Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading
ISSN
2638231
Năm xuất bản
2022
Tác giả
Quan T.Q.
Quan T.Q., Faculty of Mechanical Engineering and Mechatronics, Phenikaa University, 12116, Hanoi, Viet Nam, Phenikaa Institute for Advanced Study (PIAS), Phenikaa University, 12116, Hanoi, Viet Nam
Ha D.T.T.
Ha D.T.T., Department of Engineering and Technology in Constructions and Transportation—VNU Hanoi, University of Engineering and Technology, 144 – Xuan Thuy, Cau Giay, Hanoi, Viet Nam
Duc N.D., International School of Vietnam National University, Hanoi, G7 & G8 Building, 144 Xuan Thuy Street, Cau Giay, Ha Noi, Viet Nam, NTT Institute of High Technology, Nguyen Tat Thanh University - District 4, Ho Chi Minh City, Viet Nam, National Research Laboratory, Department of Civil and Environmental Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, 05006, Seoul, South Korea
DOI
10.1016/j.tws.2021.108606
Tóm tắt
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. © 2021 Elsevier Ltd