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Vibration of functionally graded sandwich doubly curved shells using improved shear deformation theory

Authors :
Hao, YuXin
Li, ZhenNi
Zhang, Wei
Li, ShuangBao
Yao, MingHui
Source :
SCIENCE CHINA Technological Sciences; June 2018, Vol. 61 Issue: 6 p791-808, 18p
Publication Year :
2018

Abstract

Nonlinear forced vibrations and natural frequency of sandwich functionally graded material doubly curved shallow shell with a rectangular base are investigated. The sandwich functionally graded material (FGM) doubly curved shell is subjected to a harmonic point load at centre. The sandwich doubly curved shell with homogeneous face sheets and FGM face sheets is considered respectively when the natural frequencies are studied. Reddy’s third order shear deformation theory is expanded in which stretching effects in thickness are considered by introducing the secant function. Hamilton’s principle and von-Karman type nonlinear geometric equation are applied to obtain partial differential equation of the FGM sandwich doubly curved shell. Comparative studies with other shear deformation theories are carried out to validate the present formulation. Navier method is used to discuss the natural vibration frequencies of the FGM sandwich doubly curved shell. Numerical simulation is applied to demonstrate the nonlinear dynamic responses of the FGM sandwich doubly curved shell. Multiple periods, quasi-period and chaos are detected for the dynamic system for different core thickness.

Details

Language :
English
ISSN :
16747321 and 18691900
Volume :
61
Issue :
6
Database :
Supplemental Index
Journal :
SCIENCE CHINA Technological Sciences
Publication Type :
Periodical
Accession number :
ejs44732680
Full Text :
https://doi.org/10.1007/s11431-016-9097-7