearing system with internal radial clearance V. R. Patil1 · P. V. Jadhav1 Received: 27 April 2020 / Accepted: 29 September 2020 © Springer Nature Switzerland AG 2020
Abstract This paper presents a dynamic model to predict the rotor-bearing system’s vibration characteristics using Dimensional Analysis (DA). A small increment in rotor unbalance, and radial clearance can cause multiple faults, ultimately causing catastrophic failure. Hence, this model considers the influence of rotor unbalance and radial clearance on the dynamics of the rotor-bearing system. Experimental investigation reveals the effects of multiple defects at different rotor speeds. Employed Response Surface Method (RSM) correlates the clearance, unbalance, and rotor speed. Comparing experimental results with the RSM and DA indicates the effectiveness of the proposed methodology for condition monitoring of high-speed machinery in process industries. Keywords Unbalance · Clearance · Dimension analysis (DA) · Response surface method (RSM)
1 Introduction Rotating machinery used in processing industries is designed for high speeds, tight tolerances, and high reliability to transmit maximum power under different working conditions. The designing of such a system is necessary to maximize the equipment’s life to improve its overall performance. The rotor-bearing systems of modern machinery are complex, requiring a reliable and accurate prediction of their fluctuating dynamic characteristics. The fault diagnosis and detection play an important role in the reliability of high-speed machinery [1, 2]. The vibration monitoring is gaining importance nowadays because of its accuracy and reliability. The vibration monitoring system with an advanced data acquisition system uses robust sensors and gives accurate and reliable signals widely used for early prediction of possible faults. However, the effectiveness of these systems is affected by unwanted noise and other sources of vibrations. Furthermore, the faulty rotor-bearing system exhibits multiple harmonics while
running at a particular frequency. The dynamic behavior of the rotor-bearing system is affected by nonlinearities arising during operating conditions. There are many studies carried out on the dynamic analysis of rotating machinery with different analytical models. The analytical model possesses generalization of the solution, no need for in-depth understanding, and nonessential access to the physical process for modeling. Experimental modeling possesses a high degree of accuracy within the investigational limit and more straightforward application to systems having unknown underlying physics. However, many experimental runs are often required to characterize and improve the process, which may be a costly scheme. The benefits of both are combined by a semi-analytical or semi-experimental modeling approaches such as Dimensional analysis giving high interpolative and extrapolative accuracy with few experimental runs. Since this depends on experimental data
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