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