Parametric instability of a beam due to axial excitations and to boundary conditions

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 2, 1998, Pages 461-467

  Dufour, R ^a   Berlioz, A ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MODAL ANALYSIS; STRUCTURAL ANALYSIS; SYSTEM STABILITY;

FLOQUET'S THEORY; PARAMETRIC INSTABILITY; RAYLEIGH-RITZ METHOD;

BEAMS AND GIRDERS;

EID: 0032050076     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893852     Document Type: Article

References (17)

1. Berlioz, A., Der Hagopian, J., Dufour, R., and Draoui, E., 1996, “Dynamic Behavior of a Drill-String: Experimental Investigation of Lateral Instabilities,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 118, pp. 292-298.
2. Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, Inc.
3. Dunayevski, V. A., and Judnis, A., 1985, “Dynamic Stability of Drillstrings under Fluctuating Weight-On-Bit,” SPE 14329, 60th Annual Technical Conference and Exhibition of the Society of Petroleum, San Francisco.
4. Evan-Iwanowski, R. M., 1976, Resonance Oscillations in Mechanical Systems, Elsevier, New York.
5. Friedmann, P. P., 1990, “Numerical Methods for the Treatment of Periodic Systems with Applications to Structural Dynamics and Helicopter Rotor Dynamics,” Computer & Structures, Vol. 35, No. 4, pp. 329-347.
6. Friedmann, P., Hammond, C. E., and Tze-Hsin Woo, 1977, “Efficient Numerical Treatment of Periodic Systems with Application to Stability Problems,” Int. J. for Num. Methods in Eng., Vol. 11, pp. 1117-1136.
7. Guttalu, R. S., and Flashner, H., 1996, “Stability Analysis of Periodic Systems by Truncated Point Mapping,” J. of Sound and Vibration, Vol. 189, pp. 33-54.
8. Hsu, C. S., 1963, “On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom,” ASME Journal of Applied Mechanics, Vol. 30, pp. 367-372.
9. Iwatsubo, T., Saígo, M., and Sugiyama Y., 1973, “Parametric Instability of Clamped-Clamped and Clamped-Simply Supported Columns Under Periodic Axial Load,” J. of Sound and Vibration, Vol. 30, No. 1, pp. 65-77.
10. Lalanne, M., and Ferraris, G., 1990, Rotordynamics Prediction in Engineering, John Wiley & Sons.
11. Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, John Wiley, New York.
12. Nelson, H. D., and McVaugh, J. M., 1976, “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” ASME Journal of Engineering for Industry, pp. 593-600.
13. Sinha, S. C., and Wu, D.-H., 1991, “An Efficient Computational Scheme for the Analysis of Periodic Systems,” J. of Sound and Vibration, Vol. 151, pp. 91-117.
14. Sinha, S. C., Wu, D.-H., Juneja, V., and Joseph, P., 1993, “Analysis of Dynamic Systems with Periodically Varying Parameters via Chebyshev Polynomials,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 115, pp. 96-102.
15. Unger, A., and Brull, M. A., 1981, “Parametric Instability of a Rotating Shaft Due to Pulsating Torque,” ASME Journal of Applied Mechanics, Vol. 48, pp. 948-958.
16. Ziegler, H., 1977, Principles of Structural Stability, 2nd edition, Basel, Stuttgart, Birkhaser.
17. Zorzi, E. S., and Nelson, H. D., 1980, “The Dynamics of Rotor-Bearing Systems With’Axial Torque. A Finite Element Approach,” ASME Journal of Mechanical in Design, pp. 158-161.