Applications For Vibrational Coupling
If one is to start experimenting with Vibrational Coupling
and combining this with EM to learn the connection between T E M in
real life, if there will be found to be a connection, one needs
the method and the math application to set up accurate designs. Getting
a Ferrite core to go into vibrational resonance is something I have yet
to experience. The following experiment now establishes some solid
methods.
Toroidal Cores
Two large ferrite cores approximately 3" by 1/2" are selected from the
junk box. They were removed from a power supply system some years back,
and were the 60 Hz power input transfer toroids designed to handle
power applications. Dimensions are carefully measured in metric for ease of calculation.
We now have several methods to couple these two toroids together
vibrationally simply by sliding three plastic spacers between them at a
fixed distance.
All formula will be calculated from the base center of mass, so the first calculation is to find this circles dimensions.
Vibrational Center of Mass
73.3 - 45.16 = 28.14 mm
28.14 / 2 = 14.07 mm = [width of the meat of the core]
45.16 + 14.07 = 59.23 mm = Diameter of the Vibrational Center
Diameter 59.23 mm
Radius 29.615 mm [HEX segment length]
Circumference 186.077 mm
Toroid Thickness 13.0 mm
1/2 Thickness 6.5 mm
Coupling Formula
HEX Coupling
Found above is the radius.
Spacer distance = Radius - Toroidal Thickness
Spacer Length = 29.615 - 13 = 16.615 mm
Polygon Coupling
Fractal Length = Diameter * (sine (1/2 the angle)) = 59.23 mm ( sine (1/2 the angle))
Perimeter Coupling
FS = 59.23 mm / X
FS = Fractal Segment Length
VE coupling can be applied for a 3D coupling of the standing vibrational form.
Triangle VE Coupling
Calculate the distance between top and bottom of the VE from opposing triangles.
Find the 3x polygon for the core circumference.
Square VE Coupling
Calculate the distance between top and bottom of the VE from opposing squares.
Find the 4x polygon for the core circumference.
Odd Coupling
7x Coupling
3x Coupling
1/2 pi Resonant Lengths
Circumference 186.077 mm
1c 186.077
2c 292.289
3c 459.126
4c 721.194
5c 1132.849
6c 1779.475
7c 2795.194
8c 4390.68 4.39068 meters
9c 6896.864
10c 10833.5698
11c 17017.3317
12c 26730.7622
13c 41988.5831
14c 65955.51
15c 103602.676 103.602676 meters
Phi Length
1c 186.077
1c phi 114.99 left spin
1c Phi 301.07 right spin
2c 292.289
2c phi 180.634 left spin one layer in
2c Phi 472.92 right spin one layer in
3c 459.126
3c phi 283.74
3c Phi 742.8668
Dave L
c_s_s_p group
10 - 27 - 2009
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