The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Yongge Yang - One of the best experts on this subject based on the ideXlab platform.
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stochastic analysis of monostable vibration energy harvesters with fractional derivative damping under Gaussian White Noise excitation
Nonlinear Dynamics, 2018Co-Authors: Yongge YangAbstract:To the best of authors’ knowledge, the dynamical behaviors of vibration energy harvesters with fractional derivative damping have not been discussed by researchers with the help of the stochastic averaging method. As the fractional-order models are more accurate than the classical integer-order models, so it is necessary to investigate the dynamical behaviors of fractional vibration energy harvesters. This paper aims to investigate the stochastic response of monostable vibration energy harvesters with fractional derivative damping under Gaussian White Noise excitation. First, we can get the equivalent stochastic system with the help of variable transformation. Then, the approximately analytical solutions of the equivalent stochastic system can be obtained by the stochastic averaging method. Third, the numerical results are considered as the benchmark to prove the effectiveness of the proposed method. The results indicate that the proposed method has a satisfactory level of accuracy. We also discuss the effect of system parameters on the mean square voltage.
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stochastic response of a class of self excited systems with caputo type fractional derivative driven by Gaussian White Noise
Chaos Solitons & Fractals, 2015Co-Authors: Yongge Yang, Yahui SunAbstract:The stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian White Noise is considered. Firstly, the generalized harmonic function technique is applied to the fractional self-excited systems. Based on this approach, the original fractional self-excited systems are reduced to equivalent stochastic systems without fractional derivative. Then, the analytical solutions of the equivalent stochastic systems are obtained by using the stochastic averaging method. Finally, in order to verify the theoretical results, the two most typical self-excited systems with fractional derivative, namely the fractional van der Pol oscillator and fractional Rayleigh oscillator, are discussed in detail. Comparing the analytical and numerical results, a very satisfactory agreement can be found. Meanwhile, the effects of the fractional order, the fractional coefficient, and the intensity of Gaussian White Noise on the self-excited fractional systems are also discussed in detail.
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stationary response of nonlinear system with caputo type fractional derivative damping under Gaussian White Noise excitation
Nonlinear Dynamics, 2015Co-Authors: Yongge Yang, Wantao Jia, Qun HanAbstract:This paper aimed to investigate the response of single-degree-of-freedom system with Caputo-type fractional derivative damping term under Gaussian White Noise excitation. First, the approximately analytical solution of the system is obtained using the stochastic averaging method. Then, an effective algorithm for the solution of initial value problems with Caputo derivative is briefly introduced. At last, in order to certify the validity of the analytical solution, two examples are worked out in detail. A very satisfactory agreement is found between the analytical results and the Monte Carlo simulation of original systems.
Qun Han - One of the best experts on this subject based on the ideXlab platform.
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stationary response of nonlinear system with caputo type fractional derivative damping under Gaussian White Noise excitation
Nonlinear Dynamics, 2015Co-Authors: Yongge Yang, Wantao Jia, Qun HanAbstract:This paper aimed to investigate the response of single-degree-of-freedom system with Caputo-type fractional derivative damping term under Gaussian White Noise excitation. First, the approximately analytical solution of the system is obtained using the stochastic averaging method. Then, an effective algorithm for the solution of initial value problems with Caputo derivative is briefly introduced. At last, in order to certify the validity of the analytical solution, two examples are worked out in detail. A very satisfactory agreement is found between the analytical results and the Monte Carlo simulation of original systems.
Di Liu - One of the best experts on this subject based on the ideXlab platform.
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stochastic response of bistable vibration energy harvesting system subject to filtered Gaussian White Noise
Mechanical Systems and Signal Processing, 2019Co-Authors: Di LiuAbstract:Abstract Mechanical vibrations have been proved to be a clean and reliable energy source, especially the bistable model can enhance the efficiency of vibration energy harvesting under the case of low-level vibration and attracts more and more attention. In this manuscript, an improved coordinate transformation, based on the equilibrium points of bistable vibration energy harvesting (BVEH) system, is proposed to construct a quasi-conservative stochastic averaging procedure, and this method is applied to the nonlinear BVEH system driven by filtered Gaussian White Noise to obtain the dynamic behaviors. Through this transformation, the nonlinear electromechanical coupling BVEH system can be approximated by an equivalent single degree of freedom bistable system, which contains the energy-dependent frequency functions and the equilibrium points. The analytic expressions of the stationary probability density function of the system state can be obtained by the quasi-conservative stochastic averaging method, and by applying the relationship between the output voltage and the state variables of the system, the mean-square output voltage (MSOV) and the mean output power (MOP) will be obtained. Finally, the variation trends of MSOV and MOP depended on the physical quantities of stochastic BVEH system, such as the excitation intensity and the peak frequency of seismic motion of the filtered Gaussian White Noise, the parameters of the vibration system and the electromechanical coupling coefficients, are also analyzed in detail. Corresponding theoretical results are well verified through the direct Monte Carlo simulation.
Zhikang Zhang - One of the best experts on this subject based on the ideXlab platform.
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a generalized analysis technique of the stationary fpk equation in nonlinear systems under Gaussian White Noise excitations
International Journal of Engineering Science, 2000Co-Authors: Rubin Wang, Kimihiko Yasuda, Zhikang ZhangAbstract:Abstract On the basis of analysis methods in R. Wang, S. Kusumoto and Z. Zhang [Arch. Appl. Mech. 66 (1996) 255–263], an exact solution technique is developed to obtain stationary probability densities for three classes of nonlinear systems under Gaussian White Noise excitations. Compared with R. Wang, S. Kusumoto and Z. Zhang [Arch. Appl. Mech. 66 (1996) 255–263]; R. Wang and Z. Zhang [J. Engrg. Mech., ASCE 124 (1) (1998)] and R. Wang and K. Yasuda [J. Sound Vibration 205 (5) (1997) 647–655], the main point of this paper is that when a nonlinear function of a stochastic system possesses the form of polynomial formula (2), an exact stationary solution is possible. It follows that an analysis method of the stationary FPK equation presented by R. Wang, S. Kusumoto and Z. Zhang [Arch. Appl. Mech. 66 (1996) 255–263] is generalized to more general types of nonlinear stochastic systems.
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exact stationary solutions of the fokker planck equation for nonlinear oscillators under stochastic parametric and external excitations
Nonlinearity, 2000Co-Authors: Rubin Wang, Zhikang ZhangAbstract:A systematic procedure is developed to obtain the stationary probability density function for the response of general single-degree-of-freedom nonlinear oscillators under parametric and external Gaussian White Noise excitations. In a previous paper (Wang and Zhang 1998 J. Eng. Mech. ASCE 18 18-23) we expressed a nonlinear function of oscillators using a polynomial formula. The nonlinear system described here has the following form: , where and 1 , 2 are Gaussian White Noise functions. Thus, this paper is a generalization of the results studied in our previous paper. The stationary Fokker-Planck equation is employed to obtain the governing equation of the probability density function. Based on this procedure, the exact stationary probability densities of many nonlinear stochastic oscillators are obtained and it is shown that some of the exact stationary solutions described in the literature are only particular cases of the presented generalized results.
Liqun Chen - One of the best experts on this subject based on the ideXlab platform.
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an equivalent linearization technique for nonlinear piezoelectric energy harvesters under Gaussian White Noise
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Wenan Jiang, Liqun ChenAbstract:Abstract An equivalent linearization technique is proposed to determine approximately the output voltage a nonlinear piezoelectric energy harvester excited by Gaussian White Noise excitations. Equivalent linear system is derived from minimizing the mean-squared of the error. The linear equivalent coefficients are presented by the method of normal truncation. The exact solution of equivalent linear system is derived obtained. The effectiveness of the method is demonstrated by numerical simulations.
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energy harvesting of monostable duffing oscillator under Gaussian White Noise excitation
Mechanics Research Communications, 2013Co-Authors: Wenan Jiang, Liqun ChenAbstract:a b s t r a c t Energy harvesting of monostable Duffing oscillator with piezoelectric coupling under Gaussian White Noise excitation is investigated. Based on the Fokker-Plank-Kolmogorov equation of piezoelectric cou- pling systems, the statistical moments of the response are derived from the Van Kampen expansion. The effects of the spectral density of the random excitation and the coefficient of cubic nonlinearity on the expected response moments are analyzed. Some numerical examples are presented to demonstrate the effects of excitation spectral density, coefficient of cubic nonlinearity and initial conditions on the output voltage.
