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压电纳米声子晶体梁结构表面效应带隙特性研究

Study on bandgap properties of a piezoelectric phononic crystal nanobeam with surface effects

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通过纳米尺寸下的纯弹性材料环氧树脂和压电材料PZT-4沿着轴向周期性交替排布,提出了压电纳米声子晶体梁结构的力学模型.将表面压电理论与Euler梁理论相结合,结合平面波展开法,建立了计算该模型能带结构的表面效应平面波展开法.进一步地,外加电压和外加轴力被用来研究机电耦合效应对带隙的影响,残余面应力和材料内禀长度被用来研究表面效应对带隙的影响,以及晶胞内PZT-4对环氧树脂的长度比和高宽比被用来研究几何参数对带隙的影响.研究结果和进一步的分析表明,影响规律对基于压电纳米声子晶体梁的纳米机电系统的设计过程和主动控制将起到积极的推动作用.
The model of piezoelectric phononic crystal nanobeam is proposed by periodically repeating elastic ma-terial epoxy and piezoelectric material PZT-4 at nanoscale along the axial direction.The plane wave expansion method with surface effects is derived and formulized by coupling surface piezoelectric theory,Euler beam theory and traditional plane wave expansion method to calculate the corresponding band structures.Moreover,the exter-nal electrical voltage and axial force are chosen to investigate the influences of electro-mechanical coupling effects on band gaps.Residual surface stress and material intrinsic length are picked as the influencing parameters relat-ed to surface effects.Ratio of the length of PZT-4 to that of epoxy in a unit cell and the height-width ratio are chosen to research the effects of geometric parameters on band gaps.The results and analysis are expected to be helpful in designing piezoelectric nanobeam-based devices.

piezoelectric phononic crystal nanobeamplane wave expansion methodsurface effectelectro-me-chanical coupling effect

钱登辉、刘国庆、张泽鑫、葛昊然、邹鹏

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江苏科技大学船舶与海洋工程学院,镇江 212100

压电纳米声子晶体梁 平面波展开法 表面效应 机电耦合效应

国家自然科学基金项目中国科协青年人才托举工程项目江苏省高等学校自然科学研究项目江苏省研究生科研与实践创新计划项目

523013732022QNRC00122KJB80005SJCX22_1961

2024

10.20061/j.issn.1673-4807.2024.04.004

江苏科技大学学报(自然科学版)
江苏科技大学

江苏科技大学学报(自然科学版)

影响因子：0.373
ISSN：1673-4807
年,卷(期)：2024.38(4)