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一种新的混沌激振器及其动力学特性
邢如义1, 杨勇2
0
(1.河北工程大学 教育技术中心, 河北 邯郸 056038;2.中国农业机械化科学研究院, 北京 100083)
摘要:
在分析已有混沌发生机构的基础上,结合混沌中的倍周期分叉现象,设计了一种新的混沌激振器。该激振器由2个偏心轮构成,2个偏心轮之间的约束由传统的光滑铰链改为沿圆形轨道滑动,从而使系统产生倍周期现象的条件大幅度放宽。建立了该混沌激振器的动力学模型,通过仿真试验分析其动力学特性。结果表明,较普遍应用的三连杆混沌激振器,该混沌激振器具有更强的混沌特性和更为宽松的参数选择,因而具有更大的使用范围。
关键词:  混沌激振器  动力学特性  非线性  凸轮
DOI:10.11841/j.issn.1007-4333.2014.01.25
投稿时间:2013-04-26
基金项目:“十二五”国家科技支撑计划课题(2012BAD35B02)
A new chaotic exciter and its dynamic characteristics
XING Ru-yi1, YANG Yong2
(1.Center of Education Technology, Heibei University of Engineering, Handan 056038, China;2.Chinese Academy of Agricultural Mechanization Science, Beijing 100083, China)
Abstract:
Using the fold bifurcation theorem,a new chaotic exciter was designed based on existed chaotic exciters.The new chaotic exciter was made up of two eccentric cams.The kinematic pair between them was constructed with circular orbit instead of traditional gemel hinge,which relaxes the trigger condition of the period doubling bifurcation.In addition,the corresponding dynamic model of the chaotic exciter was built,and then the dynamic characteristic was analyzed with simulation.The simulation results showed that the chaotic exciter had stronger chaos characteristics and more parameter selections compared with the widespread application of three link chaotic exciter,which meant a better fitting to field condition.
Key words:  chaotic exciter  dynamic characteristic  nonlinear  cam