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Tuesday, July 9 • 16:50 - 17:10
MULTI-PULSE ORBITS AND NONLINEAR DYNAMICS OF ECCENTRIC ROTATING COMPOSITE LAMINATED CIRCULAR CYLINDRICAL SHELL

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In this paper, the multi-pulse orbits and nonlinear dynamics of an eccentric rotating composite laminated circular cylindrical shell clamped along one generatrix subjected to the lateral and temperature excitations are studied in detail. Based on the two-degree-of-freedom non-autonomous nonlinear equations of the eccentric rotating circular cylindrical shell under the case of 1:2 internal resonance, we obtain the four-dimensional nonlinear averaged equation by using the method of multiple scales. According to the averaged equation, we use the theory of normal form to find the explicit formulas of normal form. Then, the multi-pulse global heteroclinic bifurcations and chaotic dynamics for the eccentric rotating circular cylindrical shell are analyzed by the extended Melnikov method. It is found that there exist the multi-pulse jumping orbits in the perturbed phase space of the averaged equation through the analysis of global dynamics. At last, in order to describe the nonlinear dynamic responses, bifurcation diagrams and the three-dimensional phase portrait are given, and we find the chaotic motions and the Shilnikov type multi-pulse orbits of the eccentric rotating circular cylindrical shell by the numerical simulation. It can be concluded that there exists the chaos for the Smale horseshoe sense for the eccentric rotating circular cylindrical shell. Therefore, it is feasible to study the nonlinear dynamics of an eccentric rotating composite laminated circular cylindrical shell system based on the theoretical method.

Moderators
EP

Elsa Piollet

Dr, Polytechnique Montréal
avatar for Mohammad Rafiee

Mohammad Rafiee

Postdoctoral Fellow, Polytechnique Montréal
Mohammad Rafiee received his Ph.D. degree in Mechanical Engineering from the University of Ottawa in 2018. Currently, he is a Postdoctoral Fellow at Polytechnique Montreal in Canada. His research interests are primarily focused on the development of advanced composite materials, smart... Read More →
AR

Annie Ross

Professor, Polytechnique Montreal

Authors

Tuesday July 9, 2019 16:50 - 17:10 EDT
St-Laurent 8
  T07 Struct. dyn. & nonlin. vib., RS02 Vibr & cntrl of nonlin mech syst

Attendees (5)