Transfer function between torque and strain

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SUMMARY

The discussion focuses on developing a Matlab Simulink model to establish the transfer function between torque applied to a motor and the resulting strain on a steel shaft. The user has successfully identified the transfer functions for voltage to motor torque and strain to voltage across a strain gauge but seeks guidance on deriving the transfer function between torque and strain. The shaft specifications are a length of 150mm and a diameter of 40mm, which are critical for calculating the relationship accurately.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with Matlab Simulink for modeling
  • Knowledge of material properties, specifically for steel
  • Basic principles of strain gauges and their operation
NEXT STEPS
  • Research the relationship between torque and strain using the formula for torsional deformation
  • Explore Matlab Simulink documentation for modeling mechanical systems
  • Learn about the mechanical properties of steel relevant to strain calculations
  • Investigate methods for deriving transfer functions from experimental data
USEFUL FOR

Engineers, mechanical designers, and researchers involved in motor control systems, strain measurement, and mechanical modeling will benefit from this discussion.

CraigH
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I'm trying to develop a Matlab Simulink model which models the relationship between the voltage applied to a motor, and the voltage across a strain gauge connected to a shaft attached to the motor. So far, I have found the transfer function between voltage and motor torque, and the transfer function between strain on the shaft and voltage across the strain gauge. However, I cannot find a source that explains the transfer function between torque on the shaft and the resulting strain on that shaft.

Can somebody please explain how I would go about finding this transfer function?

The shaft is a 150mm long, 40mm diameter steel cylinder.

Thanks!
 
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