噪声与振动控制2017，Vol.37Issue(2)：7-12,22,7.DOI:10.3969/j.issn.1006-1355.2017.02.002
压电悬臂梁机电耦合系统的建模及动力学特性分析
Model and Dynamic Analysis of the Electro-mechanical Coupling System of Piezoelectric Vibration Energy Harvesters
摘要
Abstract
Cantilever beams with piezoelectric ceramic layers have been frequently used as piezoelectric vibration energy harvesters. The most classical piezoelectric cantilever model d31 of the piezoelectric energy harvesters (PEH) is studied in this paper. The exact analytical solution of the cantilever PEH is presented based on Euler-Bernoulli beam assumption. The influence of dynamic mode shape and strain distribution of the cantilever PEH is considered. The mathematical model of the cantilever PEH is established and the electro-mechanical coupling principle and characteristics are deeply analyzed with the two boundary conditions of uniformly distributed electric field and uniformly distributed electric displacement respectively. Based on the traditional PEH of order one, an inductance is added to the circuit to establish a second order circuit and improve the mathematical model. In the improved model, a new system with n+1 DOFs is obtained by combining the second order circuit with the n-DOF oscillatory system so that the global simulation of the coupled system can be realized. In addition, the influence of different elements of the circuit is analyzed. It is found that the added inductance can greatly increase the energy-harvesting efficiency of the PEH.关键词
振动与波/压电悬臂梁/机电耦合模型/系统仿真/功率优化Key words
vibration and wave/vibration energy harvester/electro-mechanical coupling model/system simulation/power optimization分类
数理科学引用本文复制引用
张梦倩,宋汉文..压电悬臂梁机电耦合系统的建模及动力学特性分析[J].噪声与振动控制,2017,37(2):7-12,22,7.基金项目
国家自然科学基金资助项目(11272235) （11272235）
