An asymptotically exact theory of functionally graded piezoelectric shells
Classical Physics
2023-02-15 v2
Abstract
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.
Cite
@article{arxiv.1609.03169,
title = {An asymptotically exact theory of functionally graded piezoelectric shells},
author = {Khanh Chau Le},
journal= {arXiv preprint arXiv:1609.03169},
year = {2023}
}
Comments
42 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1606.02172