Dynamics of a Flexible Cantilever Beam Carrying a Moving Mass

Nonlinear Dynamics

Volumn 15, Issue 2, 1998, Pages 137-154

  Siddiqui, Sultan A Q ^a   Golnaraghi, M Farid ^a   Heppler, Glenn R ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Beam carrying a moving mass; Internal resonance; Kinematic nonlinearities

Indexed keywords

APPROXIMATION THEORY; DYNAMIC RESPONSE; EQUATIONS OF MOTION; FLEXIBLE STRUCTURES; KINEMATICS; NONLINEAR SYSTEMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; STRUCTURAL ANALYSIS;

EULER-BERNOULI BEAMS; FLEXIBLE CANTILEVER BEAMS; RAYLEIGH-RITZ METHOD;

BEAMS AND GIRDERS;

EID: 0032003303     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008205904691     Document Type: Article

References (20)

1. Golnaraghi, M. F., 'Vibration suppression of flexible structures using internal resonance', Mechanics Research Communications Journal 18(2/3), 1991, 135-143.
2. Golnaraghi, M. F., 'Regulation of flexible structures via nonlinear coupling', Journal of Dynamics and Control 1, 1991, 405-428.
3. Stokes, G. G., 'Discussion of a differential equation relating to the breaking of railway bridges', Transactions of Cambridge Philosophical Society 8, 1849, 707.
4. Ayre, R. S., Jacobson, L. S., and Hsu, C. S., 'Transverse vibration of one and two-span beams under the action of a moving mass load', in Proceedings of the First U.S. National Congress on Applied Mechanics, Chicago, June 11-16, 1951, pp. 81-90.
5. Inglis, C. E., A Mathematical Treatise on Vibrations in Railway Budges, Cambridge University Press, London, 1934.
6. Hillerborg, A., Dynamic Influences of Smoothly Running Loads on Simply Supported Girders, Kungl Tekniska Hogskolan, Stockholm, Sweden, 1951.
7. Fryba, L., Vibration of Solids and Structures under Moving Loads, Noordhoff, Groningen, The Netherlands, 1972.
8. Florence, A. L., 'Traveling force on a Timoshenko beam', Journal of Applied Mechanics 1965, 351-357.
9. Steele, C. R., 'The finite beam with a moving load', Journal of Applied Mechanics 1967, 111-118.
10. Stanisic, M. M., 'On a new theory concerning the dynamical behaviour of structures carrying moving masses', Ingenieur-Archiv 55, 1985, 176-185.
11. Hayashikawa, T. and Watanabe, N., 'Dynamic behaviour of continuous beams with moving loads', Journal of the Engineering Mechanics Division, ASCE 107(EM1), 1981, 229-246.
12. Akin, J. E. and Mofid, M., 'Numerical solution for response of beams with moving mass', Journal of Structural Engineering 115(1), 1989, 120-131.
13. Cifuentes, A. O., 'Dynamic response of a beam excited by a moving mass', Finite Elements in Analysis and Design 5, 1989, 237-246.
14. Lee, H. P., 'Dynamic response of a beam with moving mass', Journal of Sound and Vibration 191(2), 1996, 289-294.
15. Michaltsos, G., Sophianopoulos, D., and Kounadis, A. N., 'The effect of a moving mass and other parameters on the dynamic response of a simply supported beam', Journal of Sound and Vibration 191(3), 1996, 357-362.
16. Khalily, F., Golnaraghi, M. F., and Heppler, G. R., On the dynamic behaviour of a flexible beam carrying a moving mass', Nonlinear Dynamics 5, 1994, 493-513.
17. Siddiqui, S. A. Q. and Golnaraghi, M. F., 'Vibration suppression in a flexible gyroscopic system using modal coupling strategies', Mathematical Problems in Engineering 2, 1996, 107-129.
18. Siddiqui, S. A. Q. and Golnaraghi, M. F., 'A new vibration regulation strategy and stability analysis for a flexible gyroscopic system', Journal of Sound and Vibration 193(2), 1996, 465-481.
19. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
20. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., Numerical Recipes: The Art of Scientific Computing, second edition, Cambridge University Press, Cambridge, 1992.