Nonlinear Dynamic Response and Buckling of Damaged Composite Pipes Under Radial Impact

2006 ◽  
Author(s):  
Wenyong Tang ◽  
Tianlin Wang ◽  
Shengkun Zhang
Keyword(s):  
Dynamic Response ◽  
Shear Deformation ◽  
Nonlinear Dynamic ◽  
Shear Deformation Theory ◽  
Nonlinear Dynamic Response ◽  
Nonlinear Dynamic Equations ◽  
Geometric Deformation ◽  
Initial Geometric Imperfections ◽  
Set Up ◽  
Composite Pipes

In this paper, the nonlinear dynamic response and buckling of damaged composite pipes under radial impact is investigated. A model involving initial geometric deformation, delamination and sub-layer matrix damage is set up for theoretical analysis. Based on the first order shear deformation theory, the nonlinear dynamic equations of the composite pipe considering transverse shear deformation and initial geometric imperfections are obtained by Hamilton’s theory and solved by a semi-analytical finite difference method. The effects of damage on the dynamic response and buckling of composite pipes are discussed.

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.

Nonlinear Dynamic Response of Piezoelectric Plates Considering Damage Effects

2006 ◽  
Vol 324-325 ◽  
pp. 299-302 ◽  
Author(s):  
Yi Ming Fu ◽  
Xian Qiao Wang
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Internal State ◽  
Constitutive Relations ◽  
Damage Model ◽  
State Variables ◽  
Nonlinear Dynamic Response ◽  
Internal State Variables ◽  
Nonlinear Dynamic Equations ◽  
Piezoelectric Plates

Based on the Talreja’s tensor valued internal state variables damage model and the Helmhotlz free energy of piezoelectric material, the constitutive relations of the piezoelectric plates with damage are derived. Then, the nonlinear dynamic equations of the piezoelectric plates considering damage are established. By using the finite difference method and the Newmark scheme, these equations are solved and the effects of damage and electric loads on the nonlinear dynamic response of piezoelectric plates are discussed.

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.

Sign in / Sign up

Export Citation Format

Share Document