振动俘能技术是解决微型电子设备长期供能问题的有效途径，已成为当今科学研究的热点之一。压电-电磁混合式振动俘能系统能够有效地拓展工作频宽并提高俘能效率，因此得到广泛关注。目前的研究工作，较少考虑随机扰动对混合式俘能系统动力学行为的影响，而且忽略了俘能系统材料本身的粘弹性。本项目拟以高斯白噪声激励下压电-电磁混合式粘弹俘能系统为研究对象，研究其动力学行为。主要内容有：基于随机平均法、变量变换方法和近似等价方法，研究系统的随机响应及分岔、稳定性和首次穿越问题，揭示高斯白噪声和粘弹材料对混合式俘能系统动力学行为的作用机制，讨论噪声、粘弹项和系统参数对系统俘能效率的影响。本项目可进一步丰富混合式振动俘能系统的研究成果，为实际工程中混合式振动俘能系统的最优设计和控制提供科学依据。

Vibration energy harvesting, which is an effective approach to provide a long-term power supply for microelectronic devices, has being a research focus. The hybrid piezoelectric and electromagnetic vibration energy harvester can effectively expand the operating bandwidth and improve the efficiency of harvesting energy; therefore, it has received widespread attention. Currently, the research work seldom considers the effect of random disturbances on the hybrid energy harvester, and ignores the viscoelastic properties of the system materials. This project aims at studying the dynamic behavior of a hybrid piezoelectric and electromagnetic viscoelastic vibration energy harvester excited by Gaussian white noise. The response, stability and first passage problems of the system are studied with the help of the stochastic average method, the variable transformation method and the approximate equivalent method; the mechanisms of random noise and viscoelastic materials on the hybrid energy harvester are revealed; the effects of noise, viscoelastic terms and system parameters on the efficiency of harvesting energy are discussed. This project will further enrich the research results of the hybrid vibration energy harvester and present scientific basis for the optimal design and control of the hybrid vibration energy harvester in practical engineering.