【摘要】 分析了多参数(轴向平均速度、速度扰动幅值、黏滞阻尼、速度扰动频率)变化对非线性轴向加速梁横向振动特性的影响。在速度扰动幅值-速度扰动频率的双参平面内，通过数值方法得到了非线性轴向加速梁系统的分岔图和Poincaré映射图。确定了系统出现周期振荡和混沌振荡的参数区域，分析了出现鞍结分岔、倍化分岔的转迁规律。在双参平面内找到了使得轴向加速梁系统保持单周期稳态运动的区域，为非线性轴向加速梁结构的设计和优化提供了一定的参考。更多还原

【Abstract】 Here, effects of multiple parameters of axial average velocity, velocity disturbance amplitude, viscous damping and velocity disturbance frequency on transverse vibration characteristics of a nonlinear axially accelerated beam were analyzed. In the dual-parameter plane of velocity disturbance amplitude and velocity disturbance frequency, the bifurcation diagram and Poincaré map of a nonlinear axially accelerated beam system were obtained using the numerical method. Parameter regions of periodic oscillation and chaotic oscillation were determined, and transition laws of saddle node bifurcation and double-bifurcation were analyzed. In the dual-parameter plane, the region of the axial accelerated beam system keeping single periodic steady-state motion was found. It was shown that the study results can provide a certain reference for design and optimization of nonlinear axial accelerated beam structure.更多还原