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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 | References | Similar Articles | Additional Information
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.
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S. Timoshenko, Theory of elasticity, New York, 1934, pp. 355–361.
- N. Anderson and A. M. Arthurs, Complementary variational principles for a boundary-value problem in twisting of ring sectors, Quart. Appl. Math. 33 (1975/76), 87–89. MR 446025, DOI https://doi.org/10.1090/S0033-569X-1975-0446025-0
- J. L. Synge, Note on a paper by N. Anderson [Norman Anderson] and A. M. Arthurs: “Complementary variational principles for a boundary-value problem in twisting of ring sectors” (Quart. Appl. Math. 33 (1975), 87–89), Quart. Appl. Math. 33 (1975/76), 91–92. MR 446026, DOI https://doi.org/10.1090/S0033-569X-1975-0446026-3 A. M. Arthurs, Complementary variational principles, Oxford, 1970 A. M. Arthurs, J. Math. Anal. Appl., to appear
- A. M. Arthurs, Dual extremum principles and error bounds for a class of boundary value problems, J. Math. Anal. Appl. 41 (1973), 781–795. MR 386299, DOI https://doi.org/10.1016/0022-247X%2873%2990249-7
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Article copyright:
© Copyright 1975
American Mathematical Society