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Machine Vibration Measurement

Abstract

This paper presents the methods of measuring vibration of systems. During the development stage of machines, many factors are needed to be considered and taken into account and problems that arise due to miss-computation of parts that cause vibration in systems. Measurement is a critical component in machine design. The sole purpose of this measurement analysis is that if it is feasible to lower the risk of machine failures due to vibration. Many measuring fundamentals are used to measure the vibration of systems. The measurements are taken by transducers.



Nomenclature
A - The radius of the circular orbit traveled
C - Damping coefficient
F - Centrifugal force
fn - Natural frequency in hertz
g - Gravitational constant
K - Stiffness a property of a solid body
M - Mass of body
r – Radius by the point under examination
t - Time in seconds
W - Unbalance weight
x(t) - Displacement of a point as a function of time
ẋ(t) - Velocity of a point as a function of time
ẍ(t) - Acceleration of a point as a function of time
ω - Angular velocity
ω1 - Rotational speed

Introduction
In the 21st century, most of the machinery we use is controlled by a unique system. These systems are used in the engineering, medical, or business fields. The continuing trend toward development of powerful machinery that operates at high speeds needs accurate measurement techniques before the deployment of machinery in the fields. Imagine a crawler dozer automobile equipped with a Pipe-Layer that can carry around thousands of pounds, suddenly fails. The damage that will be caused by the crawler dozer might include casualties, cost of repair, and the project may suffer a delay. In order to minimize the risk of these forms of disasters, it is required...