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Dept. of Appl.Math @ ucc.ie |
All in oneThis Applet shows all the components, which were explained earlier, on a single screen. The pendulum has been replaced by an oscillator to avoid questions that may arise about the small angle approximation i.e. at angles greater
than  .
This applet uses the discrete Preisach hysteresis model, a
parallel connection of At any time when at least one relay is off the oscillator will be coloured light grey, the oscillator changes colour to dark grey when it reaches the upper threshold value. This is the point at which the "Preisach plane" is completely filled, at this point all relays are turned on. This threshold value is indicated on the time series plot by the horizontal line, above this line the trace will be dark grey and below light grey indicating that at least one relay is turned off. At this point the input output plot reaches a maximum, 1. When the oscillator position increases to the upper threshold value a point is added to the "Poincaré" map (bottom right) as explained earlier in the website. Waiting for a lot of change in the "Poincaré" map area is quite futile as points are not added very often in real time. This applet is intended only show how the separate pieces presented earlier are all related.
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relays. More pressing matters
prevent us from allowing interaction with the parameters involved.
In time an applet in which one can change between the continuous
and discrete model will be available. Variation of the magnitude
of hysteresis and threshold values will also be allowed. One will
also be able to change the number of relays in the discrete model.