Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis-Reference-Cited by-同舟云学术

Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis

Published:2000-05-01 Issue:4 Volume:122 Page:355-364
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Pellicano F.¹,Amabili M.²,Vakakis A. F.³

Affiliation:

1. Dipartimento di Scienze dell’Ingegneria, Universita` di Modena e Reggio Emilia, Modena, I-41100 Italy

2. Dipartimento di Ingegneria Industriale, Universita` di Parma, Parma, I-43100 Italy

3. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Abstract

The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part 1 of the present study, is studied by using a second order perturbation approach and direct simulations. Strong modal interactions are found when the structure is excited with small resonant loads. Modal interactions arise in the whole range of vibration amplitude, showing that the internal resonance condition makes the system non-linearizable even for extremely small amplitudes of oscillation. Stationary and nonstationary oscillations are observed and the complex nature of modal interactions is accurately analyzed. No chaotic motion is observed in the case of 1:1:1:2 internal resonance studied. [S0739-3717(00)01304-0]

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/122/4/355/5825765/355_1.pdf

Reference18 articles.

1. Amabili, M, Pellicano, F., and Vakakis, A. F., 2000, “Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells. Part 1: Equations of Motion and Numerical Results,” J. Vibr. Acoust., 122, pp. 346–354.

2. Guckenheimer, J., and Holmes, P., 1983, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, Springer-Verlag, Berlin.

3. Wiggins, S., 1990, Introduction to Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York.

4. Amabili, M., Pellicano, F., and Pai¨doussis, M. P., 1998, “Nonlinear Vibrations of Simply Supported, Circular Cylindrical Shells, Coupled to Quiescent Fluid,” J. Fluids Struct. 12, No. 7, pp. 883–918.

5. Evensen, D. A., 1967, “Nonlinear flexural vibrations of thin-walled circular cylinders,” NASA TN D-4090.

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