Hi agor95,
I try to simplify the movment of the pendulum and don't use such complex formulars.
What I have described earlier already, we need a wandering suspension point.
The suspension point of the pendulum must be allowed to make and up and down and also a left to right movement.
A swinging in x,y coordinates.
Therefore i have prepared the following sketch.
We have a preload system, the spring is compressed from the weight of the lever and the weight of the pendulum.
1. the pivot point is not moving.
2. what will happen if you give the pendulum a push ?
A push on the pendulum will variate the forces on the suspension point.
The preloaded spring will expand and therefore the suspension point is rising.
I have chosen the construction in that way that we also get a movement of the suspension point to the left.
As you see it is a simple oscillator modified with a swinging pendulum.
This construction can be modified in that way that we have an 2 stage oscillator, then we have the parasitic oscillation.
Georg Künstler wrote: ↑Fri Oct 15, 2021 9:02 am
...
A push on the pendulum will variate the forces on the suspension point.
The preloaded spring will expand and therefore the suspension point is rising.
I have chosen the construction in that way that we also get a movement of the suspension point to the left.
As you see it is a simple oscillator modified with a swinging pendulum.
This construction can be modified in that way that we have an 2 stage oscillator, then we have the parasitic oscillation.
Thank you for the diagram. The additions are a latch to hold the spring down after the pendulum compresses the spring. A latch to be released when the pendulum nears the top of the arc. and two pegs for the pendulums rod to hit as the beam rises.
This does increase complexity with the possibility of an improvement.
P.S. Have you noticed parasitic oscillations transfer energy from one to the other and back again.
There needs to be something more to bring energy into the system.
Regards
[MP] Mobiles that perpetuate - external energy allowed
agor95 wrote» Fri Oct 15, 2021 12:56 pm
P.S. Have you noticed parasitic oscillations transfer energy from one to the other and back again.
There needs to be something more to bring energy into the system.
agreed, there must 3 energy storages, which must be allowed to swing, interact.
With 3 energy storages you can amplify the swinging.
The drawing above has 2 energy storages, the energy in the spring and the energy in the pendulum.
Both are under the influence of gravity. The spring is compressed/released via the pendulum weight and swinging.
So we have to modify sketch above in a specific way to achive the parasitic oscillaion.
I will prepare an additional sketch to show you what I am thinking about.
here the promised sketch picture,
I changed the construction from a parametric oscillation to a parasitic oscillation.
The two springs are compressed by two weights.
when the pendulum is swinging we have a force on the pivot point which is variating.
The down force variate from zero to the weight of the mass.
A swinging of the Pendulum will allow that the cylindical mass, which is also the suspension point of the pendulum will rise.
The suspension point is wandering up and down and also from left to right, and the reversal.
An elementary type of movement, the wandering suspension point in the coordinates x,y.
A wandering suspension point will change the distribution of the forces.
The acceleration of the masses will exceed the normal natural swinging of the pendulum.
It is an overlay of waves.
This my concern. When a forced vibration coincides with a natural frequency of the system in can encounter a condition, called a resonance. It's true dangerously large amplitudes can result. However, if you put any kind of load on it, the occultations will be dampened out. Therefore, I don't see how you can ever get anything out of it; if you will forgive me for saying so----------------------------------------Sam