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A Finite-Difference Approximation to a Non-Self-Adjoint Eigensystem

Published online by Cambridge University Press:  04 July 2016

B. Saravanos
B. Saravanos*
Affiliation:
Department of Aeronautical Engineering, Lanchester College of Technology, Coventry
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Extract

The solution of some non-self-adjoint eigensystems describing the elastic instability of structural elements requires essentially the determination of the minimum value of a parameter associated with the eigenvalues. Usually, a substantial programme of computation is implicit in this type of system.

During a preliminary consideration of possible methods of practical computation for a certain problem of this kind, which is currently being investigated by the author, the question arose concerning the suitability of a finite-difference approximation for the purpose. The object of such an approximation was to provide a relatively rapid, if crude, means for a first estimate of the solution by desk-calculation methods.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 647 , November 1964 , pp. 775 - 777
Copyright
Copyright © Royal Aeronautical Society 1964

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References

1.Beck, M. Die Knicklast des einseitig eingespannten tangential gedrückten Stabes. Zeitschrift für angewandte Mathematik und Physik, Vol. Ill, 1952 (Basle, Switzerland).Google Scholar
2.Ince, E. L.Ordinary Differential Equations. Dover Publications Ed., 1956.Google Scholar
3.Osborne, M. R.h 2-Extrapolation in Eigenvalue Problems: Quarterly Journal of Mechanics and Applied Mathematics, Vol. XIII, Oxford, 1960.Google Scholar