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超低频振动能量收集器中夹片弹簧结构的建模与验证
引用本文:吴义鹏,王越,周圣鹏,谢维泰,季宏丽,裘进浩.超低频振动能量收集器中夹片弹簧结构的建模与验证[J].固体力学学报,2019,40(5):451-457.
作者姓名:吴义鹏  王越  周圣鹏  谢维泰  季宏丽  裘进浩
作者单位:南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016;南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016;南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016;南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016;南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016;南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016
基金项目:国家自然科学基金;非线性振动系统中的能量靶向转移分析及调控;江苏省自然科学基金项目
摘    要:针对一类基于夹片弹簧的压电振动能量收集器,利用材料力学莫尔积分理论建立了振荡俘能结构中夹片弹簧的等效刚度模型,通过万能拉伸试验机验证了模型精度。在此基础上,讨论了夹片弹簧刚度线性简化的两种途径:拉伸曲线线性拟合和固有频率修正。研究结果表明,从夹片弹簧拉伸曲线上看,将其等效成线性弹簧具有一定的合理性;而在实际振动能量收集器结构中,若振动加速度相对较小,通过固有频率修正法对夹片弹簧刚度进行线性简化,其幅频响应特性与非线性模型的特性相近。该研究成果为压电振动能量收集器的动力学和机电耦合模型简化提供了理论支撑。

关 键 词:能量收集  夹片弹簧  等效刚度模型  线性化
收稿时间:2019-04-15

Modeling and validation of a clip spring structure applied in ultra-low frequency vibration energy harvesters
Abstract:This paper established an equivalent stiffness model for a clip spring structure, which was usually applied in a kind of piezoelectric vibration energy harvesters, mainly based on Mohr’s method. The accuracy of the model was validated by the universal tensile testing machine. Two ways to linearity simplify the stiffness of clamp springs were discussed: through fitting the tension curve and modifying the stiffness according to the resonant frequency. The research results showed that it was reasonable to consider it as a linear spring from the tension curve; while in the practical vibration energy harvesters, the stiffness of the clamp spring could be linearly modified according to the natural frequency of the oscillating system, the calculated amplitude-frequency response characteristics were similar to those of the nonlinear dynamic model. The research results provide theoretical support for the establishment of a simplified dynamic and electromechanical coupling models in the field of piezoelectric vibration energy harvesters.
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