Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-22T06:31:01.947Z Has data issue: false hasContentIssue false

The Validity of the Initial Strain Concept

Published online by Cambridge University Press:  04 July 2016

J. H. Argyris
Affiliation:
Department of Aeronautics, Imperial College of Science and Technology
S. Kelsey
Affiliation:
Department of Aeronautics, Imperial College of Science and Technology

Extract

We must thank Dr. Grzedzielski for the clarification of his argument and notation contained in his second note. Unfortunately, this note only shows more clearly the fundamental misconceptions and errors in his arguments. Our own argument as to the generality and validity of the initial strain concept remains unaffected.

In our previous note, we were concerned to explain the initial strain concept, which Dr. Grzedzielski had criticised as “ an oversimplification not generally admissible “ both in the calculation of thermal stresses and as a device to simulate the effects of structural cut-outs and modifications. Here, we prove independently by a direct consideration of the compatibility conditions in the final structure, that the modified stress distribution given by our analysis is the correct one—regardless of the extent of the coupling in the flexibility matrix.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1961

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.Grzedzielski, A. L. M. (1960). Note on Some Applications of the Matrix Force Method of Structural Analysis. Journal of the Royal Aeronautical Society, Vol. 64, No. 594, June 1960.CrossRefGoogle Scholar
2.Grzedzielski, A. L. M. (1961). Note on the Initial Strain Concept. Journal of the Royal Aeronautical Society, Vol. 65, p. 127, February 1961.CrossRefGoogle Scholar
3.Argyris, J. H. and Kelsey, S. (1960). Initial Strains in the Matrix Force Method of Structural Analysis. Journal of the Royal Aeronautical Society, Vol. 64, No. 596, August 1960.CrossRefGoogle Scholar
4.Argyris, J. H. and Kelsey, S. (1957). The Matrix Force Method of Structural Analysis and Some New Applications. A.R.C. R. & M. 3034, 1957.Google Scholar
5.Argyris, J. H. and Kelsey, S. (1956). Structural Analysis by the Matrix Force Method With Applications to Air craft Wings. Jahrbuch 1956 der W.G.L., pp. 7898.Google Scholar
6.Argyris, J. H. (1954). Energy Theorems and Structural Analysis, Part I; General Theory. Butterworth Scientific Publications, 1960, also, Aircraft Engineering XXVI, No. 308, pp. 347356, No. 309, pp. 383-387, 1954; No. 312, pp. 42-58, No. 313, pp. 80-94, No. 314, pp. 125-134, No. 315, pp. 145-158, 1955.Google Scholar
7.Argyris, J. H. and Kelsey, S. (1959). The Analysis of Fuselages of Arbitrary Cross-Section and Taper. Aircraft Engineering XXXI, No. 361, pp. 6274, No. 362, pp. 101- 112, No. 363, pp. 133-143, No. 364, pp. 169-180, No. 365, pp. 192-203, No. 366, pp. 244-256, No. 367, pp. 272-283, 1959.CrossRefGoogle Scholar
8.Goodey, W. J. (1955). Notes on a General Method of Treatment of Structural Discontinuities. Journal of the Royal Aeronautical Society, Vol. 59, No. 538, 1955.CrossRefGoogle Scholar
9.Goodey, W. J. (1959). Solution of Modified Linear Simultaneous Equations. Aircraft Engineering XXXI, No. 370, 1959.CrossRefGoogle Scholar
10.Timoshenko, S. and Goodier, J. N. (1951). Theory of Elasticity, 2nd Edition, McGraw-Hill, 1951.Google Scholar
11.Falkenheiner, H. (1951). La Systematisation du Calcul Hyperstatique d’après l’Hypothèse du Schema du Champs Homogène, La Recherche Aeronautique, No. 23, 1951.Google Scholar