Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T22:48:15.733Z Has data issue: false hasContentIssue false
  • English
  • Français

Experiments with an Electrical Analogue for the Extension and Flexure of Flat Plates

Published online by Cambridge University Press:  07 June 2016

P. J. Palmer  and
S. C. Redshaw
P. J. Palmer
Affiliation:
Department of Civil Engineering, University of Birmingham
S. C. Redshaw
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

Details of the design, construction and use of an electrical resistance network for solving certain of the problems encountered in the flexure and extension of flat plates are given. Some typical experiments have been carried out with the aid of this network and the method of operation of the analogy is described. The results of these experiments are presented and they are compared with the corresponding theoretical values. The comparison is as good as could be expected in view of the limitations imposed by the very coarse mesh which was used; essentially the same results would have been obtained by the exercise of a relaxation computation, using the same size of net. No practical difficulties would be encountered in building a large network having a very fine mesh.

Type
Research Article
Information
Aeronautical Quarterly , Volume 6 , Issue 1 , February 1955 , pp. 13 - 30
Copyright
Copyright © Royal Aeronautical Society. 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Redshaw, S. C., Electrical Analogues for the Solution of Problems Concerning the Extension and Flexure of Flat Elastic Plates. A.R.C. 15,335, May 1952.Google Scholar
2. Southwell, R. V. On the Analogues Relating Flexure and Extension of Flat Plates. Quarterly Journal of Mechanics and Applied Mathematics, Vol. III, Part 3, pp. 257–270, September 1950.Google Scholar
3. Fox, L. and Southwell, R. V. Relaxation Methods Applied to Engineering Problems. VIIA, Biharmonic Analysis as Applied to the Flexure and Extension of Flat Elastic Plates. Phil. Trans. Roy. Soc, C, No. 2, Vol. I, pp. 15–56, October 1941.Google Scholar
4. Redshaw, S. C. An Electrical Potential Analyser. Proceedings of the Institution of Mechanical Engineers, 159, pp. 55–62, 1948.Google Scholar
5. Palmer, P. J. The Determination of Torsion Constants for Bulbs and Fillets by Means of an Electrical Potential Analyser. Aluminium Development Association, Research Report No. 22, December 1953.Google Scholar
6. Boscher, J. and Malavard, L. Détermination Analogique des Fonctions Biharmoniques. Bulletin No. 8. Sociéteé Française des Mécaniciens, 1953.Google Scholar
7. Liebmann, G. A Resistance-Network Analogue Method for Solving Plane Stress Problems. Associated Electrical Industries, Research Report No. A. 271, March 1953.Google Scholar
8. Timoshenko, S. and Goodier, J. N. Theory of Elasticity. McGraw-Hill, 1951.Google Scholar
9. Longman, I. M. A Method of Stress Analysis for an Elastic Solid Under Conditions of Plane Strain or Stress. The British Iron and Steel Research Association, March 1951 (Unpublished).Google Scholar
10. Timoshenko, S. Theory of Plates and Shells. McGraw-Hill, 1940.Google Scholar