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What Is the Optimal Shape of a Snap Ring?

[+] Author Affiliations
Niclas Strömberg

Jönköping University, Jönköping, Sweden

Paper No. DETC2007-35052, pp. 407-412; 6 pages
doi:10.1115/DETC2007-35052
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

In this paper a non-linear elastic ring is studied by using a method for contact/impact problems. The method is developed for frictional contact, impact and rolling between a two-dimensional hyperelastic body and rigid foundations. The elastic properties of the body are defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St. Venant law. The rigid supports are described by smooth functions. By introducing the mean value impulses, these functions are utilized to formulate new contact/impact laws. The support functions appear explicitly in the variational formulation of Signorini, and implicitly in the maximal dissipation principle of Coulomb. A feature of this approach is that no search algorithm is needed. Another feature is that the normal and tangential directions of the supports are well defined. The above constitutive assumptions together with the law of motion, which is written on velocity form, define the governing equations of the system. These are solved by a nonsmooth Newton method. The method is utilized to study the contact pressure between a snap ring and a rigid groove which has the shape of a perfect circle. It is obvious that if the snap ring also has the shape of a perfect circle, then the distribution of the contact pressure will be uneven. An even distribution of the contact pressure is preferable in order to improve function and increase lifetime. The question that is considered in this paper is how the shape of the ring should be designed in order to produce this type of contact pressure.

Copyright © 2007 by ASME
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