Abstract
The stability of a ring confined by a rigid boundary, subjected to circumferential end loads is investigated by an experimental approach. Dimensional analysis was used to establish the basic relationship of the critical buckling stress with material properties, geometric dimensions and initial geometric imperfections. The coefficients in the relationship were obtained experimentally. Compared to other theoretical methods, this approach is very simple, straightforward and accurately fits the experimental data. Therefore, it is suitable for practical applications.
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References
Lo, H., Bogdanoff, J.L., Goldberg, J.E. and Crawford, R.F., “A Buckling Problem of a Circular Ring,” Proc. 4th U.S. Nat. Cong. of Appl. Mech., ASME, 691–695 (1962).
Hsu, P.T., Elkon, J. andPian, T.H.H., “Note on the Instability of Circular Rings Confined to a Rigid Boundary,”Trans. ASME, J. Appl. Mech.,31 (3),559–562 (Sept.1964).
Chan, H.C. andMcMinn, S.J., “The Stability of Uniformly Compressed Ring Surrounded by a Rigid Circular Surface,”,Int. J. Mech. Sci., Pergamon Press Ltd., Great Britain,8,433–442 (1966).
Chan, H.C. andMcMinn, S.J., “The Stability of the Steel Linear of a Prestressed Concrete Pressure Vessel,”Nuclear Eng. and Design,3,66–73 (1966).
Bucciarelli Jr. L.L., andPian, T.H.H., “Effect of Initial Imperfections on the Instability of a Ring Confined in an Imperfect Rigid Boundary,”Trans. ASME, J. Appl. Mech.,34 (4),979–984 (Dec.1967).
Chicurel, R., “Shrink Buckling of Thin Circular Rings,”Trans. ASME, J. Appl. Mech.,35,608–610 (Sept.1968).
Timoshenko, S.P., andGere, J.M., “Theory of Elastic Stability,”2nd Ed., McGraw-Hill, New York (1961).
El-Bayoumy, L., “Buckling of a Circular Elastic Ring Confined to a Uniformly Contracting Circular Boundary,”Trans. ASME, J. Appl. Mech.,39 (3),758–766 (1972).
Liszka, T., andTrojnacki, A., “The Stability of an Assembly of Two Interference-Fitting Thin Elastic Rings,”Archiwum Budowy Maszyn, Zeszyt 3, 535–548 (1978).
Soong, T.C., and Choi, I., “Buckling of an Elastic Elliptical Ring Inside a Rigid Boundary,” Trans. ASME, J. Appl. Mech., 1–6 (1985).
Murphy, G., “Similitude in Engineering,”The Ronald Press Company, New York (1950).
Steel, R.G.D., andTorrie, J.H., “Principles and Procedures of Statistics,”McGraw-Hill Book Company, Inc., New York (1960).
Walpole, R., andMyers, R.H., “Probability and Statistics for Engineers and Scientists,”3rd Ed., Macmillan Publishing Company, New York (1985).
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Sun, C., Shaw, W.J.D. & Vinogradov, A.M. Instability of confined rings: an experimental approach. Experimental Mechanics 35, 97–103 (1995). https://doi.org/10.1007/BF02326466
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DOI: https://doi.org/10.1007/BF02326466