Buckling Solutions of Rectangular Mindlin Plates under Uniform Shear
Publication: Journal of Engineering Mechanics
Volume 120, Issue 11
0733-9399(1994)120:11(2462)/asset/01af6c46-6587-432a-b513-4d8594f35b18/assets/(asce)0733-9399(1994)120:11(2462).fp.png)
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bergmann, S. U., and Reissner, H. (1932). “Neuere probleme aus der flugzeugstatik über die knickung von rechteckigen platten Schubbeanspruchung.” ZPM, Vol. 23, 6–12 (in German).
2.
Bollenrath, F. (1931). “Wrinkling phenomena of thin flat plates subjected to shear stresses.” NACA, Tech. Memo., No. 601.
3.
Bruneller, L. J., and Oyibo, G. A. (1983). “Generic buckling curves for specially orthotropic rectangular plates.” AIAA J., 21(8), 1150–1156.
4.
Budiansky, B., and Connor, R. W. (1948). “Buckling stresses of clamped rectangular flat plates in shear.” NACA, Techn. Note No. 1559.
5.
Cook, I. T., and Rokey, K. C. (1963). “Shear buckling of rectangular plates with mixed condition.” Aero. Quart., 14(4), 349–356.
6.
Cox, H. L. (1933). “Summary of the present state of knowledge regarding sheet metal construction.” R & M, No. 1553, 423–442.
7.
Davenport, O. B., and Bert, C. W. (1972). “Buckling of orthotropic, curved, sandwich panels subjected to shear edge loads.” J. Aircraft, 9(7), 477–480.
8.
Housner, J. M., and Stein, M. (1975). “Numerical analysis and parametric studies of the buckling of composite orthotropic compression and shear panels.” NASA Tech. Note, TN D‐7996, Fort Wayne, Tex.
9.
Iguchi, S. (1938). “Die knickung der rechteckigen platte durch Schubkräfte,” Ing. Archiv, Vol. 9, 1–12 (in German).
10.
Irschik, H. (1985). “Membrane type eigenmotion of Mindlin plates.” Acta Mechanica, Vol. 55, 1–20.
11.
Kollbrunner, C. F., and Herrmann, G. (1956). “Einfluß des Schubes auf die Stabilität der platten im elastischen bereich.” Mittign. der T.K.V.S.B., Vol. 14, Zurich, Verlag, V.S.B (in German).
12.
Leggett, D. M. A. (1937). “The elastic stability of a long and slightly bent rectanglar plate under uniform shear.” Proc., Royal Society, London, England, Vol. A., 162, 62–83.
13.
Libove, C. (1981). “Buckling of orthotropic plates.” Guide to stability design criteria for metal structures, 3rd Ed., John Wiley and Sons, New York, N.Y.
14.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates.” J. Appl. Mech., 18(March), 1031–1036.
15.
Moheit, W. (1942). “Schubbeulung rechteckiger platten mit eingespanten rändern,” Stahlbau, Vol. 13, 39–44 (in German).
16.
Narita, Y., and Leissa, A. W. (1990). “Buckling studies for simply supported symmetrically laminated rectangular plates.” Int. J. Mech. Sci., 32(11), 909–924.
17.
Oyibo, G. A. (1981). “The use of affine transformations in the analysis of stability and vibrations of orthotropic plates,” PhD thesis, Rennselaer Polytechnic Institute, Troy, N.Y.
18.
Roufaeil, O. L., and Dawe, D. J. (1982). “Rayleigh‐Ritz vibration analysis of rectangular Mindlin plates subjected to membrane stresses.” J. Sound and Vibration, 85(2), 263–275.
19.
Reissner, E. (1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech., 12(June), 69–76.
20.
Seydel, E. (1933). “Ûber das ausbeulen von recteckige isotroper oder othorgonal‐anithrtropen platten beir schubbeanspruchung,” Ing. Archiv, Vol. 4, 169–191 (in German).
21.
Smith, B. T. et al. (1976). Matrix Eigensystem Routines: EISPACK guide, 2nd Ed., Springer‐Verlag, Berlin, Germany (in German).
22.
Smith, R. C. T. (1946). “The buckling of plywood plates in shear.” Australian C.S.I.R.O., Rept. SM 51, Aeronautical Research Labs., Melbourne, Australia.
23.
Southwell, R. V., and Skan, S. W. (1924). “On the stability under shearing forces of a flat elastic strip.” Proc., Royal Society, London, England, Vol. A, 105, 582–607.
24.
Stein, O. (1934). “Die Stabilität der blechträgerstehbleche im zweiachsigen spannungszustand.” Stahlbau, Vol. 7, 57–60 (in German).
25.
Stein, M., and Housner, J. M. (1978). “Application of a trigonometric finite difference procedure to numerical analysis of compressive and shear buckling of orthotropic panels.” Comp. and Struct., 9(1), 17–25.
26.
Stein, M., and Neff, J. (1947). “Buckling stresses of simply supported rectangular flat plates in shear.” NACA, Tech Note No. 1222.
27.
Stowell, E. Z. (1943). “Critical shear stress of an infinitely long flat plate with equal elastic restraints against rotation along the parallel edges.” NACA W.R. L‐476 (formerly, NACA ARR No. 3K12).
28.
Timoshenko, S. P. (1921). “Über die Stabilität versteifter platten.” Eisenbau, Vol. 12, 147–163.
29.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw‐Hill, New York, N.Y.
30.
Wang, C. M., Liew, K. M., Xiang, Y., and Kitipornchai, S. (1993). “Buckling of rectangular Mindlin plates with internal line supports.” Int. J. Solids and Struct., 30(1), 1–17.
31.
Wang, C. M., Kitipornchai, S., and iang, Y. (1994). “Shear effect factor for Mindlin plate buckling.” Dept. of Civ. Engrg. Res. Rep. No. 148, January, University of Queensland, Queensland, Australia.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 11 • November 1994
Pages: 2462 - 2470
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 16, 1993
Published online: Nov 1, 1994
Published in print: Nov 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.