Nonlinear dynamic response of sandwich plates with FGM face sheets resting on elastic foundations in thermal environments

2013 ◽  
Vol 57 ◽  
pp. 99-110 ◽  
Author(s):  
Zhen-Xin Wang ◽  
Hui-Shen Shen
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Sandwich Plates ◽  
Nonlinear Dynamic Response ◽  
Elastic Foundations ◽  
Thermal Environments

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

2017 ◽  
Vol 21 (8) ◽  
pp. 2816-2845 ◽  
Author(s):  
Nguyen D Duc ◽  
Ngo Duc Tuan ◽  
Phuong Tran ◽  
Tran Q Quan ◽  
Nguyen Van Thanh
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Geometrical Nonlinearity ◽  
Cylindrical Panel ◽  
Geometrical Parameters ◽  
Third Order ◽  
Nonlinear Dynamic Response ◽  
Elastic Foundations ◽  
Thermal Environments ◽  
Cylindrical Panels

This study follows an analytical approach to investigate the nonlinear dynamic response and vibration of eccentrically stiffened sandwich functionally graded material (FGM) cylindrical panels with metal–ceramic layers on elastic foundations in thermal environments. It is assumed that the FGM cylindrical panel is reinforced by the eccentrically longitudinal and transversal stiffeners and subjected to mechanical and thermal loads. The material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution. Based on the Reddy’s third-order shear deformation shell theory, the motion and compatibility equations are derived taking into account geometrical nonlinearity and Pasternak-type elastic foundations. The outstanding feature of this study is that both FGM cylindrical panel and stiffeners are assumed to be deformed in the presence of temperature. Explicit relation of deflection–time curves and frequencies of FGM cylindrical panel are determined by applying stress function, Galerkin method and fourth-order Runge-Kutta method. The influences of material and geometrical parameters, elastic foundations and stiffeners on the nonlinear dynamic and vibration of the sandwich FGM panels are discussed in detail. The obtained results are validated by comparing with other results in the literature.

Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs

2016 ◽  
Vol 20 (6) ◽  
pp. 692-717 ◽  
Author(s):  
Duc Dinh Nguyen ◽  
Cong Hong Pham
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Core Material ◽  
Sandwich Plates ◽  
Negative Poisson’S Ratio ◽  
Nonlinear Dynamic Response ◽  
Elastic Foundations ◽  
Negative Poisson's Ratio

Auxetic cellular solids in the forms of honeycombs under blast load have great potential in a diverse range of applications, including core material in sandwich plates composite components. Based on Reddy’s first-order shear deformation plate theory, this paper presents an analysis of the nonlinear dynamic response and vibration of sandwich plates with negative Poisson’s ratio in auxetic honeycombes on elastic foundations subjected to blast and mechanical loads. A three-layer sandwich plate is considered discretized in the thickness direction by using analytical methods (stress function method, approximate solution), Galerkin method, and fourth-order Runge-Kutta method. The results show the effects of geometrical parameters, material properties, mechanical and elastic foundations on the nonlinear dynamic response, and vibration of sandwich plates.

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

2020 ◽  
pp. 109963622093098
Author(s):  
Jin-ming Li ◽  
Banghua Zhao ◽  
Hao Cheng ◽  
George Kardomateas ◽  
Liu Liu
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Sandwich Structure ◽  
Ad Hoc ◽  
Shear Deformation Theory ◽  
Nonlinear Dynamic Response ◽  
Thermal Environments ◽  
Stiffness Matrices ◽  
Variational Asymptotic ◽  
Flexible Core

Nonlinear dynamic response with stability analysis of a sandwich structure with flexible core are investigated by integration of variational asymptotic method (VAM) and the first-order shear deformation theory. A simply supported sandwich structure is subjected to an harmonic transverse excitation in thermal environments. Generalized 2 D Reissner-Mindlin type stiffness matrices including an equivalent transverse shear matrix are obtained based on through-the-thickness analysis using VAM without invoking any ad hoc kinematic assumptions. The governing equation is derived using Hamilton’s principle taking into account von K[Formula: see text]rm[Formula: see text]n geometric nonlinearity. Galerkin’s method is employed to develop a nonlinear differential equation of the problem with quadratic and cubic nonlinearities, which are associated with the coupling of the in-plane stretching and transverse deflection due to thermal moments. Periodic solutions are determined using the incremental harmonic balance (IHB) method and incremental arc-length technique. The stability is evaluated by Routh-Hurwitz theory. The effects of the temperature variation, geometric parameters and material properties on the resonance as well as amplitude of steady state vibration are investigated through a detail parametric study.

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