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The Green's function of an elliptic plate

Published online by Cambridge University Press:  26 February 2010

R. K. P. Singh
R. K. P. Singh
Affiliation:
Science College, Patna, India.
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Extract

An expression is found here for the small transverse displacement of a thin elliptic plate due to a force applied at an arbitrary point of the plate. The plate is in the form of a complete ellipse and is clamped along the boundary. The displacement is expressed in terms of infinite series in §§2–4. The convergence of the series is rapid unless the eccentricity of the ellipse is nearly unity. The simplest case in which the force is applied at the centre of the plate is considered in §5; the displacement of the centre due to this force is compared in §6 with the corresponding displacements of a circular plate and of an infinite strip.

Type
Research Article
Information
Mathematika , Volume 4 , Issue 1 , June 1957 , pp. 61 - 69
Copyright
Copyright © University College London 1957

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References

1.Love, A. E. H., Mathematical theory of elasticity (4th ed., Cambridge, 1934), 475.Google Scholar