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 impact oscillator 碰撞振子(6)冲击振子(3)
 碰撞振子
 Dynamics of impact oscillator is far from being understood, although some results are known [2, 3, 9, 10, 11, 12]. 对于碰撞振子的研究虽然在[2，3，9，10，11，12]中有一些结果，但人们对碰撞振子的动力学行为还是知之甚少。 短句来源 Impact oscillator is an important model of dynamical system with discontinuity [8] . 碰撞振子是非光滑动力系统中的一类重要模型，[8]中介绍了它的重要性。 短句来源 Impact oscillator is one of the important models of nonsmooth dynamical system. In this article, we study the dynamics of elastic impact oscillators. 碰撞振子是非光滑动力系统中一类重要模型,本文讨论弹性碰撞振子的动态行为,主要考虑带权位势超线性碰撞振子的碰撞解。 短句来源 Periodic Solutions of Impact Oscillator with Damping 带阻尼的碰撞振子的周期解 短句来源 In this paper,we study the periodic solutions of the impact oscillator with damping. 我们在这篇文章里主要对带阻尼的碰撞振子的周期解作研究。 短句来源 更多
 冲击振子
 PHASE PLANE OF A 2-D IMPACT OSCILLATOR MODEL 一个二维冲击振子模型的相平面结构 短句来源 They are: a model of a kind of two-dimensional impact oscillator, a model of a kind of kicked rotor, a model of a kind of electronic circuit that is described by a piecewise-continuous two-dimensional conservative map and its simplified model. 即一类二维冲击振子模型、一类受击转子模型、一类由分段连续的二维保守映象描述的电路模型及其简化模型。 短句来源 It is discovered in the two-dimensional impact oscillator model that type V intermittency becomes the main route of the transition from periodic motion to chaos. This type of intermittency can happen only in piecewise-smooth dissipative systems. 在二维冲击振子模型中发现：只能在分段光滑耗散系统中发生的阵发类型--V型阵发成为主要的从周期运动向混沌运动过渡的形式。 短句来源

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 impact oscillator
 Bias pulse modulator for a high power Kα band (26-40 GHz) impact oscillator Modeling an impact event is often related to the desired outcome of an impact oscillator study. Experimental study of an impact oscillator with viscoelastic and Hertzian contact The behaviour of a multi-degree-of-freedom vibro-impact system is studied using a 2 degree-of-freedom impact oscillator as a motivating example. A single-degree-of-freedom vibro-impact oscillator is considered. 更多
 An analysis is presented for determining exact steady state responses for a two degree of freedom vibro impact system in the paper. Then their stability analysis of them is carried out. Steady state responses of the impact oscillator are investigated by mmerical method. The theoretical analyses are well supported by numerical solutions. 提出了研究两自由度碰撞振动系统的周期运动及其稳定性的判别方法，计算了此碰撞振动系统的动态响应，数值算例阐明了该方法的有效性 A two-degree-of-freedom system with harmonic excitations and a constraint is considered. The emphases are placed on periodic motions and global bifurcations of the system in plastic impact case. On the perfectly plastic impact condition, dynamics of the two-degree-of-freedom vibratory system impacting a single stop is represented by a three-dimensional map, which is of piecewise property and singularities. Existence and stability of period n single-impact motions are analyzed by theoretical and numerical methods,... A two-degree-of-freedom system with harmonic excitations and a constraint is considered. The emphases are placed on periodic motions and global bifurcations of the system in plastic impact case. On the perfectly plastic impact condition, dynamics of the two-degree-of-freedom vibratory system impacting a single stop is represented by a three-dimensional map, which is of piecewise property and singularities. Existence and stability of period n single-impact motions are analyzed by theoretical and numerical methods, and characteristic of period n single-impact motions is domonstrated,The singularity of the Poincare map caused by "boundary grazing" motion of the impact oscillator, is considered, The influence of the piecewise property and singularities on global bifurcations and transitions to chaos elucidated. These transitions are not regular bifurcations but, arise from piecewise property of the map and singularities. It is found that the vibro--impact system goes through complicated dynamic evolution beyond period-doubling bifurcations with increase in the excitation frequency. Period-doubling bifurcations of period n single-impact orbits are commonly existential, but the period-doubling cascades are abruptly discontinued under a smooth change in the excitation frequency. At this control parameter value the system can exhibit, the motion with grazing boundary so that extremely long periodic and chaotic motions are generated immediately. Global dynamical analyses for the system with plastic impacts have important significance for optimizing the design of machinery with plastic vibroimpact. Moreover, dynamic evolution of the plastic vibro-impact systems with more than two degrees of fieedom, beyond period-doubling bifurcation, may be analyzed by analogy with that of 用三维映射表示具有单侧刚性约束的两自由度振动系统在塑性碰撞时的动力学方程．借 助理论分析与数值方法研究了系统周期ｎ－１振动的存在性与稳定性，描述了系统周期ｎ－１ 振动的特点，讨论了碰撞振子与约束擦边引起的Ｐｏｉｎｃａｒｅ映射奇异性对系统全局分岔的影响． This paper analytically discusses the characteristics of boundary crisis in a model of impact oscillator,and proves that the scaling behavior of the life time after crisis follows the rule τ ε\+\{-γ\} and γ=ln|β 2|ln|β 1β\-2|.Here β 1 and β 2 are the unstable and stable eigenvalues,respectively,of a saddle node on the basin boundary of a chaotic attractor.This rule is completely different from that in everywhere\|smooth maps. 解析地讨论一个冲击振子模型中的边界激变特征 ,证明了这类分段光滑二维映象中激变的生存时间标度律为τ ε-γ,而γ =ln|β2 |ln|β1β2 |(β1,β2 分别是混沌吸引子吸引域边界上鞍点的不稳定和稳定本征值 ) ,这与处处光滑二维映象中相应的规律完全不同 . << 更多相关文摘
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