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abasile60
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Join Date: Oct 2006
Location: Princeton, NJ
Posts: 48

How to Calculate Chain Inertia

03/12/2009 3:20 PM

I am trying to calculate the needed motor starting torque to drive a load similar to what is shown in this sketch, using the product of component Inertia and Angular Acceleration (Torque = Inertia X Acceleration). All mass properties and dimesions are known, but I don't know how to account for the chain mass in the inertia calculation.

BTW, there is no gear reduction - ratio = 1:1.


Thanks for any tips.
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Pathfinder Tags: Chain moment of inertia
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nick name
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Join Date: Mar 2007
Location: City of Light
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#1

Re: How to Calculate Chain Inertia

03/12/2009 4:21 PM

You can assume that the full chain mass is concentrated at the motor pinion radius since there is a stiff connection between them. So that the inertia will be I= m*L*R^2 where

m = mass per unit length of chain in kg/m (metric units)

L= Chain length in m

R= Gear radius in m Result will be in kg*m^2 as it should be.

Any other unit system can be used.
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abasile60
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Join Date: Oct 2006
Location: Princeton, NJ
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#2
In reply to #1

Re: How to Calculate Chain Inertia

03/12/2009 5:26 PM

Seems like a great (and easy) solution , I'll give it a try. Thank you.

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Blink
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Join Date: Aug 2006
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#4
In reply to #1

Re: How to Calculate Chain Inertia

03/13/2009 10:43 AM

Another GA -- clear, concise, correct.

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jooka
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Join Date: Jul 2007
Location: US and India
Posts: 10
#3

Re: How to Calculate Chain Inertia

03/12/2009 10:56 PM

you know mass and linear accelaration of the chain......so you know the force.Force multiplied by the pinion radius is torque to drive the chain.
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Floram
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#5
In reply to #3

Re: How to Calculate Chain Inertia

03/13/2009 10:59 AM

That only applies during start-up or shut-down.

On constant speed running the acceleration formula does not come into play.

I agree with the GA already given.

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jooka
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Location: US and India
Posts: 10
#6
In reply to #5

Re: How to Calculate Chain Inertia

03/13/2009 11:19 AM

Either torque or Force comes into play only when accelerating (angular or linear).Otherwise you need to supply only frictional losses.

Inertia is resistance to acceleration.
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Floram
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#7
In reply to #6

Re: How to Calculate Chain Inertia

03/13/2009 2:07 PM

Right you are, quite correct. I had overlooked the original need to calculate the starting torque.

I agree with your statement, of course.

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