参数异变性对非线性轴向加速梁系统横向振动特性的影响

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摘要分析了多参数 (轴向平均速度、速度扰动幅值、粘滞阻尼、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。

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	杨琼1
	褚衍东2
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	徐璐1
	李险峰2

关键词 ：轴向加速梁, 横向振动, 二维参数空间, 分岔, 混沌

Abstract：The influences of multi-parameters (axial mean speed, velocity perturbation amplitude, viscous damping, velocity perturbation frequency) change on the transverse vibration characteristics of nonlinear axially accelerating beams are analyzed. In the two-parameter plane of velocity perturbation amplitude-velocity perturbation frequency, the bifurcation diagrams and Poincaré maps of the nonlinear axially accelerating beam system are obtained via the numerical method. The parameter regions of the periodic oscillation and chaotic oscillation are determined. The transition laws of saddle-node bifurcation, period-doubling bifurcation are analyzed. The regions are found to maintain the single-period steady motion of the axial accelerating beam system in the two-parameter plane, which provides a reference for the design and optimization of nonlinear axially accelerating beam systems.

Key words： axial accelerating beam transverse vibration two-dimensional parameter space bifurcation chaos

收稿日期: 2020-10-22 出版日期: 2022-04-15

引用本文:

杨琼1，褚衍东2,3，徐璐1，李险峰2. 参数异变性对非线性轴向加速梁系统横向振动特性的影响[J]. 振动与冲击, 2022, 41(7): 174-181.
YANG Qiong1, CHU Yandong2,3, XU Lu1, LI Xianfeng2. Effects of parameter variability on transverse vibration characteristics of nonlinear axially accelerated beam system. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(7): 174-181.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I7/174

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