An asymptotically exact theory of functionally graded piezoelectric shells

被引：39
作者：
Le, K. C. [1 ]
机构：
[1] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2017年 / 112卷
关键词：
Functionally graded; Piezoelectric; Shell; Variational-asymptotic method; HIGH-FREQUENCY VIBRATIONS; DEFORMATIONS; ACTUATORS; PLATES;
D O I：
10.1016/j.ijengsci.2016.12.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An asymptotically exact two-dimensional theory of functionally graded piezoelectric shells is derived by the variational-asymptotic method. The error estimation of the constructed theory is given in the energetic norm. As an application, analytical solution to the problem of forced vibration of a functionally graded piezoceramic cylindrical shell with thickness polarization fully covered by electrodes and excited by a harmonic voltage is found. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：42 / 62
页数：21
相关论文
共 50 条
[1]   An asymptotically exact theory of smart sandwich shells [J].
Le, Khanh Chau ;
Yi, Jeong-Hun .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2016, 106 :179-198
[2]   Asymptotically exact theory of functionally graded elastic beams [J].
Le, K. C. ;
Tran, T. M. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2025, 209
[3]   A high order theory for functionally graded piezoelectric shells [J].
Wu, XH ;
Chen, CQ ;
Shen, YP ;
Tian, XG .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2002, 39 (20) :5325-5344
[4]   Functionally graded cylinders : Asymptotically exact analytical formulations [J].
Sachdeva, Chirag ;
Padhee, Srikant Sekhar .
APPLIED MATHEMATICAL MODELLING, 2018, 54 :782-802
[5]   An asymptotically exact first-order shear deformation theory for functionally graded plates [J].
Le, K. C. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2023, 190
[6]   Piezothermoelastic Solutions of Functionally Graded Piezoelectric Shells [J].
Shu, Xiao-ping .
PROCEEDINGS OF THE 7TH NATIONAL CONFERENCE ON CHINESE FUNCTIONAL MATERIALS AND APPLICATIONS (2010), VOLS 1-3, 2010, :1747-1749
[7]   Functionally Graded Shells with Distributed Piezoelectric Sensors and Actuators for Active Vibration Control [J].
Narayanan, S. ;
Balamurugan, V. .
IUTAM SYMPOSIUM ON MULTI-FUNCTIONAL MATERIAL STRUCTURES AND SYSTEMS, 2010, 19 :3-+
[8]   Dynamic Thermal Postbuckling Analysis of Piezoelectric Functionally Graded Cylindrical Shells [J].
Mirzavand, B. ;
Eslami, M. R. ;
Shakeri, M. .
JOURNAL OF THERMAL STRESSES, 2010, 33 (07) :646-660
[9]   Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells [J].
Sheng, G. G. ;
Wang, X. .
APPLIED MATHEMATICAL MODELLING, 2010, 34 (09) :2630-2643
[10]   Electro-thermo-mechanical post-buckling of piezoelectric functionally graded cylindrical shells [J].
Zhu, Shengbo ;
Tong, Zhenzhen ;
Sun, Jiabin ;
Li, Qingdong ;
Zhou, Zhenhuan ;
Xu, Xinsheng .
APPLIED MATHEMATICAL MODELLING, 2021, 98 :309-322
12345