Optimization of clamped circular piezoelectric composite actuators
Optimization of clamped circular piezoelectric composite actuators
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DOI：
10.1016/j.sna.2008.05.018
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发表时间：
2008-09
影响因子：
4.6
通讯作者：
M. Papila;M. Sheplak;L. Cattafesta
中科院分区：
文献类型：
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作者：
M. Papila;M. Sheplak;L. Cattafesta
本文讨论了夹持圆形压电陶瓷复合材料单压电晶片和双压电晶片结构的设计，特别是在规定的带宽的最大体积位移的冲突的要求。一个优化问题，制定实施解析解的单压电晶片和双压电晶片配置使用层压板理论，包括使用相反极化的压电陶瓷贴片。一系列的作动器的几何参数进行了研究，体积位移和固有频率的优化设计的界限，并通过设计曲线。在选定的设计空间中，单压电晶片和双压电晶片配置的帕累托优化结果表明，最佳体积位移与带宽由一个普遍的幂律，使产品的平方的自然频率和位移的体积，一个“增益带宽”的产品，是一个常数。特征趋势也被描述为独立的帕累托最佳压电陶瓷贴片厚度和半径与归一化带宽的致动器半径。结果是相关的，例如，在零净质量流量或合成射流致动器的设计中使用的流量控制应用。
This paper addresses the design of clamped circular piezoceramic composite unimorph and bimorph configurations, specifically the conflicting requirements of maximum volume displacement for a prescribed bandwidth. An optimization problem is formulated that implements analytical solutions for unimorph and bimorph configurations using laminated plate theory, including the use of oppositely polarized piezoceramic patches. A range of actuator geometric parameters are studied, and bounds for volume displacement and natural frequency of optimal designs are determined and presented via design curves. In the selected design space, Pareto optimization results for unimorph and bimorph configurations show that optimal volume displacement is related to the bandwidth by a universal power law such that the product of the square of the natural frequency and the displaced volume, a “gain-bandwidth” product, is a constant. Characteristic trends are also described that are independent of the actuator radius for the Pareto optimal piezoceramic patch thickness and radius versus normalized bandwidth. The results are relevant, for example, in the design of zero-net mass-flux or synthetic jet actuators used in flow control applications.