Nonlinear Transient Response of Functionally Graded Material Sandwich Doubly Curved Shallow Shell Using New Displacement Field

2018 ◽  
Vol 31 (1) ◽  
pp. 108-126 ◽  
Author(s):  
Z. N. Li ◽  
Y. X. Hao ◽  
W. Zhang ◽  
J. H. Zhang
Keyword(s):  
Transient Response ◽  
Functionally Graded Material ◽  
Displacement Field ◽  
Shallow Shell ◽  
Functionally Graded ◽  
Graded Material ◽  
Nonlinear Transient ◽  
Doubly Curved ◽  
Nonlinear Transient Response

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

2017 ◽  
Vol 21 (4) ◽  
pp. 1316-1356 ◽  
Author(s):  
Dang T Dong ◽  
Dao Van Dung
Keyword(s):  
Functionally Graded Material ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Natural Frequencies ◽  
Shear Deformation Theory ◽  
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.

scholarly journals Three-dimensional semi-analytical solutions for the transient response of functionally graded material cylindrical panels with various boundary conditions

2019 ◽  
Vol 39 (4) ◽  
pp. 1002-1023
Author(s):  
Xu Liang ◽  
Yu Deng ◽  
Xue Jiang ◽  
Zeng Cao ◽  
Yongdu Ruan ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Boundary Conditions ◽  
Transient Response ◽  
Functionally Graded Material ◽  
Analytical Method ◽  
Composite Structures ◽  
Outer Radius ◽  
Functionally Graded ◽  
Cylindrical Panels ◽  
Graded Material

In this paper, a 3D semi-analytical method is proposed by introducing the Durbin’s Laplace transform, as well as its numerical inversion method, state space approach and differential quadrature method to analyse the transient behaviour of functionally graded material cylindrical panels. Moreover, to investigate the effectiveness of the proposed semi-analytical solution, four boundary conditions are used to undertake the analyses. Comparing the proposed approach with other theoretical methods from the literatures, we see better agreements in the natural frequencies. Besides, the semi-analytical solution acquires nearly the same transient response as those obtained by ANSYS. Convergence studies indicate that the proposed method has a quick convergence rate with growing sample point numbers along the length direction, so do layer numbers increase along the radial direction. The effects of thickness/outer radius ratio, length/outer radius ratio and functionally graded indexes are also studied. When carbon nanotube is added to functionally graded material cylindrical panel, the composite structures have been reinforced greatly. The proposed 3D semi-analytical method has high accuracy for the analysis of composite structures. This study can serve as a foundation for solving more complicated environments such as fluid–structure interaction of flexible pipe or thermal effect analysis of functionally graded material in aerospace field.

scholarly journals Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment

2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
M. G. Sobamowo ◽  
G. A. Oguntala ◽  
A. A. Yinusa
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Thermal Performance ◽  
Functionally Graded Material ◽  
Analytical Solutions ◽  
Functionally Graded ◽  
Approximate Analytical Solutions ◽  
Graded Material ◽  
Nonlinear Transient ◽  
Transient Thermal

Nonlinear transient thermal analysis of a convective-radiative fin with functionally graded materials (FGMs) under the influence of magnetic field is presented in this study. The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved approximately and analytically using the differential transformation method (DTM). In order to verify the accuracies of the nonlinear solutions, exact analytical solutions are also developed with the aids of Bessel, Legendre, and modified Bessel functions. Good agreements are established between the exact and the approximate analytical solutions. In the parametric studies, effects of heat enhancement capacity of fin with functionally graded material as compared to fin with homogeneous material are investigated. Also, influence of the Lorentz force and radiative heat transfer on the thermal performance of the fin are analyzed. From the results, it is shown that increase in radiative and magnetic field parameters as well as the in-homogeneity index improve the thermal performance of the fin. Also, the transient responses reveal that the FGM fin with quadratic-law and exponential-law function shows the slowest and fasted thermal responses, respectively. This study will provide a very good platform for the design and optimization of an improved heat transfer enhancement in thermal systems, where the surrounding fluid is influenced by a magnetic field.

Transient Response of Functionally Graded Material Circular Cylindrical Shells with Magnetostrictive Layer

2016 ◽  
Vol 32 (4) ◽  
pp. 473-478
Author(s):  
C.-C. Hong
Keyword(s):  
Transient Response ◽  
Functionally Graded Material ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Normal Displacement ◽  
Control Gain ◽  
Graded Material ◽  
Circular Cylindrical Shells ◽  
Generalized Differential ◽  
Power Law Index

AbstractThe generalized differential quadrature (GDQ) method is used to investigate the transient response of magnetostrictive functionally graded material (FGM) circular cylindrical shells. The effects of control gain value, thermal load temperature and power-law index on transient responses of dominant normal displacement and thermal stress are analyzed. With velocity feedback and suitable product values of coil constant by control gain in the magnetostrictive FGM shells can reduce the transient amplitude of displacement into a smaller value.

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