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Solution of the Non-Linear Differential Equations for Finite Bending of a Thin-Walled Tube by Parameter Differentiation

Published online by Cambridge University Press:  07 June 2016

T Y Na  and
C E Turski
T Y Na
Affiliation:
University of Michigan, Dearborn
C E Turski
Affiliation:
University of Michigan, Dearborn
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Summary

The method of parameter differentiation is applied to the solution of the non-linear, two-point, ordinary differential equations resulting from an analysis of the finite bending of a thin-walled tube. Starting from a given set of solutions of the differential equations for a particular value of the curvature parameter α, solutions for a range of values of α can be obtained by this method non-iteratively. Very close agreement was obtained with solutions using iterative numerical methods.

Type
Research Article
Information
Aeronautical Quarterly , Volume 25 , Issue 1 , February 1974 , pp. 14 - 18
Copyright
Copyright © Royal Aeronautical Society. 1974

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References

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