双稳态压电悬臂梁发电系统的动力学分析

双稳态压电悬臂梁发电系统由于其自身在发电效率方面的优越性,受到了科研人员的广泛关注。为了研究该系统的相关特性,首先建立了等效的周期激励和随机激励作用下双稳态压电悬臂梁俘能系统的数学模型;其次通过龙格-库塔法,得出系统在单势阱和双势阱内振动响应的振幅、输出功率和电压等计算结果;并分析了双稳态系统工作过程中出现的随机共振现象,得到它们的变化规律及特性;通过将这些数值计算结果进行分类对比分析,显示了双稳态压电俘能系统在激励响应幅值、频率响应范围和输出功率等方面的优越性。以上研究结果为优化双稳态压电悬臂梁俘能器的设计和应用提供了理论依据。

Dynamics analysis of a bi-stable piezoelectric cantilever power generation system

The power generation system of the bi-stable piezoelectric cantilever beam has been widely noticed because of its superiority in the power generation efficiency. In order to study the characteristics of this system, we primarily focused on making the equivalent mathematical model of the bi-stable piezoelectric cantilever energy harvesting system under the action of periodic excitation and random excitation. Secondly, the amplitude, output power and voltage in single and double potential well were obtained by the Runge-Kutta method. Thirdly, the stochastic resonance emerged during the process of harvesting was analyzed and their changing rules and characteristics were obtained. Through classification and comparison of this numerical calculation, the study showed the superiority of the bi-stable piezoelectric energy harvesting system in response to amplitude, frequency response range and output power. The results would provide a theoretical basis for the optimal design and application of the bi-stable piezoelectric cantilever energy harvesting system.