# 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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