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CHAOTIC BELT PHENOMENA IN NONLINEAR ELASTIC BEAM

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The chaotic motions of axial compressed nonlinear elastic beam subjected totransverse load were studied. The damping force in the system is nonlinear. Consideringmaterial and geometric nonlinearity, nonlinear governing equation of the system wasderived. By use of nonlinear Galerkin method, differential dynamic system was set up.Melnikov method was used to analyze the characters of the system. The results showed thatchaos may occur in the system when the load parameters P0 and f satisfy some conditions.The zone of chaotic motion was belted. The route from subharmonic bifurcation to chaoswas analyzed. The critical conditions that chaos occurs were determined.

chaossubharmonic bifurcationheteroclinic orbitperiodic orbit

张年梅、杨桂通

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Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China

国家自然科学基金

10172063

2003

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

影响因子：0.294
ISSN：0253-4827
年,卷(期)：2003.24(5)
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