Forces required to accelerate a mass on a spring

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SUMMARY

The discussion focuses on using a DC motor to compress rubber and the implications of acceleration on torque measurements. John logs motor torque data with and without rubber to determine the torque required for compression. He calculates force using the formula F = ma + k.d, where k is the spring constant of rubber. The conversation highlights the need to consider acceleration effects and friction loading in torque calculations, emphasizing the importance of accurate data logging and analysis in mechanical systems.

PREREQUISITES
  • Understanding of DC motor torque constants
  • Knowledge of basic mechanics (Newton's laws of motion)
  • Familiarity with spring constants and material properties
  • Experience with data logging techniques and analysis
NEXT STEPS
  • Research the impact of acceleration on torque measurements in mechanical systems
  • Explore methods to minimize friction effects in torque calculations
  • Study rubber material properties and their behavior under compression
  • Investigate advanced data logging tools for motor performance analysis
USEFUL FOR

Mechanical engineers, robotics enthusiasts, and anyone involved in motor control and material compression analysis will benefit from this discussion.

JohnDear
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Hi,

I am currently working on a project and have become stuck on what should be a relatively simple problem (I thought).

Basically I am using a DC motor to provide a force on a crank that compresses a piece of rubber.

The movement includes some acceleration.

I am trying to use the motor current to find out the motor torque (use torque constant), and then force profile of the piece of rubber.

What i have done is perform the movement without the rubber, data log the motor torque.

Then perform the movement with the rubber, data logging the new motor torques.

Without thinking too much about it, I then subtracted the free motor torque from the motor torque with rubber, and said the result was 'torque due to compressing the rubber'. Calculated force from that, and results seem ok.

My question is:

Does acceleration effect the results when using my method? If so how? And how could i minimise this under circumstances where acceleration must be high?

Also if anyone has some information on this type of procedure I'm using, (papers etc) that would be great.

thanks,
John
 
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After thinking about it I think my approach is fair.

In the free motion case F = ma.

In the rubber compression case F = ma + k.d (k the spring constant of rubber assuming it behaves linearily).

I see no reason why I can't treat the two force components independently.

Only issue I can see is the effect of loading on friction (not accounted for in my model, but inherent in both my measurements), I think this may increase with loading, but can assume the increase to be insignificant.

Anyone with greater insight than me into this type of problem would love to hear from you,

thanks,
John
 

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