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CHAOTIC BEHAVIOR IN THE NONLINEAR ELASTIC BEAM

Zhang、Nianmei、Yang、Guitong

1998固体力学学报：英文版Engineering被引 1

摘要

The dynamic response of the non-linear elastic simply supported beam subjected to axialforces and transverse periodic load is studied.Melnikov method is used to consider the dynamic behav-ior of the system whose post-buckling path is steady.The effect of the higher order terms in the con-trolling equation is taken into account.It is found that the fifth-order terms have a great influence onthe dynamic behavior of the system.The result shows that there exist either homoclinic orbits or hete-roclinic orbits in the system.In this paper,the critical values of the system entering chaotic states aregiven.The diagram of an example is shown.

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