# Using Vibration Measurements

The use of certain information about the response data to questions asked by the newcomer to vibration measurement. Here is a brief explanation for the following: Vibration as a machine condition indicator, troubleshooting charts and vibration of the human body.

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MEASURING VIBRATION
BY BRÜEL & KJÆR

Single, wide frequency band vibration measurements are a useful quick-look vibration indicator, which can be used for example when evaluating the general condition of a machine or the effectiveness of vibration isolation measures.

The actual level measured will be judged more or less severe by comparison with previously or subsequently measured levels or with published severity criteria. An example of the latter is shown in the drawing, extracted from standards and recommendations for judging the vibration severity of rotating machinery. (ISO 20816-1)

For diagnostic purposes, for example in the course of product development, frequency analysis is necessary. Some frequency components in the vibration frequency spectrum can be immediately related to particular forcing functions, for example, shaft rotation speeds, gear tooth meshing frequencies, etc.

We will almost always find additional significant frequency components in the spectrum which are also related to the fundamental motions. The most significant is usually harmonics (a multiple) of one of the fundamental frequencies. Harmonics often arise because of distortion of the fundamental frequencies or because the original periodic motion is not purely sinusoidal. If they coincide with the resonant frequencies of other machine elements, then possibly considerable vibration levels can result, which can become a major noise source or result in the transmission of high forces to other machine parts.

With gear wheels, tooth form deflection under load and tooth wear will give rise to a tooth meshing frequency component and harmonics.

Furthermore, sideband components are often generated around the tooth meshing frequency and harmonics, due to periodic variations such as eccentricity. The first upper and lower sidebands will appear at the tooth mesh frequency (ft) plus and minus the gear rotation frequency (fg), the second sidebands at ft ± 2fg, and so on. Around the tooth mesh harmonics, a similar pattern may be present (i.e. 2ft ±fg, etc.)

It is often impracticable to alter forcing frequencies (shaft speeds, gear ratios, etc.) so other methods of reducing undesirable vibration levels are used. For example. detuning the machine element (altering its resonant frequency) by changing its mass or stiffness; by attenuating the transmission of vibration with isolation materials, or by adding damping materials to reduce the vibration amplitude.

## Vibration as a Machine Condition Indicator

Machines seldom break down without warning, the signs of impending failure are usually present long before breakdown makes the machine unusable. Machine troubles are almost always characterized by an increase in vibration level which can be measured on some external surface of the machine and thus act as an indicator. The bathtub curve shown is a typical plot of vibration level against time that demonstrates this effect. With normal preventive maintenance, repairs are carried out at fixed intervals based on minimum life expectancy for wearing parts. By delaying repair until vibration levels indicate the need, but before a breakdown, unnecessary strip-down (which often promotes further faults) and production delays are avoided.

This "on condition" maintenance of machinery has proven to give an appreciable economic advantage by increasing the mean time between shutdown while still preventing the surprise and damaging effects of catastrophic failure during service. These techniques are now widely used especially in the continuous process industries.

The vibration level which may be allowed before undertaking a repair is best determined through experience. At present, the general opinion suggests that the "action level" should be set at two to three times (6 to 10 dB above) the vibration level considered normal.

We have already seen that with frequency analysis of vibration signals we can locate the source of many of the frequency components present. The frequency spectrum of a machine in a normal running condition can therefore be used as a reference "signature" for that machine. Subsequent analyses can be compared to this reference so that not only the need for action is indicated but also the source of the fault is diagnosed.

The diagnostic chart on the following two pages will help isolate the cause of excess vibration when the offending frequencies can be discovered through frequency analysis.

## Vibration and the Human Body

It has long been recognized that the effects of direct vibration on the human body can be serious. Workers can be affected by blurred vision, loss of balance, loss of concentration, etc. In some cases, certain frequencies and levels of vibration can permanently damage internal body organs.

Researchers have been compiling data over the last 50 years on the physiological effects of vibrating, hand-held power tools. The "white finger" syndrome is well known among forest workers handling chain saws. Gradual degeneration of the vascular and nervous tissue takes place so that the worker loses manipulative ability and feeling in the hands.

Standards recommend maximum allowable vibration spectra at the handles of hand-held power tools.

The first published international recommendation concerned with vibration and the human body is ISO 2631 — 1978 which sets out limitation curves for exposure times from 1 minute to 12 hours over the frequency range in which the human body is most sensitive, namely 1 Hz to 80 Hz. Later versions of the standard include more details.

The recommendations cover cases where the human body as a whole is subjected to vibration in three supporting surfaces, namely the feet of a standing person, the buttocks of a seated person, and the supporting area of a person lying down.

Three severity criteria are quoted:

1. A boundary of reduced comfort, applicable to fields such as passenger transportation, etc.
2. A boundary for fatigue-decreased efficiency, that will be relevant to vehicle drivers and machine operators, and
3. The exposure limit boundary, which indicates danger to health.

It is interesting to note that in the longitudinal direction, that is feet to head, the human body is most sensitive to vibration in the frequency range 4 to 8 Hz. While in the transverse direction, the body is most sensitive to vibration in the frequency range 1 to 2 Hz.

A battery-operated vibration meter dedicated to the measurement of vibratory motion concerning its ability to cause discomfort or damage to the human body is available.