Exerting torque on an extension spring to overcome friction in a helical tube

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SUMMARY

The discussion focuses on modeling the potential energy buildup in an extension spring when twisted while constrained in a helical tube. Participants mention calculating strain energy due to bending the spring into different radii from torsion, emphasizing that if the spring does not undergo plastic deformation, the strain energy equates to the increase in potential energy. Key equations and principles related to torsion and strain energy in springs are central to this analysis.

PREREQUISITES
  • Understanding of torsion mechanics
  • Familiarity with strain energy concepts
  • Knowledge of potential energy in mechanical systems
  • Basic principles of spring mechanics
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  • Research the equations governing torsion in springs
  • Study the relationship between strain energy and potential energy in mechanical systems
  • Explore the effects of plastic deformation on spring mechanics
  • Learn about energy storage in helical springs under various constraints
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Mechanical engineers, physicists, and students studying mechanics who are interested in the dynamics of springs and energy storage in constrained systems.

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Does anyone know of an equation that models the build up of potential energy in an extension spring induced by twisting it when its motion is otherwise constrained in the transverse direction?
 
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You could calculate the strain energy due to bending the spring into a larger (or smaller) radius from the torsion. If it doesn't plastically deform the spring, the strain energy would be that increase in potential energy.
 
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