非线性连接梁形结构弯曲振动的分岔

Bifurcation of Bending Vibration of Two Euler-Bernoulli Beams Jointed by a Nonliner Flexible Joint

建立了具有非线性连接结构的弹性组合梁的动力学方程 ,求出系统的分岔方程 ,得出分岔图 ,并求出了物理参数域下的转迁集 .用奇异性理论分析了连接结构参数变化对系统的动力学特性的影响 ,发现连接结构参数对整个系统的稳定性及解的特性有很大的影响 .

In this paper the bifurcation equation of an analytical model, which consists of two Euler Bernoulli beams joined by a flexible joint with linear and cubic stiffness, is derived. The transition varieties in the physical parametric plane and the bifurcation diagram are given by means of singularity analysis and some phenomena are revealed.