Free Vibration Analysis of Composite Wings Using Differential Quadrature Method with Mechanical Properties

2013 ◽  
Vol 644 ◽  
pp. 207-211
Author(s):  
Yan Ping Xiao ◽  
Yi Ren Yang ◽  
Yu Qian
Keyword(s):  
Mechanical Properties ◽  
Composite Beam ◽  
Natural Frequencies ◽  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Laminated Composite Beam

In this study, the natural frequencies of composite wings are investigated using the differential quadrature method (DQM) with Mechanical Properties. DQM is an efficient discretization technique for obtaining accurate numerical solutions to initial and/or boundary value problems using a considerably small number of grid points. In this way, a theoretical DQM model for the laminated composite beam has been developed. Some of the results obtained from DQM are compared with the results obtained in the literature. It has been seen that all of the results considered are very close to each other. It is also been concluded that the bending-torsional coupling rigidity of the composite beam has great and different influence on the first three natural frequencies.

Dynamic Behavior of a Plate Under Air Blast Load Using Differential Quadrature Method

2007 ◽  
Author(s):  
Murat Tuna ◽  
Halit S. Turkmen
Keyword(s):  
Dynamic Behavior ◽  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Blast Load ◽  
Solution Technique ◽  
Design Decision ◽  
Quadrature Method ◽  
Air Blast

The effect of blast load on the plate and shell structures has an important role on design decision. Blast load experiments are usually difficult and expensive. Therefore, numerical studies have been done on the response of blast loaded structures. However, because of time dependency of the nature of the problem, numerical solutions take long time and need heavy computational effort. The differential quadrature method (DQM) is a numerical solution technique for the rapid solution of linear and non-linear partial differential equations. It has been successfully applied to many engineering problems. The method has especially found application widely in structural analysis such as static and free vibration analysis of beams and plates. The capability of the method to produce highly accurate solutions with minimal computational efforts makes it of current interest. In this paper, the dynamic behavior of isotropic and laminated composite plates under air blast load has been investigated using the differential quadrature method. The results are compared to the numerical and experimental results found in the literature.

Dynamics of a generally layered composite beam with single delamination based on the shear deformation theory

2015 ◽  
Vol 22 (1) ◽  
pp. 57-70 ◽  
Author(s):  
Ramazan-Ali Jafari-Talookolaei ◽  
Maryam Abedi ◽  
Mohammad H. Kargarnovin ◽  
Mohammad T. Ahmadian
Keyword(s):  
Shear Deformation ◽  
Composite Beam ◽  
Numerical Solutions ◽  
Slenderness Ratio ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Layered Composite ◽  
Rotary Inertia ◽  
Laminated Composite Beam

AbstractThe free vibration analysis of generally laminated composite beam (LCB) with a delamination is presented using the finite element method (FEM). The effect of material couplings (bending-tension, bending-twist, and tension-twist couplings) with the effects of shear deformation, rotary inertia, and Poisson’s effect are taken into account. To verify the validity and the accuracy of this study, the numerical solutions are presented and compared with the results from available references and very good agreement observed. Furthermore, the effects of some parameters such as slenderness ratio, the rotary inertia, the shear deformation, material anisotropy, ply configuration, and delamination parameters on the natural frequency of the delaminated beam are examined.

scholarly journals Free Vibration Analysis of Fiber Metal Laminate Annular Plate by State-Space Based Differential Quadrature Method

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
G. H. Rahimi ◽  
M. S. Gazor ◽  
M. Hemmatnezhad ◽  
H. Toorani
Keyword(s):  
State Space ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Annular Plate ◽  
Differential Quadrature Method ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Fiber Metal Laminate ◽  
Fiber Metal

A three-dimensional elasticity theory by means of a state-space based differential quadrature method is presented for free vibration analysis of fiber metal laminate annular plate. The kinds of composite material and metal layers are considered to be S2-glass and aluminum, respectively. A semianalytical approach which uses state-space in the thickness and differential quadrature in the radial direction is implemented for evaluating the nondimensional natural frequencies of the annular plates. The influences of changes in boundary condition, plate thickness, and lay-up direction on the natural frequencies are studied. A comparison is also made with the numerical results reported by ABAQUS software which shows an excellent agreement.

Wave characteristics of nonsymmetric cross-ply laminated composite beams

2021 ◽  
pp. 146442072097755
Author(s):  
Richard Bachoo
Keyword(s):  
Free Vibration ◽  
Composite Beam ◽  
Power Flow ◽  
Natural Frequencies ◽  
Numerical Models ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Mode Shapes ◽  
Wave Approach ◽  
Laminated Composite Beam

The free vibration characteristics of a nonsymmetric cross-ply laminated composite beam coupled in bending and longitudinal deformation is studied using a wave approach. The effects of shear deformation and rotary inertia are included in the analysis. Exact analytical expressions are derived for the natural frequencies, mode shapes, and the power flow of the propagating waves. The derived expressions are validated using the results from past literature and provide a benchmark for numerical models. The advantages of the wave approach over conventional free vibration analysis methods are highlighted. Specifically, the wave approach is used to derive a simplified expression for the mode count function of the composite beam. Additionally, the wave approach is also used to investigate the power flow and cross-conversion of the propagating wavetypes across various classical boundary conditions. The influence of the number of cross-ply layers on the natural frequencies and power flow are also investigated. The efficacy of the wave analysis is illustrated through several numerical examples.

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