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Volume 9, issue 2 | Copyright
Mech. Sci., 9, 337-348, 2018
https://doi.org/10.5194/ms-9-337-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 10 Oct 2018

Research article | 10 Oct 2018

Study on the large-displacement behaviour of a spiral spring with variations of cross-section, orthotropy and prestress

Giuseppe Radaelli1,2 and Just L. Herder1 Giuseppe Radaelli and Just L. Herder
  • 1Dept. Precision and Microsystems Engineering, Delft University of Technology, Delft, the Netherlands
  • 2Laevo BV, Molengraaffsingel 12–14, Delft, the Netherlands

Abstract. This work is dedicated to the study of the large-displacement behaviour of a spiral spring. Parameters that influence the local torsion stiffness of the beam that constitutes the spiral are varied and their effect is studied. Cross-sectional shape, orthotropic material orientation and prestress are the three classes of parameters that are varied. The effect that the local change in torsional stiffness has on the overall behaviour is illustrated in a linearised way by comparing in-plane and out-of-plane stiffnesses, and nonlinearly, by inspecting a graphical representation of the potential energy field of the system. Several embodiments composed of multiple spirals are showed to illustrate how the understanding of the nonlinear behaviour could be exploited in conceptual design of compliant mechanisms.

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Elastic systems that undergo large deformations are difficult to analyse because, while deforming, their mechanical properties change nonlinearly, which makes it difficult for designers to use them. In this work we make use of a graphical representation of the mechanical behaviour of a selected elastic object, a spiral spring, to facilitate the understanding of its behaviour. The use of these graphs is illustrated by generating peculiar examples of systems with many stable configurations.
Elastic systems that undergo large deformations are difficult to analyse because, while...
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