Polygon Vibration Fields

6 / 30 / 2016
Reference:  Polygon Self Resonance

It was noticed, when setting up close rings of 8 sided vibration on a CD ROM, one can take a segment length and move outwards away from the disc finding points of diameter where an 89 50 type field will form.
This stimulated an investigation into the dynamics of why the 89 50 works, and if we can get better accuracy based on this interaction, where segment length inside to outside is the constant.

8950-New Calculation

The first realization from using this field on the 2003 Toyota RAV is that the inertial resistance to motion is being manipulated to turn 90 degrees.
When the field is accelerated, the inertial resistance along the spin motion is shifted inwards and outwards using the 89 50 ratio to set up resonant diameters.
If we use the ratio configured as above on an engine at the radius of the cranks piston offset, the energy is thrown outwards at 90 degrees to spin motion.
Resistance to spin accelerations decreases in the inertial field. The engine smooths out and accelerates much faster then normal.

Calculating the segment lengths on each of the polygons, we discover they are almost exactly the same lengths. Meaning a vibration coupling forms between the two circles interacting at 90 degrees to motion of the crank.
In the original formula the second radius is found at 89 / 50 of the first radius.

RAV Crank Radius 39.0605 mm    Polygon sides 50   Angle 7.2 deg       Segment Length  4.968049 mm
First Field Radius 69.527690 mm    Polygon sides 89  Angle  4.044 deg  Segment Length  4.970287 mm

.002 mm is beyond our ability to measure on our tools. These two lengths of vibration segmentation will couple energy between them just as light rods do.
An energy flow will form from the inside circle to the outside circle between these vibration coupled segments.
Experiments in the field in the car indicate, the inertial resistance to acceleration is decreased by this vibration coupling method.

Correcting The Formula To Fit The Phenomena Observed

Triangle M

Let's now observe first that 2X must be identical on both interacting layered fields.
Also that the angles created at the center of spin must always form complete polygons with finite number of nodes on the circle.
Thus the number of sides on the polygon can be divided into 360 to obtain the angle.

Given crank radius, Number of polygon sides, Segment length,  calculate the diameter that can be used for programing the first field onto the engine accurately.

We start by calculating the 50 sided polygon segment length from the Crank rotation circle of power.

Segment length = diameter * sin ( 1/2 the angle)

Next we solve for the new diameter based on the angular change with the same segment length.

Diameter = Segment length / sin (1/2 the new angle)

Now we relate the two angles by 50 to 89 and find the corrected diameter for programming the field more accurately onto the engine, for a perfect segment coupling.


When you realize that this technique can also be applied to a rotational electric field, things become very interesting indeed.
Remember the A field operates inwards and outwards on a coil, and that is the vibration field of the rotating electric field.
Coil diameters can then be used to alter the responses of AC EM fields.

Corrected Crank Fracturing Field Spreadsheet

Crank Quick Sheet

Note installing the first field is now slightly shorter then previously used by .063416 mm, that is definitely within our ability to change with our SS calipers.
With this field , the segments lengths will become more accurately coupled, if the current line of thought is correct.

Crank Quick Sheet Spreadsheet

89 / 50 Formula

Layer 2 diameter = Layer 1 diameter *  1.78

89 / 50  M factor Correction

Layer 2 diameter = Layer 1 diameter *  1.77919849

We can see from the M factor correction, why the 89 / 50 works so well.
The difference in the ratio is approximately  .001
However when multiplied out to the diameter size the change is approaching .06 mm shorter and worth the effort, as now it fits on our lowest caliper scale and changes the setting of the caliper.

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