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On large deformations of elastic rings via phase-plane discussion

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Summary

 The paper presents a mathematical investigation of finite deformations of circular elastic rings under concentrated forces, that is done by a combination of phase-plane discussion and numerical calculations. Emphasis is on quantitative results utilizable in engineering practice, however, bifurcations of equilibrium are described as well. The investigation aims at the use of ring-shaped compliant elements in both macro- and micro-structures.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, Technical University of Ilmenau, PF 10 05 65, 98693 Ilmenau, Germany e-mail: jstei@mathematik.tu-ilmenau.de, , , , , , DE

    J. Steigenberger & U. Schulte

  2. Faculty of Mechanical Engineering, Technical University of Ilmenau, PF 10 05 65, 98684 Ilmenau, Germany e-mail: klaus.zimmermann@maschinenbau.tu-ilmenau.de, , , , , , DE

    K. Zimmermann

Authors
  1. J. Steigenberger
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  2. K. Zimmermann
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  3. U. Schulte
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Additional information

Received 2 February 1999; accepted for publication 22 September 1999

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Steigenberger, J., Zimmermann, K. & Schulte, U. On large deformations of elastic rings via phase-plane discussion. Archive of Applied Mechanics 70, 489–507 (2000). https://doi.org/10.1007/s004190000080

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  • DOI: https://doi.org/10.1007/s004190000080

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