Thermal buckling load optimization of laminated general quadrilateral and trapezoidal thin plates

2013 ◽  
Vol 20 (1) ◽  
pp. 87-94 ◽  
Author(s):  
Umut Topal
Keyword(s):  
Plate Theory ◽  
Mathematical Formulation ◽  
Thermal Buckling ◽  
Laminated Plates ◽  
Buckling Load ◽  
Thin Plates ◽  
Load Optimization ◽  
Aspect Ratios ◽  
Feasible Direction Method ◽  
Optimization Routine

AbstractThis paper deals with thermal buckling load optimization of symmetrically laminated angle-ply general quadrilateral and trapezoidal thin plates. The objective function is to maximize the critical temperature capacity of the quadrilateral and trapezoidal laminated plates and the fiber orientation is considered as a design variable. The mathematical formulation is based on the classical laminated plate theory for the frequency analysis. The modified feasible direction method is used as the optimization routine. Therefore, a program based on FORTRAN is used. Finally, the significant effects of aspect ratios, boundary conditions, taper ratios and unsymmetric trapezoidal plates on the optimal results are investigated and the results are compared.

Thermal buckling load optimization of laminated folded composite plates

2012 ◽  
Vol 19 (3) ◽  
pp. 315-322 ◽  
Author(s):  
Umut Topal
Keyword(s):  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Buckling Load ◽  
Feasible Direction ◽  
Load Optimization ◽  
Feasible Direction Method ◽  
Temperature Load ◽  
Optimization Routine

AbstractIn this study, thermal buckling load optimization of symmetrically laminated composite folded plates subjected to uniformly distributed temperature load is investigated. The objective function is to maximize the critical temperature capacity of laminates and the fiber orientation is considered as a design variable. The first-order shear deformation theory is used to study thermal buckling response of the laminates. The modified feasible direction method is used as the optimization routine. For this purpose, a program based on Fortran is used for the optimization. Finally, the significant effects of crank angles, plate lengths and boundary conditions on the optimum results are demonstrated and the results are compared.

scholarly journals Thermal Buckling of Angle-Ply Laminated Plates Using New Displacement Function

2019 ◽  
Vol 25 (12) ◽  
pp. 96-113
Author(s):  
Ibtehal Abbas Sadiq ◽  
Widad Majeed
Keyword(s):  
Displacement Field ◽  
Equations Of Motion ◽  
Order Theory ◽  
Higher Order ◽  
Displacement Function ◽  
Thermal Buckling ◽  
Laminated Plates ◽  
Three Dimensions ◽  
Thin Plates ◽  
Aspect Ratios

ABSTRACT Critical buckling temperature of angle-ply laminated plate is developed using a higher-order displacement field. This displacement field used by Mantari et al based on a constant ‘‘m’’, which is determined to give results closest to the three dimensions elasticity (3-D) theory. Equations of motion based on higher-order theory angle ply plates are derived through Hamilton, s principle, and solved using Navier-type solution to obtain critical buckling temperature for simply supported laminated plates. Changing (α2/ α1) ratios, number of layers, aspect ratios, E1/E2 ratios for thick and thin plates and their effect on thermal buckling of angle-ply laminates are studied in detail. It is concluded that, this displacement field produces numerical results close to 3-D elasticity theory with maximum discrepancy (7.4 %).

Frequency optimization of laminated composite plates with different intermediate line supports

2012 ◽  
Vol 19 (3) ◽  
pp. 295-306 ◽  
Author(s):  
Umut Topal
Keyword(s):  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Element Model ◽  
Aspect Ratios ◽  
Feasible Direction Method ◽  
Isoparametric Finite Element ◽  
Optimization Routine ◽  
Frequency Optimization ◽  
Internal Line Supports

AbstractThis paper deals with frequency optimization of symmetrically laminated 4-layered angle-ply plates with one or two different intermediate line supports. The design objective is the maximization of the fundamental frequency and the design variable is the fiber orientation in the layers. The first order shear deformation theory and nine-node isoparametric finite element model are used for finding the natural frequencies of laminates. The modified feasible direction method is used for the optimization routine. For this purpose, a program based on FORTRAN is used. Finally, the numerical analysis is carried out to investigate the effects of location of the internal line supports, plate aspect ratios and boundary conditions on the optimal designs and the results are compared.

Buckling analysis of anti-symmetric cross and angle-ply laminated composite plates

2018 ◽  
Vol 106 (2) ◽  
pp. 205
Author(s):  
L. Bouyaya
Keyword(s):  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Longitudinal Direction ◽  
Laminated Plates ◽  
Buckling Load ◽  
Governing Equations ◽  
Navier Solution ◽  
Buckling Behavior ◽  
Important Progress

This article has for objective to analyze the buckling behavior of the unidirectional laminated plates. In this purpose, we propose an analytically method, based on the theory of classical, orthotropic plate theory. The governing equations are solved using Navier solution for uniform uniaxial loading in longitudinal direction. We were interested to identify the critical buckling load for simply supported antisymmetric cross-ply and antisymmetric angle-ply laminates of rectangular shape. Some important progress has been made on these relatively complicated buckling problems, involving coupling between bending and midplane stretching during a buckling deformation. Effects of different parameters such as fiber orientation angles, aspect ratio, modular ratio and number of layers were examined. Results are presented in the form of plots showing the variation in non-dimensional buckling load.

scholarly journals On the Shear Buckling of Clamped Narrow Rectangular Orthotropic Plates

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Seyed Rasoul Atashipour ◽  
Ulf Arne Girhammar
Keyword(s):  
Closed Form ◽  
Plate Theory ◽  
Exact Analytical Solution ◽  
Differential Quadrature Method ◽  
Thin Plates ◽  
Orthotropic Plates ◽  
Classical Plate Theory ◽  
Aspect Ratios ◽  
Wide Range ◽  
Shear Buckling

This paper deals with stability analysis of clamped rectangular orthotropic thin plates subjected to uniformly distributed shear load around the edges. Due to the nature of this problem, it is impossible to present mathematically exact analytical solution for the governing differential equations. Consequently, all existing studies in the literature have been performed by means of different numerical approaches. Here, a closed-form approach is presented for simple and fast prediction of the critical buckling load of clamped narrow rectangular orthotropic thin plates. Next, a practical modification factor is proposed to extend the validity of the obtained results for a wide range of plate aspect ratios. To demonstrate the efficiency and reliability of the proposed closed-form formulas, an accurate computational code is developed based on the classical plate theory (CPT) by means of differential quadrature method (DQM) for comparison purposes. Moreover, several finite element (FE) simulations are performed via ANSYS software. It is shown that simplicity, high accuracy, and rapid prediction of the critical load for different values of the plate aspect ratio and for a wide range of effective geometric and mechanical parameters are the main advantages of the proposed closed-form formulas over other existing studies in the literature for the same problem.

scholarly journals Review on Thermal Buckling of Symmetric Cross-Ply Laminated Plate

2020 ◽  
pp. 327-333
Author(s):  
Balram Yadav ◽  
Simant ◽  
Shivendra Kumar Yadav
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Plate Theory ◽  
Ritz Method ◽  
Shear Deformation Theory ◽  
Thermal Buckling ◽  
Laminated Plate ◽  
Uniform Temperature ◽  
First Order ◽  
Aspect Ratios

In the present work thermal buckling of symmetric cross-ply composite laminates is investigated. In this study, a square plate element is employed for the thermal buckling analysis of composite laminated plates. The maximum buckling temperature of symmetric cross-ply laminates under various sides to thickness ratios, aspect ratios, stacking sequence and boundary condition are studied in detail. The maximum buckling temperature analysis of square composite eight and four layered plates under uniform temperature rise is investigated using the classical laminated plate theory & first order shear deformation theory and material properties (Stiffnesses, Poisson’s ratio and Coefficient of thermal expansion) are considered to be temperature dependent. The classical laminated plate theory and first order shear deformation theory in conjunction with the Rayleigh-Ritz method is used for the evaluation of the thermal buckling parameters of structures made out of graphite fibers with an epoxy matrix. The post-buckling response of symmetrically cross-ply laminated composite plates subjected to a combination of uniform temperature distribution through the thickness and in-plane compressive edge loading is presented. The maximum buckling temperature is obtained from the solution. The computing is done by using MATLAB.

Flexure Analysis of Laminated Plates Using Multiquadratic RBF Based Meshfree Method

2018 ◽  
Vol 15 (06) ◽  
pp. 1850049 ◽  
Author(s):  
Manoj Kumar Solanki ◽  
Rahul Kumar ◽  
Jeeoot Singh
Keyword(s):  
Deformation Theory ◽  
Thick Plate ◽  
Mathematical Formulation ◽  
Shear Deformation Theory ◽  
Meshfree Method ◽  
Laminated Plates ◽  
Physical Problem ◽  
Thin Plates ◽  
Transverse Loading ◽  
Nonlinear Flexure

The linear and nonlinear flexure analysis of laminated plates with twenty theories with the five variable higher order shear deformation theory (HSDT) is investigated using multiquadratic radial basis function based meshfree method. The mathematical formulation of the actual physical problem of the plate subjected to transverse loading is presented utilizing von Karman nonlinear kinematics. These non-linear governing differential equations of equilibrium are linearized using quadratic extrapolation technique. The different results for deflection and stresses are obtained for thin to a thick plate and compared with some published results. It is observed that some of the theories taken here are well suited for analysis of thin as well as a thick plate while some theories are suited only for thin plates.

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