Vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation and third-order shear deformation theory under thermal environment

Deformation Theory ◽

Cylindrical Shells ◽

Homogeneous Equation ◽

Nonlinear Coefficient ◽

Functionally Graded ◽

Third Order ◽

The effects of third-order shear deformation theory and varied shear correction coefficient on the vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation under thermal environment are investigated. The nonlinear coefficient term of displacement field of third-order shear deformation theory is included to derive the fully homogeneous equation under free vibration of functionally graded material cylindrical shells. The determinant of the coefficient matrix in dynamic equilibrium differential equations under free vibration can be represented into the fully fifth-order polynomial equation, thus the natural frequency can be found. Two parametric effects of environment temperature and functionally graded material power law index on the natural frequency of functionally graded material thick cylindrical shells with and without the nonlinear coefficient term of displacement fields are computed and investigated.

Buckling Analysis of Functionally Graded Material Plate Using Third-Order Shear Deformation Theory

INROADS- An International Journal of Jaipur National University ◽

10.5958/2277-4912.2018.00011.5 ◽

2018 ◽

Vol 7 (si) ◽

pp. 63

Author(s):

Robin Khandelwal ◽

Vishwajeet Kumar ◽

Kanishk Sharma

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Buckling Analysis ◽

Functionally Graded ◽

Third Order ◽

An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates

Composite Structures ◽

10.1016/j.compstruct.2010.01.022 ◽

2010 ◽

Vol 92 (10) ◽

pp. 2591-2605 ◽

Cited By ~ 43

Author(s):

Chih-Ping Wu ◽

Hao-Yuan Li

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Functionally Graded ◽

Third Order ◽

A third-order shear deformation theory for nonlinear vibration analysis of stiffened functionally graded material sandwich doubly curved shallow shells with four material models

Journal of Sandwich Structures & Materials ◽

10.1177/1099636217715609 ◽

2017 ◽

Vol 21 (4) ◽

pp. 1316-1356 ◽

Cited By ~ 5

Author(s):

Dang T Dong ◽

Dao Van Dung

Keyword(s):

Vibration Analysis ◽

Deformation Theory ◽

Natural Frequencies ◽

Functionally Graded ◽

Third Order ◽

Shallow Shells ◽

Graded Material ◽

Doubly Curved

This study presents a nonlinear vibration analysis of function graded sandwich doubly curved shallow shells, which reinforced by functionally graded material stiffeners and rested on the Pasternak foundation. The shells are subjected to the combination of mechanical, thermal, and damping loading. Four models of the sandwich shells with general sigmoid and power laws distribution are considered. The governing equations are established based on the third-order shear deformation theory. Von Kármán-type nonlinearity and smeared stiffener technique are taken into account. The explicit expressions for determining natural frequencies, nonlinear frequency–amplitude relation, and time–deflection curves are obtained by employing the Galerkin method. Finally, the fourth-order Runge–Kutta method is applied to investigate the influences of functionally graded material stiffeners, the boundary conditions, the models of the shells, thermal environment, foundation and geometrical parameters on the natural frequencies and dynamic nonlinear responses of the sandwich shells.

Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads

Nonlinear Dynamics ◽

10.1007/s11071-016-3085-6 ◽

2016 ◽

Vol 87 (2) ◽

pp. 879-894 ◽

Cited By ~ 96

Author(s):

P. Phung-Van ◽

Loc V. Tran ◽

A. J. M. Ferreira ◽

H. Nguyen-Xuan ◽

M. Abdel-Wahab

Keyword(s):

Shear Deformation ◽

Isogeometric Analysis ◽

Deformation Theory ◽

Functionally Graded ◽

Mechanical Loads ◽

Graded Material ◽

Nonlinear Transient

Nonlinear stability analysis of stiffened functionally graded material sandwich cylindrical shells with general Sigmoid law and power law in thermal environment using third-order shear deformation theory

Journal of Sandwich Structures & Materials ◽

10.1177/1099636217704863 ◽

2017 ◽

Vol 21 (3) ◽

pp. 938-972 ◽

Cited By ~ 1

Author(s):

Dao Van Dung ◽

Nguyen Thi Nga ◽

Pham Minh Vuong

Keyword(s):

Shear Deformation ◽

Power Law ◽

Nonlinear Stability ◽

Shell Theory ◽

Cylindrical Shells ◽

Functionally Graded ◽

Thermal Loads ◽

Third Order ◽

This paper investigates analytically nonlinear buckling and postbuckling of functionally graded sandwich circular thick cylindrical shells filled inside by Pasternak two-parameter elastic foundations under thermal loads and axial compression loads. Shells are reinforced by closely spaced functionally graded material (FGM) rings and stringers. The temperature field is taken into account. Two general Sigmoid law and general power law, with four models of stiffened FGM sandwich cylindrical shell, are proposed. Using the Reddy’s third-order shear deformation shell theory (TSDT), stress function, and Lekhnitsky’s smeared stiffeners technique, the governing equations are derived. The closed form to determine critical axial load and postbuckling load-deflection curves are obtained by the Galerkin method. The effects of the face sheet thickness to total thickness ratio, stiffener, foundation, material, and dimensional parameters on critical thermal loads, critical mechanical loads and postbuckling behavior of shells are analyzed. In addition, this paper shows that for thin shells we can use the classical shell theory to investigate stability behavior of shell, but for thicker shells the use of TSDT for analyzing nonlinear stability of shell is necessary and suitable.