Load Inertia - Mass Moment of Inertia Question

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SUMMARY

The discussion centers on verifying the calculation of load inertia reflected to a motor driving three rollers at a gear ratio of 3.5:1. The user calculated the total mass moment of inertia for the rollers as 67,155 lbm-in², which converts to 19.65 kg-m². After dividing by the gear ratio squared, the reflected inertia was calculated as 5.6 kg-m², contrasting with a previous employee's figure of 2.4 kg-m². The user seeks clarification on the discrepancies in these calculations.

PREREQUISITES
  • Understanding of load inertia and mass moment of inertia
  • Familiarity with gear ratios and their impact on inertia calculations
  • Proficiency in unit conversions between lbm-in² and kg-m²
  • Basic knowledge of mechanical systems, particularly belt-driven systems
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  • Review the principles of load inertia calculations in mechanical systems
  • Study the effects of gear ratios on reflected inertia
  • Learn about the significance of safety factors in mechanical design
  • Explore simulation tools for validating mechanical calculations
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Mechanical engineers, design engineers, and anyone involved in the calculation of load inertia in motor-driven systems will benefit from this discussion.

mselak500
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I'm looking for some help to verify a calcualtion that was made by a previous employee.

The calcualtion was for load inetria (reflected to the motor). The motor will be driving (3) rollers at a gear ratio of 3.5:1 (motor turns 3.5 revolutions for every 1 revolution of the rolls).

I have a program that caluclates the mass moment of inertia for the rolls, and was able to verify this calucations with formulas that I found on the internet. The total inertia for all (3) rolls is 67,155 lbm-in^2. I converted this to 19.65 kg-m^2. If I divide this by the gear ratio of 3.5, I come up with 5.6 kg-m^2.

The previous employee came up with 2.4 kg-m^2.

Can someone help to tell me what I'm doing wrong.

Thanks,

I
 
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Take a look below to see if any of these equations are useful. The reflected inertia is the (load inertia) / (gearing ratio^2).

I came up with 1.604 kg-m^2. Let me know if you want me to run it through my simulator. Note: I didn't include the gearing inertia - should be minor if you're using a belt system.

http://www.danahermotion.com/website/com/eng/download/document/sizinggearheads.pdf
 
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I'm assuming the 50% saftey factor. Thanks much your all the help.
 
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