Catalogue Unisorb - Foundation Isolation Solutions
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sibility Chart shown below. This is the classical transmis-sibility curve which shows the relationship between forc­ing frequency, natural frequency, and the transference of mechanical energy by the vibration isolation system being analyzed.
Note there are three separate curves, one for each of three levels of damping. The damping coefficient refers to the rate at which the system absorbs energy. The higher the coefficient of damping the more energy is consumed in the operation of the system. The damping coefficient is determined by the performance characteristics of the isolation material.
Let's assume that the system we are dealing with is a simple mass/spring system with only one degree of free­dom. The foundation/machine/isolator system can be rep­resented by a mass (the machine and foundation) suppor­ted by a deflectable element (the isolation system), with a parallel damping element.
The variables represented are as follows.
Transmissibility: A non-dimensional ratio of the amplitude of the response of an isolation system in steady state forced vibration to the input of that system.
Natural Frequency: The rate at which the system would naturally vibrate expressed in Hz (Hertz) if set into motion and allowed to continue in motion without outside interfer­ence. The primary factor determining the natural frequen­cy of any isolation system is the load/deflection character­istic (or spring rate) of the deflectable element chosen for the isolator. The value for the natural frequency of the il­lustrated system is given by: 1/(2Tf )Vg/K.
Forcing Frequency: The frequency (Hz) at which an ex­ternally applied excitation or "disturbance" is applied. The forcing frequency is also sometimes referred to as the "disturbing frequency".
Forcing to Natural Frequency Ratio: The product of an externally applied excitation (Forcing Frequency in Hz), divided by the system's natural frequency in Hz.
Resonance: A condition where the natural frequency of the isolation system and the forcing frequency match. This causes a resonant condition which is very detrimen­tal to the operation of a machine (or many machines).
Deflectable Element
: j Damper
Mass
Note that at the left side of the chart the curve in­tersects the vertical axis at a value of 1. This indi­cates that for very low forcing to natural frequen­cy ratios the amplitude of the mechanical input to the system is equal to the output from the system. As the forcing frequency to natural frequency be­comes larger, the trans­missibility becomes great­er, in that the output of the system is larger than the input. More simply put, the system is amplifying the input. This condition reaches its maximum when the forcing frequen­cy ratio reaches 1:1. At this point the system is said to be in "resonance", and its output is theoreti­cally infinite. In the real world energy is consumed by the system components and the actual amplifica­tion seen is limited.
A TYPICAL EXAMPLE USING A 3:1 RATIO WITH A10% COEFFICIENT OF DAMPING YIELDS A SYSTEM EFFICIENCY OF 85% (15% TRANSMISSIBILITY)
100' 80
60
40
30
20
Damping = 0.01 Damping = 0.10 Damping = 0.20
0.1
0.2 0.3 0.4 OS 0.8 1 2
RATIO (Ff/Fn)
3 4
5 8 10
TRANSMISSIBILITY CHART
4
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