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Investigation on the Curvature Correction Factor of Extension Spring.

P S Tan1, Ali Akhavan Farid1, Atefeh Karimzadeh2

  • 1Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham Malaysia Campus, Semenyih 43500, Malaysia.

Materials (Basel, Switzerland)
|September 24, 2020
PubMed
Summary

This study investigates helical extension spring stress calculations. New equations for the curvature correction factor, considering hook orientation and coil number, improve spring design safety.

Keywords:
curvature correction factorextension springfinite element methodhook orientationnumber of coilsspring index

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Area of Science:

  • Mechanical Engineering
  • Materials Science

Background:

  • The curvature correction factor is crucial for accurate stress calculation in helical extension springs.
  • This factor accounts for stress concentration due to wire curvature, particularly at the inner radius.
  • Existing theoretical models often overlook key geometric parameters influencing this factor.

Purpose of the Study:

  • To investigate parameters affecting the curvature correction factor in helical extension springs.
  • To compare theoretical calculations with numerical simulations.
  • To develop improved equations for the curvature correction factor.

Main Methods:

  • Theoretical analysis of spring stress.
  • Generation and analysis of multiple finite element (FE) models of extension springs.
  • Parametric study focusing on hook orientation and number of coils.

Main Results:

  • Hook orientation and number of coils significantly impact the curvature correction factor.
  • FE models revealed deviations from traditional theoretical predictions.
  • A new set of equations for the curvature correction factor was developed.

Conclusions:

  • The proposed equations incorporate spring index and number of coils for enhanced accuracy.
  • These improved equations facilitate the design of extension springs with increased safety factors.
  • This research bridges the gap between theoretical spring design and practical FEA results.