Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method

2004 ◽  
Vol 276 (3-5) ◽  
pp. 997-1017 ◽  
Author(s):  
K.M. Liew ◽  
J. Wang ◽  
T.Y. Ng ◽  
M.J. Tan
Keyword(s):  
Free Vibration ◽  
Meshfree Method ◽  
Shear Deformable ◽  
Shear Deformable Plates

Free vibration behavior of spinning shear-deformable plates composedof composite materials

AIAA Journal ◽  
1990 ◽  
Vol 28 (11) ◽  
pp. 1962-1970 ◽  
Author(s):  
R. Bhumbla ◽  
J. B. Kosmatka ◽  
J. N. Reddy
Keyword(s):  
Composite Materials ◽  
Free Vibration ◽  
Vibration Behavior ◽  
Shear Deformable ◽  
Shear Deformable Plates

Microstructural Size Dependency in Nonlinear Lateral Stability of Random Reinforced Microshells via Meshfree-Based Applied Mathematical Modeling

2021 ◽  
pp. 2150164
Author(s):  
Jie-Hua Sun ◽  
Zhi-Dong Zhou ◽  
Saeid Sahmani ◽  
Babak Safaei
Keyword(s):  
Research Work ◽  
Meshfree Method ◽  
Resin Matrix ◽  
Small Scale ◽  
Lateral Stability ◽  
Computational Framework ◽  
Probabilistic Technique ◽  
Prime Objective ◽  
Shear Deformable

The prime objective of this research work is to develop an efficient small scale-dependent computational framework incorporating microstructural tensors of dilatation gradient, rotation gradient, and deviatoric stretch gradient to analyze nonlinear lateral stability of cylindrical microshells. The numerical strategy is established based upon a mixed formation of the third-order shear deformable shell model and modified strain gradient continuum mechanics. The graphene nanoplatelet reinforcements are assumed to be randomly dispersed in a checkerboard scheme within the resin matrix. Accordingly, to extract the effective material properties, the Monte Carlo simulation together with a probabilistic technique are employed. The numerical solution for the microstructural-dependent nonlinear problem is carried out via the moving Kriging meshfree method having the capability to accommodate accurately the essential boundary conditions using proper moving Kriging shape function. It is represented that the role of the stiffening characters related to the effect of microstructural dilatation gradient, rotation gradient, and deviatoric stretch reduces continuously by going to deeper territory of the load-deflection stability path. Moreover, it is indicated that among various microstructural gradient tensors, the stiffening character of the rotation gradient is higher than deviatoric stretch gradient, and the stiffening character of the latter is more considerable than the dilatation gradient tensor.

Free Vibration of Moderately Thick Conical Shells Using a Higher Order Shear Deformable Theory

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
R. D. Firouz-Abadi ◽  
M. Rahmanian ◽  
M. Amabili
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Equations Of Motion ◽  
Free Vibration Analysis ◽  
Higher Order ◽  
Arbitrary Boundary ◽  
Conical Shells ◽  
First Time ◽  
Circumferential Wave ◽  
Shear Deformable

The present study considers the free vibration analysis of moderately thick conical shells based on the Novozhilov theory. The higher order governing equations of motion and the associate boundary conditions are obtained for the first time. Using the Frobenius method, exact base solutions are obtained in the form of power series via general recursive relations which can be applied for any arbitrary boundary conditions. The obtained results are compared with the literature and very good agreement (up to 4%) is achieved. A comprehensive parametric study is performed to provide an insight into the variation of the natural frequencies with respect to thickness, semivertex angle, circumferential wave numbers for clamped (C), and simply supported (SS) boundary conditions.

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