非线性铰支直杆在参量激励下的同宿、异宿和次谐分叉

Bifurcation of Nonlinearly Hinged Bar Subjected to A Parametrically Periodic Excitation

本文研究了非线性铰支直杆在轴向周期力扰动下的响应问题，求出相空间中其同宿轨道、异宿轨道和次谐轨道的参数方程，给出了分叉种类和物理参数的关系以及杆发生和未发生线性失稳时出现同宿分叉、异宿分叉和次谐分叉的条件。

Bifurcation of hinged nonlinear bar under harmonically axial excitation is studied in this paper.The rela tionship between the type of bi fur cation and physicalparameters ofthe bar is presented,and conditions of bifurcation appearing are derived by means ofMelnikov method as well.