Design and optimization of piezoelectric unimorph beams with distributed excitation.
Design and optimization of piezoelectric unimorph beams with distributed excitation.
复制标题
分布式激励压电单压电晶片梁的设计和优化。
DOI：
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发表时间：
2018
影响因子：
2.4
通讯作者：
E. Deenadayalan
中科院分区：
文献类型：
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作者：
Minu A. Pillai;D. D. Ebenezer;E. Deenadayalan
本文提出了一种利用解析模型设计一种最优的均匀变形梁的方法，该梁挠曲并产生电压，以响应作用于其长度的分布式负载。目标是设计一束在特定频率下共振的光束，在该频率下激发有一个峰值。相关的开路电压灵敏度和增益带宽乘积是要最大化的函数。对于特定的边界条件和材料对，选择压电层厚度与梁长平方的尺寸比，使梁在规定的频率上共振。通过简单的一维搜索确定了与两个函数最大值相关的弹性层和压电层厚度无量纲比的两个最优值。用优点图和数值结果来说明边界条件和材料性质对感兴趣函数的影响。所有具有最佳厚度比的光束都是同样好的，并且针对特定应用的光束尺寸应考虑制造设计原则和外部电子电路来选择。
A method is presented to design an optimal unimorph beam that flexes and generates voltage in response to a distributed load acting over its length using an analytical model. The objective is to design a beam that resonates at a specified frequency at which there is a peak in the excitation. The associated open-circuit voltage sensitivity and gain bandwidth product are functions to be maximized. For specific boundary conditions and pairs of materials, the dimensional ratio of the thickness of the piezoelectric layer to the square of the length of the beam is chosen such that the beam resonates at the specified frequency. The two optimum values of the dimensionless ratio of the thicknesses of the elastic and piezoelectric layers associated with the maximum values of the two functions of interest are determined through a simple one-dimensional search. Figures of merit and numerical results are used to show the effect of boundary conditions and properties of materials on the functions of interest. All beams with the optimum ratio of thicknesses are equally good and the dimensions of a beam for a specific application are to be chosen by considering principles of design for manufacture and the external electronic circuit.