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An experimental method for recording curvature contours in flexed elastic plates

Technique by which contours of equal resolved curvature can be defined by the superposition of two Salet-Ikeda slope photographs is described by authors

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Summary

In two previous papers describing the Salet-Ikeda slope contouring method and the Martinelli-Ronchi point-by-point curvature method, definition of curvature over the whole field of a flexed elastic plate was the ultimate objective.

This paper describes briefly an experimental technique by which contours of equal resolved curvature can be defined by the superposition of two Salet-Ikeda slope photographs.

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Abbreviations

f :

focal length of lens Salet-Ikeda technique

p :

perpendicular distance of concentrated load from encastré boundary Michell

r n :

radius of target circle Salet-Ikeda

x :

co-ordinate

y :

co-ordinate

ω:

lateral deflection of middle plane

D :

modulus of plate rigidity

W :

concentrated lateral load

ν:

Poisson's ratio

ϕ:

partial slope

κ:

partial slope parameter for directiony

μ:

partial slope parameter for directionx

η:

partial curvature parameter for directiony

ψ:

partial curvature parameter for directionx

τ:

twist parameter (x, y)

References

  1. Duncan, J. P., andBrown, C. J. E., “Slope Conlours in Flexed Elastic Plates by Salet-Ikeda Technique,”Proc. of First International Congress on Experimental Mechanics, Edited byB. E. Rossi, Pergamon Press, New York, 1963.

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  2. Duncan, J. P., andSabin, P. G., “Determination of Curvatures in Flexed Elastic Plates by the Martinelli-Ronchi Technique,”Experimental Mechanics,3 (12),285–293, December1963.

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  3. Duncan, J. P., “Newly Developed Optical Techniques for Experimental Stress Analysis,”(New Series) of Bull. Mech. Eng. Education,2 (2)August, 1963.

  4. Michell, J. H., “The Flexure of a Circular Plate,”London Math. Soc. Vol.XXXIV, 223–238 (1901).

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Authors and Affiliations

  1. University of Sheffield, England

    J. P. Duncan (Professor of Mechanical Engineering) & P. G. Sabin (Research Student)

Authors
  1. J. P. Duncan
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  2. P. G. Sabin
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Duncan, J.P., Sabin, P.G. An experimental method for recording curvature contours in flexed elastic plates. Experimental Mechanics 5, 22–28 (1965). https://doi.org/10.1007/BF02320900

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  • DOI: https://doi.org/10.1007/BF02320900

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