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General Solution of the Problem of Large Deflection of an Annular Membrane under Pressure

Published online by Cambridge University Press:  07 June 2016

T Y Na ,
G M Kurajian  and
J P Chiou
T Y Na
Affiliation:
University of Michigan-Dearborn
G M Kurajian
Affiliation:
University of Michigan-Dearborn
J P Chiou
Affiliation:
University of Detroit
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Summary

The non-linear boundary-value problem resulting from an analysis of the stresses and deflections of an annular membrane is transformed into an initial-value problem, replacing the iterative and series methods of Pifko and Goldberg. A general solution valid for the complete range of values of the ratio of inner and outer radii is obtained and tabulated by this non-iterative method.

Type
Research Article
Information
Aeronautical Quarterly , Volume 27 , Issue 3 , August 1976 , pp. 195 - 200
Copyright
Copyright © Royal Aeronautical Society. 1976

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References

1 Pifko, A B Goldberg, M A Iterative and power series solutions for the large deflection of an annular membrane. AIAA Journal, Vol 2, pp 1340–1342, 1964.Google Scholar
2 Na, T Y Transforming boundary conditions to initial conditions for ordinary differential equations. Society for Industrial and Applied Mathematics (SIAM) Review, Vol 9, pp 204–210, 1967.Google Scholar
3 Na, T Y Further extension on transforming from boundary value problems. Society for Industrial and Applied Mathematics (SIAM) Review, Vol 10, pp 85–87, 1968.Google Scholar