A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading
Abstract This paper presents the nonlinear vibration of porous functionally graded sandwich plate on elastic foundations subjected to blast loading by the analytical approach. The sandwich plate consists of two FGM face sheets and a homogeneous core which is made from metal or ceramic. Two types of porosity distribution, including evenly and unevenly distributed porosity have been considered for sandwich plate. The material properties of sandwich plate are assumed to vary in the thickness direction according to simple power law distribution with a volume fraction index and a porosity coefficient. The blast loading is assumed to be uniformly distributed on the surface of the sandwich plate and modeled by an exponential function. The Reddy’s higher order shear deformation theory with von Kármán type nonlinearity is used to establish governing equations for the vibration of sandwich plate. By applying Galerkin and fourth-order Runge–Kutta methods, the numerical results show the effects of volume fraction index, porosity coefficient, type of porosity distribution, geometrical parameters, elastic foundations and parameters of blast loading on the nonlinear vibration of the sandwich plate. Comparisons are conducted to evaluate the reliability of the obtained results.
Highlights The nonlinear vibration. The porous functionally graded sandwich plate. The plate resting on elastic foundations and subjected to blast loading. Using the analytical approach and Redyy’s HSDT. Galerkin and fourth-order Runge–Kutta methods are applied.
Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading
Abstract This paper presents the nonlinear vibration of porous functionally graded sandwich plate on elastic foundations subjected to blast loading by the analytical approach. The sandwich plate consists of two FGM face sheets and a homogeneous core which is made from metal or ceramic. Two types of porosity distribution, including evenly and unevenly distributed porosity have been considered for sandwich plate. The material properties of sandwich plate are assumed to vary in the thickness direction according to simple power law distribution with a volume fraction index and a porosity coefficient. The blast loading is assumed to be uniformly distributed on the surface of the sandwich plate and modeled by an exponential function. The Reddy’s higher order shear deformation theory with von Kármán type nonlinearity is used to establish governing equations for the vibration of sandwich plate. By applying Galerkin and fourth-order Runge–Kutta methods, the numerical results show the effects of volume fraction index, porosity coefficient, type of porosity distribution, geometrical parameters, elastic foundations and parameters of blast loading on the nonlinear vibration of the sandwich plate. Comparisons are conducted to evaluate the reliability of the obtained results.
Highlights The nonlinear vibration. The porous functionally graded sandwich plate. The plate resting on elastic foundations and subjected to blast loading. Using the analytical approach and Redyy’s HSDT. Galerkin and fourth-order Runge–Kutta methods are applied.
Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading
Quan, Tran Quoc (author) / Ha, Do Thi Thu (author) / Duc, Nguyen Dinh (author)
Thin-Walled Structures ; 170
2021-10-28
Article (Journal)
Electronic Resource
English
Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core
| Online Contents | 2016
Buckling of piezoelectric functionally graded plate subjected to electro-mechanical loading
| British Library Online Contents | 2012