Abstract

The stability of a ring confined by a rigid boundary, subjected to circumferential end loads, is investigated both theoretically and experimentally. The effect of initial geometric imperfections on the buckling load is determined by assuming an initial deflection configuration as a simple sine form and the critical condition was derived from equilibrium analysis. An experimental approach was designed to verify the analytical results. Comparison with other theoretical results are also made.

Issue Section:
Research Papers
Topics:
Buckling, Stress, Deflection, Equilibrium (Physics), Stability
1.
Bucciarelli
L. L.
, and
Pian
T. H. H.
,
1967
, “
Effect of Initial Imperfections on the Instability of a Ring Confined in an Imperfect Rigid Boundary
,”
ASME Journal of Applied Mechanics
, Vol.
34
, pp.
979
–
984
.
2.
Chan
H. C.
, and
McMinn
S. J.
,
1966
, “
The Stability of Uniformly Compressed Ring Surrounded by a Rigid Circular Surface
,”
International Journal of Mechanical Science
, Pergamon Press Ltd., Great Britain, Vol.
8
, pp.
433
–
442
.
3.
Chan
H. C.
, and
McMinn
S. J.
,
1966
, “
The Stability of the Steel Liner of a Prestressed Concrete Pressure Vessel
,”
Nuclear Engineering and Design
, Vol.
3
, pp.
66
–
73
.
4.
Chicurel
R.
,
1968
, “
Shrink Buckling of Thin Circular Rings
,”
ASME Journal of Applied Mechanics
, Vol.
35
, pp.
608
–
610
.
5.
El-Bayoumy
L.
,
1972
, “
Buckling of a Circular Elastic Ring Confined to a Uniformly Contracting Circular Boundary
,”
ASME Journal of Applied Mechanics
, Vol.
39
, pp.
758
–
766
.
6.
Hsu
P. T.
,
Elkon
J.
, and
Pian
T. H. H.
,
1964
, “
Note on the Instability of Circular Rings Confined to a Rigid Boundary
,”
ASME Journal of Applied Mechanics
, Vol.
31
, pp.
559
–
562
.
7.
Liszka, T., and Trojnacki, A., 1978, “The Stability of an Assembly of Two Interference-Fitting Thin Elastic Rings,” Archiwum Budowy Maszyn, Zeszyt 3, pp. 535–548.
8.
Lo, H., Bogdanoff, J. E., Goldberg, J. L., and Crawford, R. F., 1962, “A Buckling Problem of a Circular Ring,” Proceedings of the Fourth U.S. National Congress of Applied Mechanics, ASME, pp. 691–695.
9.
Oberg, E., Jones, F. D., and Horton, H. L., 1980, Machinery’s Handbook, Industrial Press Inc.
10.
Simitses, G. J., 1976, An Introduction to the Elastic Stability of Structures, Prentice-Hall, Inc., Englewood Cliffs, NJ.
11.
Soong, T. C., and Choi, I., 1985, “Buckling of an Elastic Elliptical Ring Inside a Rigid Boundary,” ASME Journal of Applied Mechanics, pp. 1–6.
12.
Timoshenko, S. P., and Gere, J. M., 1961, Theory of Elastic Stability, 2nd Edition, McGraw-Hill, New York, NY.
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