Analysis of Vibration in Rotating Machinery Structures - Report

This technical report provides a comprehensive overview of vibration analysis in rotating machinery. It begins by defining vibration and its significance in maintenance engineering, emphasizing the importance of analyzing vibration in machine elements. The report delves into the mathematical models used to describe vibration, including dynamic parameters, and explores various analysis methods, such as Rayleigh's method and Newton's Second Law. It examines both free and forced vibrations, as well as damped and undamped vibrations, and the use of accelerometers and velocity transducers for measurement. The report also discusses the dangers of uncontrolled vibration, provides real-world examples, and highlights the potential for resonance. It concludes with the possible areas of application of the vibration system in real world and how resonance cab be avoided in any machine having rotating element, emphasizing the role of vibration analysis in predicting machine lifespan and optimizing maintenance practices. The report also includes MATLAB plots illustrating undamped and damped vibration, as well as the effects of resonance, and the use of finite element analysis.