One-Dimensional Theoretical Solution and Two-Dimensional Numerical Simulation for Functionally-Graded Piezoelectric Cantilever Beams with Different Properties in Tension and Compression
One-Dimensional Theoretical Solution and Two-Dimensional Numerical Simulation for Functionally-Graded Piezoelectric Cantilever Beams with Different Properties in Tension and Compression
复制标题
不同拉压性能梯度功能压电悬臂梁的一维理论解与二维数值模拟
DOI：
10.3390/polym11111728
复制
发表时间：
2019-11-01
期刊：
影响因子：
5
通讯作者：
Sun, Jun-Yi
中科院分区：
文献类型：
--
作者：
He, Xiao-Ting;Yang, Zhi-Xin;Sun, Jun-Yi
现有的研究表明，聚合物在拉伸和压缩时会表现出明显不同的性能（双模效应），由于分析的复杂性，双模效应通常被忽略。采用解析法和数值法分别研究了具有双模效应的功能梯度压电悬臂梁，在忽略一些不重要因素的情况下推导了一维理论解，并基于拉压分区模型进行了二维数值模拟.对一维理论解和二维数值模拟的合理性进行了充分的比较。结果表明，拉-压分区分层模型也为用数值方法模拟双模效应功能梯度压电悬臂梁问题提供了可能。此外，在一维问题中提出的弹性模量E-* 和弯曲刚度D-* 可以简洁地描述经典力学问题中的压电效应，而无需机电耦合，这显示了一维解在工程应用中的优势，特别是在能量收集/传感/双模效应比较明显的压电聚合物驱动装置。
The existing studies indicate polymers will present obviously different properties in tension and compression (bimodular effect) which is generally ignored because of the complexity of the analysis. In this study, a functionally graded piezoelectric cantilever beam with bimodular effect was investigated via analytical and numerical methods, respectively, in which a one-dimensional theoretical solution was derived by neglecting some unimportant factors and a two-dimensional numerical simulation was performed based on the model of tension-compression subarea. A full comparison was made to show the rationality of one-dimensional theoretical solution and two-dimensional numerical simulation. The result indicates that the layered model of tension-compression subarea also makes it possible to use numerical technique to simulate the problem of functionally graded piezoelectric cantilever beam with bimodular effect. Besides, the modulus of elasticity E-* and the bending stiffness D-* proposed in the one-dimensional problem may succinctly describe the piezoelectric effect on the classical mechanical problem without electromechanical coupling, which shows the advantages of one-dimensional solution in engineering applications, especially in the analysis and design of energy harvesting/sensing/actuating devices made of piezoelectric polymers whose bimodular effect is relatively obvious.