Adopting the method of discontinuity bypass mapping,the Poincare mapping of Jeffcott model near a grazing orbit was estimated as a four-dimensional mapping with square-root compressing or stretching at one direction,from which many chaos motions were found by researching the mapping.
采用不连续穿越映射技术,Jeffcott碰摩转子系统的映射在擦边碰撞附近可以近似为在一个方向上有平方根伸缩的四维映射,本文对此映射的动力学行为进行了研究,而且发现了有大量的混沌现象存在。
The review is made on the geometrical and numerical analyses and the experimental studies of the vibro impacting systems, with the emphasis laid on the stability, singularity, grazing bifurcations and nonlinear modes.
对碰撞振动的几何与数值分析，以及实验研究作了评述，内容侧重于稳定性、奇异性，擦边诱发分叉，非线性模态等问题。
The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly.
展示了这种非光滑系统在倍周期分岔通向混沌的道路中存在的擦边分岔行为。
The numerical results show that there is not only diverse phenomena of period-doubing bifurcation in the system,but also exist, the grazing bifurcation which is unique for the non-smooth system.
数值研究表明,双边约束随机van der Pol系统中不仅存在着丰富的倍周期分岔现象,还存在非光滑系统中所特有的擦边分岔。
In the present paper,grazing bifurcations of a cantilever system with one-sided impact is investigated.
与光滑动力系统不同,擦边分岔是非光滑动力系统中的一种特殊分岔行为。
As a newly emerged thing in the advertisement circle,an "edge ball" advertisement refers to the advertisement which makes use of the legal defects and slides on the edge of government policy and public opinions.
对擦边球广告现状进行了客观的分析,指出应从加强广告界自律,通过法律手段规范广告市场,刊播单位严格把关,消费者和广告受众提高法律意识等几个方面,加强对"擦边球"广告的管理和控制。
Firstly, the grazing periodic motions in this cantilever beam syste.
首先利用数值仿真的方法研究了悬臂梁碰撞系统的擦边分岔,进而利用Nordmark不连续映射方法具体推导了擦边周期轨道附近的局部不连续映射,给出了局部不连续映射的解析表达式,并用数值方法进行了模拟。
Firstly, the grazing periodic motions are discussed.
本文研究了一类单自由度和双自由度碰振系统中的周期擦边运动，利用Nordmark不连续映射方法推导了擦边周期轨道附近的不连续映射，用此映射分析了系统在擦边周期轨道附近是否存在局部吸引子及擦边分岔情况，并用数值方法进行了模拟。