Double Pendulum Power - Method for Extracting Power from a Mechanical Oscillator

A Numerical Analysis using the Runge Kutta Method to Solve the Euler Lagrange Equation for a Double Pendulum with Mechanical Load

...From these simulations we conclude that it is possible to extract considerably more energy from a double pendulum system than is used to set the outer pendulum in motion initially. This is due to the fact that rotation of the outer pendulum creates what we might call artificial gravity, i.e. a constantly oscillating force acting as a torque on the fixed pivot.

The result is that by adding 8.5 W of input power we continuously generate about 60 W of output power. A COP of about 7.

http://www.veljkomilkovic.com/Docs/Double-Pendulum-Power-AC-Power-from-a-Mechanical-Oscillator.pdf

http://www.scribd.com/doc/146232946/Double-Pendulum-Power-AC-Power-from-a-Mechanical-Oscillator

Quote from: markusbraunfe on September 16, 2012, 11:43:02 AM
To juan_86 and others that try to "measure" the two stage oscillator by using 2D physics simulation software:

I think the approach is completely flawed, because those programs only act by the standard laws of physics (newton), so of course no overunity
effect will show up.

Moreover, we live in a real world where at least some small friction is always present. So in order to extract useful energy, the system must overcome
this friction. So the only way to demonstrate clearly whether there is a real, practical overunity effect, is to build a real model of the machine and measure the outcome.
I find it hilarious that so many people still use physics simulation software and try to demonstrate if some machines (gravity wheels, etc)  show an overunity effect.
Of course it is easier and cheaper (basically free) to simulate those machines by using simulation software rather than building the real model.
But in case of overunity machines, we are  outside the conventional physics domain, and unfortunately classical-physics simulation software will miserably fail.
So start build your models and measure the data. The nature will not lie. Often small models will suffice because many processes in nature are repeatable at a smaller scale. If there is a gravity wheel design that works, then probably it works regardless whether it is 20cm  or 10metres in diameter.
The forces will of course be bigger but the effect should be reproducible on small scales models too.

Of course there are some exceptions, for example critical mass for atomic reactions etc, but I don't believe that overunity devices that do use gravity, inertia or centrifugal forces do have this critical mass (or size) requirements.

A very sensible post.


Well done.

Quote from: allcanadian on January 04, 2007, 03:42:44 AM
... Absolute simplicity in design and function comes from knowledge and understanding- not textbooks.

Absolutely. 

Quote from: Merg on January 01, 2014, 07:49:20 PM
pendule milkovic (mauvaise configuration)
by freedericklane (YouTube)
http://www.youtube.com/watch?v=Y4bNOUqKWgc

Dispositif sur le principe du pendule de MILKOVIC .Ces deux montages ne sont pas bon car le cycle de l'embiellage de la roue ne correspond pas au cycle du mouvement de va et vient de l'effet Milkovic qui n'est pas sinusoïdale.
Un bon moyen pour récupérer la force en mouvement rotatif est d'utiliser une "roue libre" à cliquet d'une roue de vélo par exemple.

Il est intéressant de constater l'échange d'énergie entre le pendule et la roue d'inertie dû à la désynchronisation des deux mouvements(rotation,pendule) qui sont indépendant.(on l'entend au bruit)

GOOGLE TRANSLATE TO ENGLISH:

Device on the principle of pendulum Milkovic. Both mounts are not good because the cycle of the crankshaft wheel does not match the cycle of movement back and forth of Milkovic effect is not sinusoidal.
A good way to get the strength to rotary motion is to use a "freewheel" ratchet wheel bike for example.

It is interesting that the energy exchange between the pendulum and the inertia due to the synchronization of the two movements (rotation, pendulum), which are independent wheel. (You can hear the sound)

Yep. You should pursue that ratchet idea because hiving off half the angular momentum to earth is the way to go.
In effect you are bringing the slingshot effect (gravity assist as NASA like to call it) sown to earth.

Quote
The result is that by adding 8.5 W of input power we continuously generate about 60 W of output power. A COP of about 7.

http://www.veljkomilkovic.com/Docs/Double-Pendulum-Power-AC-Power-from-a-Mechanical-Oscillator.pdf

http://www.scribd.com/doc/146232946/Double-Pendulum-Power-AC-Power-from-a-Mechanical-Oscillator

The results from quoted paper is mathematical model meaning that model could be good or wrong. Real world knows nothing about mathematics. We use mathematics to explain real world.
If we want to know something about some process we do experiments and measurements. Sometime very simple.
Suppose we want to make closer look in behavior of two stage mechanical oscillator (TSMO) by changing the load.

In the set we have TSMO and water pump. Inlet level of water is constant. Outlet level will be changed. We will not change any element of TSMO during experiment.
We will measure time for loading reservoir of constant volume at outlet level, number of swing and energy needed for maintaining constant swing of the pendulum.
Outlet level will rise one meter after every loading of outlet reservoir with constant volume (outlet pipe ends at upper - maximum - level of reservoir)
Equivalent of added energy will be a force and a time needed to maintain constant swing of the pendulum.
Force will be measured by tenzometric cell from cheep Chinese scale hooked to some Arduino with analog module.
Times will be measured by the same Arduino
Because energy will be added by hand, it is necessary to measure the angle of pendulum swing. This will do it some angle measurement device hooked to the Arduino.

Not so simple? I agree. We could survive without Arduino, force and angle measurement using only old good stopwatch and our sense for hand load of pendulum.
I am an engineer and I like to be precise as much as possible in given circumstances giving maximum insight. This is the reason for "extra" measurement 

When our experiment will end? When pendulum proceed to swing without pumping.
This means that energy needed for pumping is equal or greater than energy loaded by gravity and hand.
Even without really doing proposed experiment, one could conclude following:
  1. Gravity energy is constant because we do not change any element of TSMO
  2. Energy added by hand is finite and could not be greater than needed for constant swing

Other conclusion are up to you...

My conclusion is that participation of hand added energy will rise for every rise of outlet reservoir, simply because that this extra energy is equivalent of loss in the system TSMO & pump. Next conclusion is that time for every loading of outlet reservoir after rising the level will be longer and longer because more and more energy will be used to push water up at the expense of pump loading with water.

Further conclusion is that it is not possible to borrow some energy from pump side to replace hand added energy because this will be extra load (like rising the level of outlet reservoir) demanding more "hand" added energy. Lever is rigid body making both side mutual dependent.

The bottom line is that overunity is not possible with TSMO.

If you do not believe in my conclusions, do the experiments with Arduino measurement