Experimental verification of tlie importance of The nonlinear curvature in the response of a cantilever beam

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 118, Issue 1, 1996, Pages 21-27

  Anderson, T J ^a   Nayfeh, A H ^b   Balachandran, B ^c  

^a UNIVERSITY OF MEMPHIS   (United States)

^b State University   (United States)

^c UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; BENDING (FORMING); BOUNDARY CONDITIONS; DAMPING; DYNAMIC RESPONSE; GRAVITATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES; STIFFNESS;

CANTILEVER BEAM; NONLINEAR CURVATURE; NONLINEAR INERTIA; POISSON EFFECTS;

BEAMS AND GIRDERS;

EID: 0029774649     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2889630     Document Type: Article

References (12)

1. Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Translated by V. I. Weingarten et al., Holden-Day, CA.
2. Crespo da Silva, M. R. M., and Glynn, C. C, 1978a, “Non-Linear Flexural-Flexural-Torsional Dynamics of Inextensional Beams-I. Equations of Motion,” J. Struct. Meek, Vol. 6, No, 4, pp. 437-448.
3. Crespo da Silva, M. R. M., and Glynn, C. C, 1978b, “Non-Linear Flexural-Flexural-Torsional Dynamics of Inextensional Beams-II. Forced Motion,” J. Struct. Mech., Vol. 6, No. 4, pp. 449-461.
4. Dugundji, J., and Mukhopadhyay, V., 1973, “Lateral Bending-Torsion Vibrations of a Thin Beam Under Parametric Excitation,” ASME Journal of Applied Mechanics, Vol, 40, pp. 693-698.
5. Evan-Iwanowski, R. M., Sanford, W. F., and Kehagioglou, T., 1970, “Nonstationary Parametric Response of a Non-Linear Column,” Dev. Theor. Appl. Mech., Vol. 5, pp. 715-743.
6. Evensen, H. A., and Evan-lwanowski, R. M., 1966, “Effects of Longitudinal Inertia upon the Parametric Response of Elastic Columns,” ASME Journal of Applied Mechanics, Vol, 33, pp, 141-148.
7. Haight, E. C, and King, W. W., 1971, “Stability of Parametrically Excited Vibrations of an Elastic Rod,” Dev. Theor. Appl. Mech., Vol. 5, pp. 677-714.
8. Moody, M. L., 1967, “The Parametric Response of Imperfect Columns,” Developments in Mechanics, Vol. 4, Proceedings of the Tenth Midwestern Mechanics Conference, pp. 329-346.
9. Nayfeh, A. H., 1981, Introduction to Perturbation Techniques, Wiley, New York.
10. Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New-York.
11. Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, Wiley, New York.
12. Nayfeh, A. H., and Pai, P. P., 1989, “Non-Linear Non-Planar Parametric Responses of an Inextensional Beam,” Int. J. Non-lin. Mech., Vol. 24, No. 2, pp. 139-158.