The bifurcation and chaotic behavior of a parallel platetype structure with nonlinear elastic support in axial flow were investigated. By assuming that all the plates have the same deflections at any instant, and considering the effect of cubic elastic spring on the platetype beam, the partial differential equation of the system was transformed to the firstorderstate equation. Based on this, numerical simulations show that the parallel platetype structure has rich nonlinear dynamics. The complex bifurcations and chaotic motions were detected by analyzing several key system parameters, and the route to chaos was shown to be via classical perioddoubling bifurcations.
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王琳,倪樵,黄玉盈.流动压力作用下板状叠层结构的分岔与混沌[J].动力学与控制学报,2006,4(1):32~36; Wang Lin, Ni Qiao, Huang Yuying. Bufurcation and chaos in a parallel platetype structure under flowing pressure[J]. Journal of Dynamics and Control,2006,4(1):32-36.