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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(2):197-202; doi:10.1093/qjmam/29.2.197
© 1976 by Oxford University Press
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UPPER AND LOWER BOUNDS FOR THE PROBLEM OF A MEMBRANE WITH ELASTIC SUPPORT

A. M. ARTHURS and R. C. DUGGAN

( Department of Mathematics, University of York England )

Upper and lower bounds associated with the problem of a membrane with elastic support are derived from new hypercircle results and related extremum principles. Calculations are performed for a membrane in the form of a right-angled isosceles triangle and an accurate approximate solution is obtained.


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