Hypothesis .. Raising GPE without using Law of Levers ? ..
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Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
Where do I find the MT's again? I don't remember very clearly the toy page. This is what I drew out of the MT 138 clue from Bessler. I let the hammers fall on one side and I let them become a square again on the other side connected by gears so that they move their opposite sides in unison. A block on the right side might receive minimal resistance as the weights want to naturally fall into place on the right with some resistance on the left.
"It's not the size of the dog in the fight, it's the size of the fight in the dog." - Mark Twain
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
There is a topic in the General discussion ,preoccupied wrote: ↑Sun Jan 26, 2025 5:01 pm
Where do I find the MT's again? I don't remember very clearly the toy page.
here is the link.
https://www.besslerwheel.com/forum/viewtopic.php?t=9458
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
Comment .. B. took the care and effort to identify and include joint pivots in some of his TP woodcut toys, but not in others ..
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
The Hammermen toys C & D are operated by push and pull forces - however the pantograph frames are not pinned / pivoted to any background structure - they purely bring to our attention the PUSH and PULL forces ..
IF we were to pivot their pantograph frames to a background structure as I've indicated in the attachment ( O ) and assume that the majority of the toys mass is located at the heavy drum or wood chopping block, then the system GPE would rise to its highest position mid ' event ' and fall to lowest position at start and finish of one push or pull event ..
* I have drawn in an indicative GPE rise and fall track ( Yellow arc) for each toy should they be pivoted to the background as per my drawing - reminiscent of a swinging pendulum track only upside down ..
* Of course their pantograph frames are NOT pivoted ( pinned ) to any background in B's. TP woodcut, and my musings about pivoting them is to draw attention to a rising and falling of system GPE ..
IF we were to pivot their pantograph frames to a background structure as I've indicated in the attachment ( O ) and assume that the majority of the toys mass is located at the heavy drum or wood chopping block, then the system GPE would rise to its highest position mid ' event ' and fall to lowest position at start and finish of one push or pull event ..
* I have drawn in an indicative GPE rise and fall track ( Yellow arc) for each toy should they be pivoted to the background as per my drawing - reminiscent of a swinging pendulum track only upside down ..
* Of course their pantograph frames are NOT pivoted ( pinned ) to any background in B's. TP woodcut, and my musings about pivoting them is to draw attention to a rising and falling of system GPE ..
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Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
I dont mean to be counter oppinion just for the sake of being so , but , i do see pivots drawn on A and B on the original scans .
But i mean if its symbolism then whether i see them may not even be important , its not like i know what was going on in besslers mind , im just poking physics stuff with a stick and see what happens .
However i am still following along , and i am sure fletcher still has more to share .
But i mean if its symbolism then whether i see them may not even be important , its not like i know what was going on in besslers mind , im just poking physics stuff with a stick and see what happens .
However i am still following along , and i am sure fletcher still has more to share .
Last edited by johannesbender on Sun Jan 26, 2025 10:33 pm, edited 1 time in total.
Its all relative.
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
Hi Fletcher!
I added the latch/ratchet formula to your sim. I think it works correctly.
The formula assumes clockwise rotation. Check it out, it makes things work a bit better.
Active when:
And(Body[SwingerRod].p.r > 0.1, Body[SwingerRod].v.r <= Body[Wheel].v.r)
What this formula simulates is actually a circular ratchet/freewheel/overrunning clutch type of action. When the swinger swinged backward, it gets latched when matching the Wheel's speed, and stays latched until swings to the bottom/6 o'clock, or until wobbled backward again by the T-pendulum.
I also tried a combination of the latch formula and a "magic damper".
All sim files attached. I added some starting push to see how it goes...
One thing to note... This heavy offset crank pendulum puts a lot of stress on the connection/crank, I have the impression it is not the best fit for this function, but still doing its job.
I added the latch/ratchet formula to your sim. I think it works correctly.
The formula assumes clockwise rotation. Check it out, it makes things work a bit better.
Active when:
And(Body[SwingerRod].p.r > 0.1, Body[SwingerRod].v.r <= Body[Wheel].v.r)
What this formula simulates is actually a circular ratchet/freewheel/overrunning clutch type of action. When the swinger swinged backward, it gets latched when matching the Wheel's speed, and stays latched until swings to the bottom/6 o'clock, or until wobbled backward again by the T-pendulum.
I also tried a combination of the latch formula and a "magic damper".
All sim files attached. I added some starting push to see how it goes...
One thing to note... This heavy offset crank pendulum puts a lot of stress on the connection/crank, I have the impression it is not the best fit for this function, but still doing its job.
- Attachments
-
- External_PendDriverB3c_latchformula.wm2d
- (91.87 KiB) Downloaded 6 times
-
- External_PendDriverB3c_latchformula_with_magicdamper.wm2d
- (93.71 KiB) Downloaded 3 times
-
- Magicdamper.wm2d
- (60.86 KiB) Downloaded 3 times
Last edited by Gregory on Mon Jan 27, 2025 12:09 am, edited 3 times in total.
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
Also, I completed my first sims on this concept. I made some changes/upgrades:
- I replaced the big pendulum with a very simple speed variator mechanism which utilizes tension springs. You can gear it up to rotate many times of wheel speed, and this way it can produce different frequency/intensity of wobble. More rotations of wobble per one full wheel rotation...
- I added a Roberval Planetary Gearing as an artificial horizon mechanism to stop the Swingers from swinging into the left side. They can even bounce back to the right. However, as I tested it might work better without this collision or side restricted swinging.
Wm2d has a very hard time making this not work, struggling with it.
Unfortunately, wm2d explodes the sim if I try to set it to simpler integrator methods. Maybe it would run and produce a gain on Euler...
Perhaps this is the best OOB arrangement I have ever sim-built. What is really nice to watch that all the OOB weights just go into OOB positions effortlessly, like it's the most natural thing to happen. Thanks to the speed variator and the bouncing back effect... It's fun!
The Roberval Gearing is overkill, but I wanted to be precise and max it out. A ramp might be sufficient on the ascending side, but all that collision detection/ramp friction would not help much with the sim. Also, I forced this roberval gearing with a heavy pendulum, so its not entirely fixed, depends on how heavy the pendulum is. Well, if the sun gear is anchored, then it will be absolutely fixed.
Two sims attached.
In the second sim I added a lot of controls. So, fine tuning it to madness is possible now. ;-)
Have a nice play!
- I replaced the big pendulum with a very simple speed variator mechanism which utilizes tension springs. You can gear it up to rotate many times of wheel speed, and this way it can produce different frequency/intensity of wobble. More rotations of wobble per one full wheel rotation...
- I added a Roberval Planetary Gearing as an artificial horizon mechanism to stop the Swingers from swinging into the left side. They can even bounce back to the right. However, as I tested it might work better without this collision or side restricted swinging.
Wm2d has a very hard time making this not work, struggling with it.
Unfortunately, wm2d explodes the sim if I try to set it to simpler integrator methods. Maybe it would run and produce a gain on Euler...
Perhaps this is the best OOB arrangement I have ever sim-built. What is really nice to watch that all the OOB weights just go into OOB positions effortlessly, like it's the most natural thing to happen. Thanks to the speed variator and the bouncing back effect... It's fun!
The Roberval Gearing is overkill, but I wanted to be precise and max it out. A ramp might be sufficient on the ascending side, but all that collision detection/ramp friction would not help much with the sim. Also, I forced this roberval gearing with a heavy pendulum, so its not entirely fixed, depends on how heavy the pendulum is. Well, if the sun gear is anchored, then it will be absolutely fixed.
Two sims attached.
In the second sim I added a lot of controls. So, fine tuning it to madness is possible now. ;-)
Have a nice play!
- Attachments
-
- Reactive_Swingers_Wheel_1a .wm2d
- (39.13 KiB) Downloaded 5 times
-
- Reactive_Swingers_Wheel_2a .wm2d
- (145.87 KiB) Downloaded 6 times
Last edited by Gregory on Sun Jan 26, 2025 11:38 pm, edited 2 times in total.
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
“A” chain has holes but “B” chain I am not sure about.
It might be “B” chain the holes are in the other z plane.
https://orka.bibliothek.uni-kassel.de/v ... pDocAnchor
.
It might be “B” chain the holes are in the other z plane.
https://orka.bibliothek.uni-kassel.de/v ... pDocAnchor
.
Last edited by daxwc on Mon Jan 27, 2025 11:35 am, edited 2 times in total.
What goes around, comes around.
Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
In the “B” Chain if those are to be accurate pivots then it is not a Jacobs ladder. But if the pivots are drawn accurately then the very top of “B” doesn’t have an action like that. A Jacobs ladder needs a double hinge. If you mentally realise it is a "double hinge interpretation" then the action exists as well as a reason for the hand being cut away. Bessler became so paranoid you would recognise his biggest secret that he cut most of the hand away.
https://en.wikipedia.org/wiki/Jacob%27s ... dder_2.jpg
https://en.wikipedia.org/wiki/Jacob%27s ... dder_2.jpg
Last edited by daxwc on Mon Jan 27, 2025 11:54 am, edited 1 time in total.
What goes around, comes around.
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Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
What I see in Mt138 is the hammers equally going up and down but also shifting left and right and the heads also shifting left and right. Today I will measure those forces to see how they balance each other and also unbalance the entire mechanism.
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Re: Hypothesis .. Raising GPE without using Law of Levers ? ..
I tried to 4:1 ratio the drawing I made but there appears to be a ratchet conflict. I'm not familiar with ratchets. Is this a ratchet conflict that has been solved in other areas of mechanics already?
"It's not the size of the dog in the fight, it's the size of the fight in the dog." - Mark Twain