Resonance response analysis of nonlinear vibration energy harvesting system under bounded noise excitation

The Journal of Nonlinear Sciences and its Applications

article

Di Liu¹  Qianqian Fu¹ 

[1] School of Mathematical Sciences, Shanxi University

关键词: Nonlinear vibration energy harvesting;    resonance response;    bounded noise;    quasi-conservative stochastic averaging method;    finite difference method;   

DOI  :  10.22436/jnsa.015.01.01

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, the resonance response of piezoelectric vibration energy harvester (VEH) driven by bounded noise is discussed through the quasi-conservative stochastic averaging method. A nonlinear transformation based on the total energy is firstly established to transform piezoelectric VEH system from an electromechanical coupled nonlinear system into a single-degree-of-freedom (SDOF) system. Then the SDOF system is rewritten as It\^o stochastic system about the energy and residual phase under the case of p:q resonance through the quasi-conservative stochastic averaging method. And the joint probability density function (JPDF) of the stationary response is obtained by solving the corresponding two-dimensional Fokker-Planck-Kolmogorov (FPK) equation using the finite difference method. Meanwhile, the mean-square electric voltage and the mean output power are further analytically given through the JPDF. Finally, the resonance response of piezoelectric VEH system is analyzed in detail in case of the primary resonance, and the Monte Carlo (MC) simulation technique is adopted to validate the effectiveness of the finite difference method.

【 授权许可】

Unknown