Authors: Yun Liang Meng, Chang Xing Pei, Dong Wu Li
Abstract: The optimum vibrational resonance in a time-delay bistable system driven by bihiarmonic signals is discussed in this paper. The theoretically expression for the response amplitude gain of low frequency signal in the time-delay bistable system is deduced, and the effects of time delay parameter on the optimum vibrational resonance peak and the required amplitude of high frequency signal are investigated. It is shown that the optimum vibrational resonance can be achieved by adjusting the high frequency signal amplitude and time delay parameter jointly. Meanwhile, the optimum vibrational resonance appeared periodically with time delay parameter and the period is equal to the period of low-frequency signal. The amplitude of high-frequency signal required for the optimum vibrational resonance can be fixed or varied with different time delay parameter depending on the ratio of the frequencies between biharmonic signals.
2172
Authors: Hui Deng, Hao Liu, Bing Tao Song, Han Zhang, Sen Yang
Abstract: Stochastic resonance (SR) enhances the nonlinear system behavior with the assistance of noise. The energy-transfer mechanism makes the weak information revealed in the output spectrum, while the time-waveform is distorted. In this article, The Principle of stochastic resonance and recovery method are proposed and based on which, The nonlinear circuit is formed.At last, some examples are given to identify the performance of this nonlinear circuit.
2197
Authors: Ying Zhang, Shu Ming Li
Abstract: Noise, bistable system and input signal are the three essential factors in stochastic resonance (SR). The noise-induced SR method, the parameter-tuning SR method, and the twice sampling SR method change the characteristics of the noise, the bistable system and the input signal, respectively. With the new cooperation, they can all produce the SR phenomena when the system exceeds the small-parameter area. If treating the strong noise and the input signal with large frequency, the actions of the system parameters can build the system behavior in an orderly way, associated with the twice sampling frequency. The united parameter-tuning SR method adjusts the system parameters to fit the normalized frequency after the twice sampling SR, in order to make the optimal noise intensity. The application to the flow meter vibration test has presented the practicability and effectiveness of the united parameter-tuning SR method.
21
Authors: Zhu You Xi, Yun Ju Yan, Yu Zhang, Liu Liu
Abstract: Bistable stochastic resonance is described by visual explanation. Engineering application feasibility of stochastic resonance is investigated, and the example of engineering application also given. Its application expectations are prospected.
1672
Authors: Hui Deng, Zhang Li
Abstract: Stochastic resonance (SR) enhances the nonlinear system behavior with the assistance of noise. The energy-transfer mechanism makes the weak information revealed in the output spectrum, while the time-waveform is distorted. The factors causing the deviation in the output are presented and the function of the recovery system is proposed. The numerical simulations reveal that the SR recovery method can recover the waveform containing weak information submerged in noise effectively.
1033
Authors: Ying Meng, Min Lin
Abstract: The motion of a Brownian particle in a bistable system is studied. We propose a method of controlling stochastic energetic resonance by adding a period signal to the system. The work done by the input signal is investigated as a quantifier of stochastic energetic resonance. By changing the control signal, the cooperative interplay between input signal, noise and nonlinearity of the system is adjusted effectively. Stochastic energetic resonance can be achieved or enhanced when the amplitude or frequency of the control signal is modified.
629
Authors: C. Maurini, Joel Pouget, Stefano Vidoli
Abstract: Bistable structures, such as buckled beams, are characterized by a two-well potential.
Their nonlinear properties are currently exploited in actuators to produce relatively high
displacements and forces with low actuation energies. We investigate the use of distributed
multiparameter actuation to control the buckling and postbuckling behaviour of a three-layer
piezoelectric beam pinned at either end. A two-parameter bending actuation controls the transversal
motion, whilst an axial actuation modulates the tangent bending stiffness. The postbuckling
behaviour is studied by reducing to a 2 dof system a nonlinear extensible elastica model. When the
bending actuation is spatially symmetric, the postbuckling phenomena are characterized by a snapthrough
instability. The use of a two-parameter actuation opens new transition scenarios, where it is
possible to get quasi-static transitions between the two equilibria of the buckled beam, without any
instability phenomenon.
281
Authors: Yuriy V. Gudyma, Ivanna V. Kruglenko
Abstract: We present a unified approach to description of all the stages of shaping of a highabsorption
state in a resonatorless exciton bistable system, as a nonequilibrium first-order transition.
The velocity of switching wave front and thickness of interface between phases are determined
within the quick switching wave approximation. The size distribution functions of subcritical and
supercritical nuclei and asymptotic expression for nucleus radius were obtained.
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