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Nonlinear Dynamics of Composite Laminated Circular Cylindrical Shell With Membranes in Thermal Environment

[+] Author Affiliations
Tao Liu, Wei Zhang, Qian Wang

Beijing University of Technology, Beijing, China

Yufei Zhang

Shenyang Aerospace University, Shenyang, China

Paper No. DETC2018-85058, pp. V006T09A031; 8 pages
  • ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Quebec City, Quebec, Canada, August 26–29, 2018
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5183-8
  • Copyright © 2018 by ASME


This paper is focused on the chaotic dynamics of a composite laminated circular cylindrical shell with radially pre-stretched membranes at both ends and clamped along a generatrix. Based on the two-degree-of-freedom non-autonomous nonlinear equations of this system, the method of multiple scales is employed to obtain the four-dimensional nonlinear averaged equation. The resonant case considered here is the primary parametric resonance-1/2 subharmonic resonance and 1:1 internal resonance. Corresponding to several selected parameters, the periodic and chaotic motions of the composite laminated circular cylindrical shell clamped along a generatrix are demonstrated by the bifurcation diagrams, the maximum Lyapunov exponents, the phase portraits, the waveforms, the power spectrums and the Poincaré map. The temperature parameter excitation shows that the Pomeau-Manneville type intermittent chaos occur under the certain initial conditions. It is also found that there exist the twin phenomena between the Pomeau-Manneville type intermittent chaos and the period-doubling bifurcation.

Copyright © 2018 by ASME



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