Designing a Low Speed Crank Mechanism: Counterweight Calculation

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SUMMARY

This discussion focuses on designing a low-speed crank mechanism and calculating the necessary counterweight. The key formula for counterweight calculation is (crank-mass x crank-radius) = (counterweight-mass x counterweight radius). The mechanism is primarily constructed from lightweight materials such as plastic or deodar wood, and while counterweights can reduce peak bearing loads, they may not be essential for very light applications. The user is specifically designing a mechanical calculator utilizing a Geneva mechanism, requiring precise movement to ensure accurate outputs.

PREREQUISITES
  • Understanding of basic mechanical principles, including center of gravity (CoG) and balance.
  • Familiarity with crankshaft dynamics and counterweight applications.
  • Knowledge of material properties, specifically lightweight materials like plastic and wood.
  • Experience with Geneva mechanisms and their operational requirements.
NEXT STEPS
  • Research the principles of static and dynamic balance in mechanical systems.
  • Explore advanced counterweight design techniques for low-speed mechanisms.
  • Learn about the properties and applications of deodar wood in mechanical designs.
  • Investigate the design and functionality of Geneva mechanisms in detail.
USEFUL FOR

Mechanical engineers, hobbyists designing low-speed mechanisms, and anyone involved in the construction of mechanical calculators or similar devices.

kevjcarvalho
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heyy...i'm designing a crank for a mechanism...and i need to counterweight it...is there any formula which tells u how much counterweight to add...its a low speed mechanism and very light...material mostly plastic or wood
 
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There is no set formula to plug numbers into that I am aware of, but you can use an approximation which is treating the masses as point masses rotating about an axis and balance them that way. Basically you want all the little CoG to balance to the CoG ove the overall crankshaft lies on the axis.

This can easily sort the crank's static balance, sorting the dynamic balance and not making the counterweights overly large will affect dynamic balance.

However it probably doesn't need a counter weights if its very light, even if it's not totally balanced. Many counterweights are actually not used to balance the crankshaft (as it could be manufactured with no counterweights and still be balanced), they are put on to reduce peak bearing loads.

I'm assuming this is probably a single/twin cylinder thing if its made of plastic? What sort of RPM are you looking at?
 
Well, the counterweight "formula" is pretty straightforward:

(crank-mass x crank-radius) = (counterweight-mass x counterweight radius)

So, if your crank masses 1kg and and is offset from the axle by 1 foot, then your counterweight should be:
1kg at 1 foot
or
2kg at .5 foot
or
4 kg at .25foot
etc.
 
The thing is i am designing a mechanical calculator...for which i am using a geneva mechanism for units to tens carry...the crank must therefore move by a precise amounts...owing to its size something like 8 cm radius it posesses a lot of inertia...even if it moves a little more the wrong number is outputted...the material is most likely deodar(wood)...it is a light weight application which is rotated by hand...so kinda high torque but low speed...thanks
 
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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