scholarly journals Thermal Buckling of Laminated Composite Plates Using a Simple Four Variable Plate Theory

2021 ◽  
Vol 27 (9) ◽  
pp. 1-19
Author(s):  
Hussein Tawfeeq Yahea ◽  
Wedad Ibraheem Majeed
Keyword(s):  
Plate Theory ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Design Parameters ◽  
Laminated Composite Plates ◽  
Buckling Behavior ◽  
Uniform Temperature Field

In this study, the thermal buckling behavior of composite laminate plates cross-ply and angle-ply all edged simply supported subjected to a uniform temperature field is investigated, using a simple trigonometric shear deformation theory. Four unknown variables are involved in the theory, and satisfied the zero traction boundary condition on the surface without using shear correction factors, Hamilton's principle is used to derive equations of  motion depending on a Simple Four Variable Plate Theory for cross-ply and angle-ply, and then solved through Navier's double trigonometric sequence, to obtain critical buckling temperature for laminated composite plates. Effect of changing some design parameters such as, orthotropy ratio (E1/E2), aspect ratio (a/b),  thickness ratio (a/h), thermal expansion coefficient ratio (α2/α1), are investigated, which have the same behavior and good agreement when compared with previously published results with maximum discrepancy (0.5%).

scholarly journals Transient analysis of laminated composite plates using NURBS-based isogeometric analysis

2014 ◽  
Vol 36 (4) ◽  
pp. 267-281
Author(s):  
Lieu B. Nguyen ◽  
Chien H. Thai ◽  
Ngon T. Dang ◽  
H. Nguyen-Xuan
Keyword(s):  
Numerical Solutions ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Present Theory ◽  
Response Analysis ◽  
Laminated Composite Plates ◽  
Analysis Model ◽  
Classical Plate Theory

We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form of response analysis model for laminated composite plates is used to obtain the discrete system of equations. It can be solved by isogeometric approach based on the non-uniform rational B-splines (NURBS) basic functions. Some numerical examples of the laminated composite plates under various dynamic loads, fiber orientations and lay-up numbers are provided. The accuracy and reliability of the proposed method is verified by comparing with analytical solutions, numerical solutions and results from Ansys software.

Stability Analysis of Symmetric Laminated Composite Plates with Geometric Imperfections Under Longitudinal Temperature Gradient

2009 ◽  
Vol 25 (2) ◽  
pp. 161-165 ◽  
Author(s):  
A. Owhadi ◽  
B. Samsam Shariat
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Laminated Composite Plates ◽  
Closed Form Solutions ◽  
Longitudinal Temperature Gradient ◽  
Longitudinal Temperature ◽  
Geometrical Imperfections

AbstractThermal buckling behaviour of rectangular laminated composite plates with initial geometrical imperfections is investigated in this article. The equilibrium, stability, and compatibility equations of an imperfect composite plate are derived using the first order shear deformation plate theory. The plate is assumed to be under longitudinal temperature rise. Resulting equations are used to obtain the thermal buckling load of the composite plate in closed-form solutions. The effect of initial imperfections on buckling loads are discussed.

scholarly journals Forced Vibration Analysis of Laminated Composite Plates under the Action of a Moving Vehicle

2021 ◽  
Vol 16 (59) ◽  
pp. 198-211
Author(s):  
Hossein Abbaszadeh Mobaraki ◽  
Ramazan-Ali Jafari-Talookolaei ◽  
Paolo S. Valvo ◽  
Reza Haghani Dogaheh
Keyword(s):  
Forced Vibration ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Lagrange Equations ◽  
Element Analysis ◽  
Moving Vehicle ◽  
Coupled Equations

This paper provides a finite element analysis of laminated composite plates under the action of a moving vehicle. The vehicle is modeled as a rigid body with four suspension systems, each consisting of a spring-dashpot. Overall, the vehicle possesses three degrees of freedom: vertical, rolling, and pitching motions. The equations of motion of the plate are deduced based on first-order shear deformation theory. Using the Euler-Lagrange equations, the system of coupled equations of motion is extracted and solved by using the Newmark time discretization scheme. The algorithm is validated through the comparison of both the free and forced vibration results provided by the present model and exact or numerical results reported in the literature. The effects are investigated of several system parameters on the dynamic response.  

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.

Free and forced vibration analysis of flyash/graphene filled laminated composite plates using higher order shear deformation theory

2021 ◽  
pp. 095440622110531
Author(s):  
Sarada P Parida ◽  
Pankaj C Jena
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Low Cost ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Weight Percentage ◽  
Circular Holes ◽  
Forced Vibration Analysis

The strength of the conventional composite plates can be enhanced by the use of additional fillers. These composite plates are often subjected to dynamic loading conditions which necessitate the study of their static and dynamic behavior. In this study, laminated composite plates (LCP) are fabricated by open layup process with epoxy as a base resin, E-glass fiber as reinforcement, and fillers: flyash and graphene. The fillers are included in order to improve the mechanical properties of the composite. The filler content in the composite is limited to 5% of the total volume. The weight percentage of fiber combined with fillers, treated as reinforcing constituents is limited to 60%. Graphene and flyash are added in different proportions to develop different kinds of LCPs. The free and forced vibrations of LCPs (using simple support end conditions) are measured by an indigenously developed low-cost vibration testing module. The experimental results have been used to validate the results obtained from the mathematical modeling by using fifth-order shear deformation theory and finite element approaches. Additionally, the effect of existing discontinuity in the LCP is studied. Circular holes of different dimensions at different locations are simulated in the numerical model and the consequences on modal frequencies are analyzed.

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