Vibration suppression for laminated composite plates with arbitrary boundary conditions

2013 ◽  
Vol 49 (5) ◽  
pp. 519-530 ◽  
Author(s):  
J. Li ◽  
Y. Narita
Keyword(s):  
Boundary Conditions ◽  
Vibration Suppression ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Arbitrary Boundary ◽  
Arbitrary Boundary Conditions

scholarly journals Vibration Characteristics Analysis of Moderately Thick Laminated Composite Plates with Arbitrary Boundary Conditions

Materials ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 2829 ◽  
Author(s):  
Zechang Xue ◽  
Qiuhong Li ◽  
Wenhao Huang ◽  
Yongxin Guo ◽  
Jiufa Wang
Keyword(s):  
Boundary Conditions ◽  
Laminated Composite ◽  
Composite Plates ◽  
Vibration Characteristics ◽  
Laminated Plates ◽  
Response Analysis ◽  
Laminated Composite Plates ◽  
Energy Principle ◽  
Arbitrary Boundary ◽  
Arbitrary Boundary Conditions

In this study, an improved Fourier series method is presented for the vibration modeling and analysis of moderately thick laminated composite plates with arbitrary boundary conditions, in which the vibration displacements are sought as the linear combination of a double Fourier cosine series and auxiliary series functions. The vibration model was established using the Hamilton energy principle. To study the vibration characteristics of laminated composite plates more comprehensively, firstly, the accuracy of the current results were validated via comparison with previous results and finite element method data. A parametric study was conducted on the effects of several key parameters, such as the h/b ratio, orientation and number of layers. In this section, both solutions are applicable to various combinations of boundary constraints, including classical boundary conditions and elastic-supported boundary conditions. Secondly, in order to identify the action position of vibration and the transmission of vibration energy, the response analysis of laminated plates was studied, and the power flow field for laminated plates was analyzed. Finally, a modal test was introduced to further verify the accuracy of the method in this paper.

Bubble Complex Finite Strip Method in the Stability and Vibration Analysis of Orthotropic Laminated Composite Plates

2020 ◽  
Vol 12 (09) ◽  
pp. 2050106
Author(s):  
Mohammad Sekhavatjou ◽  
Mojtaba Azhari ◽  
Saeid Sarrami-Foroushani
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Composite Plates ◽  
Higher Order ◽  
Laminated Composite Plates ◽  
Finite Strip ◽  
Finite Strip Method ◽  
The Stability ◽  
Zigzag Theory

In this study, a bubble complex finite strip method (BCFSM) with the higher-order zigzag theory is formulated for mechanical buckling and free vibration analysis of laminated composite plates, including cross-ply and angle-ply laminates. Few studies have been done to obtain the analytical solutions for clamped and free boundary conditions in the longitudinal and transverse edges. Therefore, this study, for the first time, investigates the effects of various boundary conditions on the stability and vibration results of laminated composite plates subjected to axial or pure shear forces with the use of higher-order zigzag theory and BCFSM. Following this, both the interlaminar continuity conditions of transverse shear stresses and the shear-free surface conditions are satisfied by applying a cubic displacement and a zigzag linear varying displacement with the same number of unknowns as the first-order shear deformation theories. Moreover, the effects of width-to-thickness ratio, fiber orientation, number of modes, different dimensional ratios of the plate, and finally, the number of layers are investigated through numerical examples. The bubble shape functions are exploited in the transverse direction to improve the convergence of the method. Finally, the shearing and axial interaction diagrams of composite laminated plates are presented for various types of boundary conditions.

Vibration Control of Laminated Composite Plates Using Magnetostrictive Layers

2000 ◽  
Author(s):  
J. N. Reddy ◽  
S. Krishnan
Keyword(s):  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Element Model ◽  
Smart Material ◽  
Laminated Composite Plates ◽  
Sensors And Actuators ◽  
Third Order ◽  
Theoretical Formulation

Abstract In the present study, a theoretical formulation of laminated composite plates with integrated smart material layers, used as sensors and actuators for the vibration suppression of laminated composite plates, is presented. The third-order shear deformation theory of Reddy and a simple negative velocity feed back control are used to actively control the dynamic response of the plate. The Navier (analytical) solutions are derived for simply supported boundary conditions and a displacement finite element model is developed for a general plate. The effects of material properties, lamination scheme, and placement of the smart material layer on vibration suppression are investigated.

Vibroacoustic analysis of a thin laminated composite plate with surface-boned piezoelectric patches and subjected to general boundary conditions

2021 ◽  
Vol 263 (4) ◽  
pp. 2501-2509
Author(s):  
Zhengmin Hu ◽  
Kai Zhou ◽  
Yong Chen
Keyword(s):  
Fourier Series ◽  
Boundary Conditions ◽  
Composite Plate ◽  
Laminated Composite ◽  
Composite Plates ◽  
General Boundary ◽  
General Boundary Conditions ◽  
Acoustic Response ◽  
Laminated Composite Plates ◽  
Laminated Composite Plate

In this paper, a semi-analytical model is proposed to deal with the vibroacoustic problems of laminated composite plates with surfaced-boned piezoelectric patches and subjected to general boundary condition using the modified Fourier series method. Based on Kirchhoff plate theory, the dynamic equation of the laminated composite plate is derived using Hamilton's principle. In order to satisfy general boundary conditions, the displacement solution of the plate is expressed in the form of two-dimensional Fourier series and serval auxiliary functions. The acoustic response of the laminated composite plate due to a harmonic concentrated force is obtained with the Rayleigh integral. Besides, the mass and stiffness contribution of the piezoelectric patch are taken into consideration in the present study. Through enough convergent studies and comparative studies, the convergence, accuracy and universality of the proposed method are validated. The developed semi-analytical model can be used for efficient and accurate analysis and design of laminated composite plates equipped with shunted piezoelectric patches. Finally, the effects of the resistor and inductor shunt damping circuits on the vibration and acoustic response is discussed.

BUCKLING OF SYMMETRICALLY LAMINATED COMPOSITE PLATES USING THE ELEMENT-FREE GALERKIN METHOD

2002 ◽  
Vol 02 (03) ◽  
pp. 281-294 ◽  
Author(s):  
G. R. LIU ◽  
X. L. CHEN ◽  
J. N. REDDY
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Conditions ◽  
Present Method ◽  
Plate Theory ◽  
Orthogonal Transformation ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Element Free Galerkin ◽  
Element Free

An element free Galerkin (EFG) method is presented for buckling analyses of isotropic and symmetrically laminated composite plates using the classical plate theory. The shape functions are constructed using the moving least squares (MLS) approximation, and no element connectivity among nodes is required. The deflection can be easily approximated with higher-order polynomials as desired. The discrete eigenvalue problem is derived using the principle of minimum total potential energy of the system. The essential boundary conditions are introduced into the formulation through the use of the Lagrange multiplier method and the orthogonal transformation techniques. Since the dimension of the eigenvalue problem obtained by the present method is only one third of that in the conventional finite element method (FEM), solving the eigenvalue problem in the EFG is computationally more efficient compared to the FEM. Buckling load param-eters of isotropic and symmetrically laminated composite plates for different boundary conditions are calculated to demonstrate the efficiency of the present method.

scholarly journals A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory

2013 ◽  
Vol 10 (2) ◽  
pp. 1 ◽  
Author(s):  
RF Rango ◽  
FJ Bellomo ◽  
LG Nallim
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Static Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
General Algorithm ◽  
Laminated Composite Plates ◽  
First Order

 This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the aforementioned plate problems, a general algorithm based on the Ritz method and the use of beam orthogonal polynomials as coordinate functions is derived. This general algorithm provides an analytical approximate solution that can be applied to the static analysis of moderately thick laminated composite plates with any lamination scheme and combination of edge conditions. The convergence, accuracy, and flexibility of the obtained general algorithm are shown by computing several numerical examples and comparing some of them with results given in the literature. Some results, including general laminates and nonsymmetrical boundary conditions with free edges, are also presented. 

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