scholarly journals Effects of geometric ratios and fibre orientation on the natural frequencies of laminated composite plates

2015 ◽  
Vol 2 (2) ◽  
pp. 203
Author(s):  
B Attaf ◽  
M Bachene
Keyword(s):  
Natural Frequencies ◽  
Fibre Orientation ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates

Natural Frequency of Laminated Composite Plates Using a Sinusoidal Theory

2014 ◽  
Vol 709 ◽  
pp. 148-152
Author(s):  
Guo Qing Zhou ◽  
Ji Wang ◽  
Song Xiang
Keyword(s):  
Differential Equations ◽  
Analytical Method ◽  
Deformation Theory ◽  
Natural Frequencies ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Simply Supported ◽  
Sinusoidal Shear Deformation Theory

Sinusoidal shear deformation theory is presented to analyze the natural frequencies of simply supported laminated composite plates. The governing differential equations based on sinusoidal theory are solved by a Navier-type analytical method. The present results are compared with the available published results which verify the accuracy of sinusoidal theory.

Natural Frequencies of Stiffenened and Unstiffened Laminated Composite Plates

2007 ◽  
Author(s):  
M. T. Ahmadian ◽  
T. Pirbodaghi ◽  
M. Pak
Keyword(s):  
Timoshenko Beam ◽  
Degrees Of Freedom ◽  
Natural Frequencies ◽  
Compressive Force ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Axial Tension ◽  
Tension And Compression ◽  
Plane Displacement

In this study, the free vibration of laminated composite plates with and without stiffeners subjected to axial loads is carried out using finite element method. The plates are stiffened by laminated composite strip and Timoshenko beam. The plates and the strips are modeled with rectangular 9 noded isoparametric quadratic elements with three degrees of freedom per node and the Timoshenko beam is modeled with linear 2 noded isoparametric quadratic elements with 2 degrees of freedom per node. The effects of both shear deformation and rotary inertia are implemented in the modeling of plate and stiffener. The governing differential equations are obtained in terms of the mid-plane displacement components and shear rotations using Hamilton’s principle. The effects of axial tension and compression loads and stiffeners on the natural frequencies of the plate are investigated. Results indicate the tension loads and stiffeners will increase the natural frequencies while the compression loads reduce the natural frequencies. The buckling force of plate is computed by increasing the absolute value of compressive force until the first natural frequency tends to zero. Results of simple cases are compared with finding in the literature and a good agreement was achieved.

The Research of Structural Parameters on Natural Frequency of Laminated Composite Plates

2013 ◽  
Vol 740 ◽  
pp. 461-464
Author(s):  
Fei Zhao ◽  
Jin Wu Wu
Keyword(s):  
Natural Frequencies ◽  
Structural Parameters ◽  
Orientation Angle ◽  
Laminated Composite ◽  
Composite Plates ◽  
Element Model ◽  
Laminated Composite Plates ◽  
Laminated Composite Plate ◽  
Modulus Ratio ◽  
Depth Ratio

In this paper, natural frequencies of laminated composite plates were studied. The layerwise finite element model is imposed to determine the natural frequencies of laminated composite plates. The effects of panel orientation angle, elastic modulus ratio and width-depth ratio on the natural frequencies of the laminated composite are then discussed. With an example of a sixteen-laying laminated plate, the numerical simulations show that the factor of key structural parameters to the natural frequencies of the laminated composite plate is panel orientation angle and width-depth ratio.

Shape Parameter Optimization of Gaussian Radial Basis Function Using Genetic Algorithm for Natural Frequencies of Laminated Composite Plates

2014 ◽  
Vol 709 ◽  
pp. 153-156
Author(s):  
Guo Qing Zhou ◽  
Wei Ping Zhao ◽  
Song Xiang
Keyword(s):  
Genetic Algorithm ◽  
Radial Basis Function ◽  
Basis Function ◽  
Shape Parameter ◽  
Natural Frequencies ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Simply Supported ◽  
Radial Basis

Natural frequencies of simply supported laminated composite plates are calculated by the meshless global collocation method based on Gaussian radial basis function. The accuracy of meshless global radial basis function collocation method depends on the choice of shape parameter of radial basis function. In present paper, the shape parameter of Gaussian radial basis function is optimized using the genetic algorithm. Gaussian radial basis function with optimal shape parameter is utilized to analyze the natural frequencies of simply supported laminated composite plates. The present results are compared with the results of available literatures which verify the accuracy of present method.

Shape Parameter Optimization of Inverse Multiquadrics Radial Basis Function for Vibration of Laminated Composite Plates

2014 ◽  
Vol 1082 ◽  
pp. 433-436
Author(s):  
Ying Tao Chen ◽  
Song Xiang ◽  
Wei Ping Zhao
Keyword(s):  
Radial Basis Function ◽  
Collocation Method ◽  
Basis Function ◽  
Shape Parameter ◽  
Natural Frequencies ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Simply Supported ◽  
Radial Basis

Free vibration of simply laminated composite plates is studied by the global collocation method based on inverse multiquadrics radial basis function. The choice of shape parameter of radial basis function has the important effect on the accuracy of meshless radial basis function collocation method. Genetic algorithm is used to optimize the shape parameter of inverse multiquadrics radial basis function. The natural frequencies of simply supported laminated composite plates are calculated using the inverse multiquadrics radial basis function with optimal shape parameter and compared with the analytical solutions.

Global Gaussian Collocation Method for Free Vibration Analysis of Laminated Composite Plates

2013 ◽  
Vol 785-786 ◽  
pp. 244-247
Author(s):  
Jiang Wu ◽  
Song Xiang
Keyword(s):  
Free Vibration ◽  
Collocation Method ◽  
Present Method ◽  
Deformation Theory ◽  
Natural Frequencies ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Laminated Composite Plates

In the present paper we used the global Gaussian collocation method and trigonometric shear deformation theory to analyze free vibration of laminated composite plates. Natural frequencies computed by the present method are found to agree well with those from some available published results.

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