Semi-analytical solution for three-dimensional transient response of functionally graded annular plate on a two parameter viscoelastic foundation

2014 ◽  
Vol 333 (12) ◽  
pp. 2649-2663 ◽  
Author(s):  
Xu Liang ◽  
Zhenyu Wang ◽  
Lizhong Wang ◽  
Guohua Liu
Keyword(s):  
Analytical Solution ◽  
Transient Response ◽  
Annular Plate ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Viscoelastic Foundation ◽  
Two Parameter

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.

A Parallel Domain Decomposition BEM Algorithm for Three-Dimensional Exponentially Graded Elasticity

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
J. E. Ortiz ◽  
W. A. Shelton ◽  
V. Mantič ◽  
R. Criado ◽  
L. J. Gray ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Domain Decomposition ◽  
Functionally Graded Material ◽  
Computational Cost ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Functionally Graded ◽  
Graded Material ◽  
High Computational Cost ◽  
Exponentially Graded

A parallel domain decomposition boundary integral algorithm for three-dimensional exponentially graded elasticity has been developed. As this subdomain algorithm allows the grading direction to vary in the structure, geometries arising from practical functionally graded material applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green’s functions. For axisymmetric plane strain states in a radially graded material, the numerical results for cylindrical geometries are in excellent agreement with the analytical solution deduced herein.

Sign in / Sign up

Export Citation Format

Share Document