A study of chaotic motion in elastic cylindrical shells. (English) Zbl 0942.74036
Summary: We study the chaotic motion of an elastic cylindrical shell, the dynamic equation of which contains square and cubic nonlinear terms. By means of the Galerkin approach and the Melnikov method, the critical condition for chaotic motion has been obtained. Two demonstrative examples are discussed through Poincaré mapping, phase portrait and time history.
MSC:
74H65 | Chaotic behavior of solutions to dynamical problems in solid mechanics |
74K25 | Shells |
37N15 | Dynamical systems in solid mechanics |
Keywords:
square term; cubic term; single mode model; chaotic motion; elastic cylindrical shell; Galerkin approach; Melnikov method; Poincaré mapping; phase portrait; time historyReferences:
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