论文部分内容阅读
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.
The dynamic response of the non-linear elastic simply supported beam subjected to axial forces and transverse periodic load is studied. Melnikov method is used to consider the dynamic behavior of the system whose post-buckling path is steady. 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 on the 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.