STOCHASTIC THERMAL POST-BUCKLING RESPONSE OF LAMINATED COMPOSITE CYLINDRICAL SHELL PANEL WITH SYSTEM RANDOMNESS

2012 ◽  
Vol 04 (01) ◽  
pp. 1250009 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH ◽  
SUSHIL KALE
Keyword(s):  
Cylindrical Shell ◽  
Order Statistics ◽  
Material Properties ◽  
Laminated Composite ◽  
Composite Cylindrical Shell ◽  
Random System ◽  
Second Order Statistics ◽  
Post Buckling ◽  
Shell Panel ◽  
System Properties

The effect of random system properties on thermal post-buckling temperature of laminated composite cylindrical shell panel with temperature independent (TID) and dependent (TD) material properties subjected to uniform temperature distribution is examined in this study. System properties such as material properties, thermal expansion coefficients and lamina plate thickness are modeled as independent basic random variables. The basic formulation is based on higher-order shear deformation (HSDT) theory with von-Karman nonlinearity using modified C0 continuty. A direct iterative-based C0 nonlinear finite element method (FEM) combined with Taylor series-based mean-centered first-order perturbation technique (FOPT) developed by the authors for composite plate is extended for shell panel with reasonable accuracy to compute second-order statistics of post-buckling temperature of cylindrical shell panel. Typical numerical results for second order statistics (mean and coefficient of variance) of thermal post-buckling temperature of laminated cylindrical shell panel are obtained through numerical examples for various support conditions, amplitude ratios, shell thickness ratios, aspect ratios, lamination lay-up sequences, curvature to length ratios, types of material properties with the effect of random system parameters. The performance of outlined approach has been validated with those results available in the literatures and independent MCS.

EFFECT OF UNCERTAIN SYSTEM PROPERTIES ON THERMO-ELASTIC STABILITY OF LAMINATED COMPOSITE PLATES UNDER NONUNIFORM TEMPERATURE DISTRIBUTION

2010 ◽  
Vol 02 (02) ◽  
pp. 399-420 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH
Keyword(s):  
Temperature Distribution ◽  
Order Statistics ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Second Order ◽  
Random System ◽  
Second Order Statistics ◽  
System Properties

Uncertainties in system properties are inherent in all engineering materials. This paper presents the second-order statistics of thermal buckling response of shear deformable laminated composite plate resting on elastic foundation with random system properties under nonuniform tent-like temperature distribution. The mathematical model based on higher-order shear deformation theory [HSDT] is presented. A C0 finite element method in conjunction with first-order perturbation technique is employed to derive the second-order statistics (mean and the standard deviation) of the thermal buckling temperature under nonuniform tent-like temperature distribution. Numerical results have been compared with available results in literatures and independent Monte Carlo simulation.

THERMAL BUCKLING RESPONSE OF LAMINATED COMPOSITE PLATE WITH RANDOM SYSTEM PROPERTIES

2009 ◽  
Vol 06 (03) ◽  
pp. 447-471 ◽  
Author(s):  
ACHCHHE LAL ◽  
B. N. SINGH
Keyword(s):  
Eigenvalue Problems ◽  
Perturbation Technique ◽  
Plate Thickness ◽  
Laminated Composite ◽  
Composite Plates ◽  
Random System ◽  
Second Order Statistics ◽  
Order Deformation ◽  
System Properties ◽  
Random System Properties

This paper deals with second-order statistics of buckling temperature of shear deformable laminated composite plates resting on elastic foundation with random system properties. The temperature field is assumed to be a uniform distribution over the plate surface and through the plate thickness. The material properties are assumed to be independent of temperature. Based on the higher-order deformation theory, C0 finite element in conjunction with mean-centered first-order perturbation technique is proposed and applied to derive the random thermal eigenvalue problems. A detailed parametric study is carried out to highlight the sensitivity of the response. The results are compared with existing and Monte Carlo simulation.

Hygrothermal Buckling Response of Laminated Composite Plates with Random Material Properties: Micro-Mechanical Model

2011 ◽  
Vol 110-116 ◽  
pp. 113-119 ◽  
Author(s):  
Rajesh Kumar ◽  
Dharamveer Singh
Keyword(s):  
Material Properties ◽  
Plate Theory ◽  
Perturbation Technique ◽  
Micromechanical Model ◽  
Laminated Composite ◽  
Composite Plates ◽  
Second Order Statistics ◽  
Operational Life ◽  
Safety And Reliability ◽  
Random Material Properties

The aim of this paper is to find out the randomness in the material properties on the buckling of laminated composite plate needed for the economy, safety and reliability of the structures and components in their operational life especially for sensitive Aerospace Engineering applications in hygrothermal environments. Micromechanical model has been taken for the analysis .The used methodology is a C0 finite element method based on higher-order shear deformation plate theory for deriving the standard eigenvalue problem. A Taylor series based mean-centered first order perturbation technique is used to find out the second order statistics of the hygrothermal buckling loads under different sets of environmental conditions..The numerical results for deterministic parameters are compared and validated with available literature and random parameters with independent Monte Carlo Simulation. The result shows that the plate is significantly affected by the hygrothermal buckling load.

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