Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Modified complementary variational principles for a boundary-value problem in twisting of ring sectors

Authors: A. M. Arthurs and R. C. Duggan
Journal: Quart. Appl. Math. 33 (1975), 304-307
MSC: Primary 73.49
DOI: https://doi.org/10.1090/qam/449131
MathSciNet review: 449131
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Abstract: New dual extremum principles and error bounds for the problem of stress in close-coiled helical springs are presented. An accurate variational solution is obtained in an illustrative calculation.

References [Enhancements On Off] (What's this?)

  • [1] S. Timoshenko, Theory of elasticity, New York, 1934, pp. 355-361.
  • [2] N. Anderson and A. M. Arthurs, Quart. Appl. Math., 33, 87-89 (1975) MR 0446025
  • [3] J. L. Synge, Quart. Appl. Math., 33, 91-92 (1975) MR 0446026
  • [4] A. M. Arthurs, Complementary variational principles, Oxford, 1970
  • [5] A. M. Arthurs, J. Math. Anal. Appl., to appear
  • [6] A. M. Arthurs, J. Math. Anal. Appl. 41, 781-795 (1973) MR 0386299

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DOI: https://doi.org/10.1090/qam/449131
Article copyright: © Copyright 1975 American Mathematical Society

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