Vibration and nonlinear dynamic response of eccentrically stiffened functionally graded composite truncated conical shells surrounded by an elastic medium in thermal environments

2018 ◽  
Vol 230 (1) ◽  
pp. 157-178 ◽  
Author(s):  
Do Quang Chan ◽  
Vu Thi Thuy Anh ◽  
Nguyen Dinh Duc
Keyword(s):  
Dynamic Response ◽  
Elastic Medium ◽  
Nonlinear Dynamic ◽  
Functionally Graded ◽  
Nonlinear Dynamic Response ◽  
Conical Shells ◽  
Functionally Graded Composite ◽  
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 of FG Graphene Platelets Reinforced Composite Beam with Edge Cracks in Thermal Environment

2020 ◽  
pp. 2043005 ◽  
Author(s):  
Zhicheng Yang ◽  
Meifung Tam ◽  
Yingyan Zhang ◽  
Sritawat Kitipornchai ◽  
Jiangen Lv ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Thermal Environment ◽  
Crack Depth ◽  
Functionally Graded ◽  
Nonlinear Dynamic Response ◽  
Response Characteristics ◽  
Reinforced Composite ◽  
Edge Cracks ◽  
Graphene Platelets

This paper presents a numerical investigation on the nonlinear dynamic response of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) beam with open edge cracks in thermal environment. It is assumed that graphene platelets (GPLs) in each GPLRC layer are uniformly distributed and randomly oriented with its concentration varying layer-wise along the thickness direction. The effective material properties of each GPLRC layer are predicted by Halpin-Tsai micromechanics-based model. Finite element method is employed to calculate the dynamic response of the cracked FG-GPLRC beam. It is found that the maximum dynamic deformation of the cracked FG-GPLRC beam under dynamic loading is quite sensitive to the crack location and grows with an increase in the crack depth ratio (CDR) and temperature rise. The influences of GPL distribution, concentration, geometry as well as the boundary conditions on the dynamic response characteristics of cracked FG-X-GPLRC beams are also investigated comprehensively.

Geometrically nonlinear dynamic response and vibration of shear deformable eccentrically stiffened functionally graded material cylindrical panels subjected to thermal, mechanical, and blast loads

2018 ◽  
Vol 22 (3) ◽  
pp. 658-688 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Ngo Duc Tuan ◽  
Pham Hong Cong ◽  
Ngo Dinh Dat ◽  
Nguyen Dinh Khoa
Keyword(s):  
Dynamic Response ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Nonlinear Dynamic ◽  
Functionally Graded ◽  
Blast Loads ◽  
Temperature Dependent ◽  
Nonlinear Dynamic Response ◽  
Cylindrical Panels ◽  
Graded Material

Based on the first order shear deformation shell theory, this paper presents an analysis of the nonlinear dynamic response and vibration of imperfect eccentrically stiffened functionally graded material (ES-FGM) cylindrical panels subjected to mechanical, thermal, and blast loads resting on elastic foundations. The material properties are assumed to be temperature-dependent and graded in the thickness direction according to simple power-law distribution in terms of the volume fractions of the constituents. Both functionally graded material cylindrical panels and stiffeners having temperature-dependent properties are deformed under temperature, simultaneously. Numerical results for the dynamic response of the imperfect ES-FGM cylindrical panels with two cases of boundary conditions are obtained by the Galerkin method and fourth-order Runge–Kutta method. The results show the effects of geometrical parameters, material properties, imperfections, mechanical and blast loads, temperature, elastic foundations and boundary conditions on the nonlinear dynamic response of the imperfect ES-FGM cylindrical panels. The obtained numerical results are validated by comparing with other results reported in the open literature.

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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