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Generalized spiral torsion spring energetic model

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Abstract

Torsional springs or coil springs are used to apply a torque and obtain a rotation of its shaft. They are usually manufactured with flat steel. Recommended maximum operating stresses in static applications are given as a percentage of tensile strength. These values could be consulted in an experimental table with an appropriate stress correction factor. An energetic model for torsional spiral springs is presented in this work. First of all a parametric study analyzes different variables which affect the spring performance. Main variables analyzed have been the length of the spring strip, strip thickness and height, housing diameter, shaft diameter, variation of bending stiffness and curvature along the length of the spring strip. Afterward, the analysis of energy storage in coil spring is carried out. There are two causes why energy storage is less than the maximum of the model developed. The first one is energy wasted in coil contact and in spring blocking and unblocking process. The second cause is that the torque applied to spin is less than the one which reached the yield strength in spring section. Both of them are quantified and incorporated in the model. At the end the energetic model is used to calculate the torque–angle turned curve, framework deformation and the spring-framework contact force. Model developed is validated with test on a monolithic fiberglass spiral spring.

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Authors and Affiliations

  1. Mechanical Engineering Department, Escuela Técnica Superior de Ingeniería (ICAI), C/Alberto Aguilera, 25, 28015, Madrid, Spain

    Daniel Fernández Caballero

  2. Mechanical Engineering Department, Escuela Técnica Superior de Ingenieros Industriales (ETSII), Universidad Politécnica de Madrid (UPM), C/José Gutiérrez Abascal, 2, 28006, Madrid, Spain

    Juan Manuel Muñoz Guijosa & Víctor Rodríguez de la Cruz

Authors
  1. Daniel Fernández Caballero
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  2. Juan Manuel Muñoz Guijosa
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  3. Víctor Rodríguez de la Cruz
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Correspondence to Daniel Fernández Caballero.

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Caballero, D.F., Guijosa, J.M.M. & de la Cruz, V.R. Generalized spiral torsion spring energetic model. Arch Appl Mech 88, 999–1008 (2018). https://doi.org/10.1007/s00419-018-1354-1

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  • DOI: https://doi.org/10.1007/s00419-018-1354-1

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