The linear spring having even forcing pull/push

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To achieve an even pull/push force across a range with linear springs, various methods can be employed. Air springs with large accumulators provide nearly constant force over a displacement range, as seen in gas struts for hatchback cars. Belleville springs can also be designed for constant force within certain displacement limits. Additionally, using a servomotor in torque mode or complex linkage arrangements can maintain consistent force. For practical applications, constant force springs like clock springs and product pushers effectively demonstrate this principle.
abdulbadii
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TL;DR
Need a matter or configuration of linear spring direction with even forcing pull/push
How do we have linear spring direction (mostly a spherical spring) to have pull/push force evenly across some points within a range?
Or is it possible to create spring material with anomaly property capable of performing so?
 
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If you want a spring that provides a constant force over a range of displacement, there is more than one way to do it.

An air spring with a large accumulator will have almost constant force over a displacement range. The gas struts used in hatchback cars are one type of air spring.

Belleville springs can be designed for constant force over part of their displacement range. A quick search found this graph that shows this:
Belleville.jpg

It is possible to use a servomotor in torque mode to provide a constant force over a range of motion.

I believe that there are also complicated linkage arrangements that can do it, but have not looked for such.

And last, but not least, search constant force spring.
 
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A clock spring does a pretty good job of constant force. The same approach is used in a "Product Pusher", as used in grocery stores to keep products at the front of a shelf.

At the site below, the outer end of the spring is attached to the rail. The inner end of the spring is not attached. As the vertical part is moved to the left, the spring is forced to straighten (unwind) with an almost constant force.

https://www.dgsretail.com/A0638/spring-loaded-shelf-pusher-black-2-5h-7-5w

Cheers,
Tom
 
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abdulbadii said:
TL;DR Summary: Need a matter or configuration of linear spring direction with even forcing pull/push

How do we have linear spring direction (mostly a spherical spring) to have pull/push force evenly across some points within a range?
The Fusee modification of an old fashioned clock spring uses a cylinder with varying radius and a chain to provide very even torque over the whole week's worth of winding. We have a school clock (short pendulum) and its timekeeping is really pretty fair until the time it needs winding when it speeds up by about a minute. The light chain is pretty cool but I have heard of a pierce of gut used for the same purpose.
 
https://newatlas.com/technology/abenics-versatile-active-ball-joint-gear/ They say this could be used as a shoulder joint for robots. Mind boggling! I'm amazed this has been done in real life. The model they show seems impractical to me. The ball spins in place but doesn't connect to anything. I guess what they would do would be attach a shaft to that ball, then restrict the motion so the drive gears don't contact the shaft. The ball would have two limited degrees of freedom then a...

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