An analytical study of vibration in functionally graded piezoelectric nanoplates: nonlocal strain gradient theory

作     者：Z.SHARIFI R.KHORDAD A.GHARAATI G.FOROZANI 

作者机构：Department of PhysicsPayame Noor UniversityTehran 19395-3697Iran department of physicscollege of scienceyasouj universityyasouj 75914-353iran 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2019年第40卷第12期

页      面：1723-1740页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

主　　题：nonlocal strain gradient nanoplate functionally graded piezoelectric(FGP) 

摘      要：In this paper,we analytically study vibration of functionally graded piezoelectric(FGP)nanoplates based on the nonlocal strain gradient *** top and bottom surfaces of the nanoplate are made of PZT-5H and PZT-4,*** employ Hamilton’s principle and derive the governing differential ***,we use Navier’s solution to obtain the natural frequencies of the FGP *** the first step,we compare our results with the obtained results for the piezoelectric nanoplates in the previous *** the second step,we neglect the piezoelectric effect and compare our results with those obtained for the functionally graded(FG)***,the effects of the FG power index,the nonlocal parameter,the aspect ratio,and the lengthto-thickness ratio,and the nanoplate shape on natural frequencies are investigated.