Piston Vibration Breakdown

What is the connection between piston travel, frequency, and power?
Study of the engine vibration will open the door to injecting frequency when and where it is desired in the engine cycle.
As these parameters seem to change with RPM and Power against the cars velocity we need to locate a crossing point, where all can pass.
This document is only a beginning and shows the complexity of what will be necessary.

In the early car testing we noticed the presence of the piston line around engines. One can place a pancake coil above the ends of the piston line and feel pressure pulling more one direction then the other. Now flipping the pancake coil over the direction or pulsing pressure is reversed. This indicates the piston line is not always balanced, yet has two opposing flows.

In the last Joe Cell design we just happened to hit, by divine grace, or pure chance, all around the piston travel distance! This cell effects the car over a greater range of RPMs, where other tube devices totally miss.

Honda LXI
Piston distance = Crank offset diameter = 3.582"
Sensed important distance = 2.855"

Now listing the cells tube lengths
3.675"   Center Tube 1
3.711"    Tube 2
3.753"    Tube 3
3.582"   Piston travel distance
3.535"    Tube 4
3.564"    Tube 5
4.113"    Outer Can

At the time of design, goal was only to use materials on hand to produce a good solid ~1/4" resonant system. It would seem we lucked out on this however to some degree, and were able to make the connection to piston vibrations during cell testing in a car.

Charting the RAV

2003   Aluminum Engine Block  2.0 liter displacement
Piston travel 3.115" [as calculated from owners manual, which is in error and offered as two different lengths in two places in the manual.]

As this distance is fully balanced within the engine it is sensed as a null on the SS calipers and is not present outside the engine.
The interesting thing is what happens as we accelerate or climb a hill adding the element of power to the engine.
There are a host of resonant distances just under and over this length that come to life.

Inches
2.438
2.493
2.706
2.740
2.801
2.851
2.890
2.918
2.936
2.942
3.005 ***  ~ 6 degrees from top
3.008
3.024
3.042
3.075
3.076
3.115 Stroke distance
3.163
3.168
3.239
3.254

During coasting these fractals go still or dead, during power these fractals all vibrate up at different engine stress levels.
3.005" is of note as it actually seems to be a manipulating point for inertial effects while climbing hills. It makes the car feel lighter and "surging forwards" is the sensation it produces.

I believe these numbers represent perimeters of polygons that are forming on the cylinders vibrationally, as the engine moves through different stress levels. The shorter the segments the greater the counts and the closer we move towards the actual diameter and stroke length. The longer the segments the further we drop under the perimeter of the cylinders circumference.

The chart shows why each frequency only seems to assist the vehicle at one RPM under powered conditions, and why multiple tubes may seem to do better. Each tube adds only one sweet spot.
Also why a cell may work better in one car then in another car.

Fractals

Is the piston stroke length a doorway into the engine?

1x      3.115"
2x      6.23"
3x      9.345"
4x    12.46"
5x    15.575"
6x    18.69"
7x    21.805"
8x    24.92"
9x    28.035"
10x  31.15"
11x  34.265"
12x  37.38"

Is 3.005" an inertial crossroad?

1x       3.005"  
2x       6.01"
3x       9.015"
4x     12.02"
5x     15.025"
6x     18.03"
7x     21.035"
8x     24.04"
9x     27.045"
10x   30.05"
11x   33.055"
12x   36.06"

What is the vibration polygon segment length of the engine at inertial power release?
3.115 = cylinder and vibrational polygon diameter
3.005 = explosion segment sum - polygon perimeter fractal sum - for simultaneity of light pulse [synchronous frequency coupling]

FS = D * sin(360/ A / 2)
FS = 3.115  *  sine (180/A)
Perimeter = FS * 360/A  
3.005" = FS * 360/A

FS = 360/A * .3327787"
FS = 3.115 * sin(180/A)

360/A * .3327787" =  3.115 * sin(180/A)
360/A  *.3327787"/ 3.115 = sin(180/A)
.108631  * 360/A = sin (180/A)
.108631 = sin(180/A) * A/360


The piston stroke is basically a volume with motional distance equal to diameter of the piston. This is a square pyramid form, with a virtual tube that exists only over one revolution in time.

Diameter = 3.115"
Circumference =  9.786"

We can now create a polygon coupling, or a perimeter coupling off another diameter tube, and also try to match any one of the engines natural coupling points.
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