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Coupled Identification Procedure of Piezoelectric Constants using PSO and Exact Solution by Stroh-like Formalism

机译：用PSO和精确溶液的Stroh样形式主义耦合压电常数的识别程序

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摘要

The paper presents an optimization technique for the identification of dielectric and elastic properties of simply supported rectangular functionally graded piezoelectric plates (FGPM) using the exact three dimensional solution for the static deformations under mechanical load of FGPM rectangular plates. The procedure uses the Stroh-like formalism to obtain the exact solution for FGPM plates which can be expressed in more concise and easier handling forms comparing to other more complicated semi-analytical or numerical approaches used in the literature. Particle Swarm Optimizer (PSO) is then used to solve the optimization problem in order to identify the piezoelectric material properties in the z-direction. In order to validate the given exact solution, a numerical example for a single-layer FGPM plate is presented and compared to the previous findings in the literature. Several numerical examples are presented using PSO algorithm to solve the identification problem of piezoelectric material constants and good results are obtaind. The obtained results confirm the efficiency of the proposed coupled procedure and demonstrate that the PSO algorithm is an effective technique for solving optimal design problems to improve the performance of the piezoelectric materials for more energy storage.
机译：本文提出了一种用于精确支撑矩形功能梯度压电板（FGPM）的介电和弹性特性的优化技术，该方法使用精确的三维解求解FGPM矩形板在机械载荷下的静态变形。该方法使用类似于Stroh的形式主义来获得FGPM板的精确解决方案，与文献中使用的其他更复杂的半分析或数值方法相比，该解决方案可以更简洁，更易于处理的形式表示。然后使用粒子群优化器（PSO）解决优化问题，以便识别z方向上的压电材料特性。为了验证给定的精确解，给出了单层FGPM板的数值示例，并将其与文献中的先前发现进行了比较。利用PSO算法给出了几个数值例子，解决了压电材料常数的辨识问题，取得了良好的效果。获得的结果证实了所提出的耦合过程的效率，并证明了PSO算法是解决最佳设计问题以提高压电材料的性能以实现更多能量存储的有效技术。

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