In this article, the nonlinear free vibration characteristics of isotropic oval rings are analyzed using a shear flexible cubic B-spline curved beam element. The amplitude-frequency relationships are estimated from the response history. The participation of various modes in the total response is highlighted.
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Brief Notes
1.
Sathyamoorthy, M., 1998, Nonlinear Analysis of Structures, Boca Raton, FL.
2.
Evensen, D. A., 1965, “A Theoretical and Experimental Study of the Nonlinear Flexural Vibrations of Thin Circular Rings,” Paper No. NASA TR R-227.
3.
Dowell
, E. H.
, 1967
, “On the Nonlinear Flexural Vibrations of Rings
,” AIAA J.
, 5
, pp. 1508
–1509
.4.
Sathyamoorthy
, M.
, and Pandalai
, K. A. V.
, 1971
, “Nonlinear Flexural Vibrations of Oval Rings
,” J. Aeronaut. Soc. India
,23
, pp. 1
–12
.5.
Prathap
, G.
, and Pandalai
, K. A. V.
, 1978
, “The Role of Median Surface Curvature in Large Amplitude Flexural Vibrations of Thin Shells
,” J. Sound Vib.
, 60
, pp. 119
–131
.6.
Chen
, J. C.
, and Babcock
, C. D.
, 1975
, “Nonlinear Vibration of Cylindrical Shells
,” AIAA J.
, 13
, pp. 868
–876
.7.
Patel
, B. P.
, Ganapathi
, M.
, and Saravanan
, J.
, 1999
, “Shear Flexible Field-Consistent Curved Spline Beam Element for Vibration Analysis
,” Int. J. Numer. Methods Eng.
, 46
, pp. 387
–407
.8.
Rajasekaran
, S.
, and Murray
, D. W.
, 1973
, “Incremental Finite Element Matrices
,” J. Struct. Div. ASCE
, 99
, pp. 2423
–2438
.9.
Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York.
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