The present paper analyzes the dynamic behavior of a simply supported beam subjected to an axial transport of mass. The Galerkin method is used to discretize the problem: a high dimensional system of ordinary differential equations with linear gyroscopic part and cubic nonlinearities is obtained. The system is studied in the sub and super-critical speed ranges with emphasis on the stability and the global dynamics that exhibits special features after the first bifurcation. A sample case of a physical beam is developed and numerical results are presented concerning the convergence of the series expansion, linear subcritical behavior, bifurcation analysis and stability, and direct simulation of global postcritical dynamics. A homoclinic orbit is found in a high dimensional phase space and its stability and collapse are studied. [S0739-3717(00)00501-8]
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January 2000
Technical Papers
Nonlinear Dynamics and Bifurcations of an Axially Moving Beam
F. Pellicano,
F. Pellicano
Dip. Scienze dell’lngegneria, Universita` di Modena e Reggio Emilia, 41100 Modena, Italy
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F. Vestroni
F. Vestroni
Dip. di Ingegneria Strutturale e Geotecnica, Universita` di Roma “La Sapienza,” 00184 Roma, Italy
Search for other works by this author on:
F. Pellicano
Dip. Scienze dell’lngegneria, Universita` di Modena e Reggio Emilia, 41100 Modena, Italy
F. Vestroni
Dip. di Ingegneria Strutturale e Geotecnica, Universita` di Roma “La Sapienza,” 00184 Roma, Italy
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Aug. 1999. Associate Technical Editor: A. Vakakis.
J. Vib. Acoust. Jan 2000, 122(1): 21-30 (10 pages)
Published Online: August 1, 1999
Article history
Received:
August 1, 1999
Citation
Pellicano , F., and Vestroni , F. (August 1, 1999). "Nonlinear Dynamics and Bifurcations of an Axially Moving Beam ." ASME. J. Vib. Acoust. January 2000; 122(1): 21–30. https://doi.org/10.1115/1.568433
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