共查询到19条相似文献,搜索用时 93 毫秒
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从理论和实例上对线性振子过阻尼和临界阻尼特性曲线进行分析对比,发现在某特定条件下过阻尼能较快地恢复到平衡位置,还发现从平衡位置开始的线性振子,过阻尼状态时峰值较小,恢复时间较长;而临界阻尼状态下恢复时间较短,峰值较大. 相似文献
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本文采用数值模拟的方法, 在通过电突触耦合或化学突触耦合的二维格子神经元网络中, 研究了FitzHugh-Nagumo神经元受到双频信号输入时神经元网络对低频信号的响应特性. 结果表明:当固定受到双频输入信号的神经元在体系中所占的比例且FitzHugh-Nagumo神经元参数处于可激发区域时双频信号中的高频部分可诱导出动作电位产生, 而且随着高频输入信号强度的增加, 神经元网络对低频输入信号响应先增大后减小, 出现了极大值, 即发生了振动共振现象. 另外本文还研究了神经元网络对低频输入信号的二次谐波的响应, 同样发现了非线性振动共振现象, 并且体系对低频信号的响应随着其频率ω 的增加也产生共振现象, 即发生了双共振现象. 上述共振现象在以电突触耦合的二维格子神经元网络中和以化学突触耦合的二维格子神经元网络中都可以观察到. 当固定双频输入信号中高频输入信号强度时, 随着受到双频输入信号的神经元在体系中所占比例的变化, 电突触耦合的二维格子神经元网络对低频输入信号的响应与化学突触耦合的二维格子神经元网络对低频输入信号的响应相比有很大的不同. 相似文献
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V. V. Krasil’nikov S. E. Savotchenko 《Russian Journal of Physical Chemistry B, Focus on Physics》2013,7(6):745-747
The Schlögl model of a chemical reaction is generalized to take into account the correlation effects arising from the finiteness of the correlation time. This generalization is based on a generalization of Fisher’s equation with a memory function and cubic nonlinearity. Oscillatory states are demonstrated to be possible in such a system. The dissipative structure existence conditions are specified. 相似文献
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The vibration transmissibility characteristics of a single-degree-of-freedom (SDOF) passive vibration isolation system with different nonlinear dampers are investigated in this paper. In one configuration, the damper is assumed to be linear and viscous, and is connected to the mass so that it is perpendicular to the spring (horizontal damper). The vibration is in the direction of the spring. The second configuration is one in which the damper is in parallel with the spring but the damping force is proportional to the cube of the relative velocity across the damper (cubic damping). Both configurations are studied for small amplitudes of excitation, when some analysis can be conducted based on analytical expressions, and for large amplitudes of excitation, where the analysis is based on numerical simulations. It is found that the two nonlinear systems can outperform the linear system when force transmissibility is considered. However, for displacement transmissibility, the system with the horizontal damper exhibits some desirable properties, but the system with cubic damping does not. 相似文献
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N. Leprovost S. Aumaître K. Mallick 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,49(4):453-458
A noisy damping parameter in the equation of motion of a
nonlinear oscillator renders the fixed point of the system
unstable when the amplitude of the noise is sufficiently large.
However, the stability diagram of the system can not be predicted
from the analysis of the moments of the linearized equation.
In the case of a white noise, an exact formula for
the Lyapunov exponent of the system is derived.
We then calculate the critical
damping for which the nonlinear system becomes unstable.
We also characterize the intermittent structure of the
bifurcated state above threshold and address the effect of
temporal correlations of the noise by considering an
Ornstein-Uhlenbeck noise. 相似文献
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基于MATLAB的单摆周期近似解的比较 总被引:1,自引:5,他引:1
利用MATLAB计算软件,得出了无阻尼情况下单摆运动周期的精确解,并通过图示及最小二乘原理,对文献报道的十几个单摆周期的近似解与精确解进行了比较. 相似文献
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Nicholas E. Wierschem D. Dane Quinn Sean A. Hubbard Mohammad A. Al-Shudeifat D. Michael McFarland Jie Luo Larry A. Fahnestock Billie F. Spencer Alexander F. Vakakis Lawrence A. Bergman 《Journal of sound and vibration》2012,331(25):5393-5407
This work reports on the first experimental study of the broadband targeted energy transfer properties of a two-degree-of-freedom (two-DOF) essentially nonlinear energy absorber. In particular, proper design of the absorber allows for an extended range of energy over which it serves to significantly enhance the damping observed in the structural system to which it is attached. Comparisons of computational and experimental results validate the proposed design as a means of drastically enhancing the damping properties of a structure by passive broadband targeted energy transfers to a strongly nonlinear, multidegree-of-freedom attachment. 相似文献
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Two-mode vibration control of a beam using nonlinear synchronized switching damping based on the maximization of converted energy 总被引:2,自引:0,他引:2
In this paper, a new switch control strategy based on an energy threshold is proposed for the synchronized switch damping techniques in multimode control. This strategy is derived from the total converted energy of a synchronized switch damping (SSD) system in a given time window. Using the new strategy the voltage is inverted only at those extrema where the effective distance, which is proportional to the converted energy between two neighboring extrema, exceeds the threshold. The new switch control strategy is used in both the synchronized switch damping on inductor (SSDI) technique and the synchronized switch damping on voltage source (SSDV) technique, which are applied to the two-mode control of a composite beam. Their control performances are compared with those of the single-mode control and those of classical SSDI and SSDV techniques in two-mode control. The experimental results show that voltage inversion is prevented at some of the displacement extrema to increase the total converted energy, and exhibit better global damping effect than classical SSDI and classical SSDV, respectively. In single mode, the best control performance is achieved when the voltage is inverted at every extremum. But in multimodal control, the total converted energy in a given time window is increased and the control performance is improved when some extrema are skipped. 相似文献