Mechanical buckling and free vibration of thick functionally graded plates resting on elastic foundation using the higher order B-spline finite strip method

Meccanica ◽  
2013 ◽  
Vol 49 (4) ◽  
pp. 981-993 ◽  
Author(s):  
Hamid Foroughi ◽  
Mojtaba Azhari
Keyword(s):  
Free Vibration ◽  
Elastic Foundation ◽  
Higher Order ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
B Spline ◽  
Finite Strip ◽  
Finite Strip Method ◽  
Mechanical Buckling ◽  
Spline Finite Strip

Free Vibration and Buckling Analysis of Functionally Graded Plates Resting on Elastic Foundation Using Higher Order Theory

2018 ◽  
Vol 18 (04) ◽  
pp. 1850049 ◽  
Author(s):  
Smita Parida ◽  
Sukesh Chandra Mohanty
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Volume Fraction ◽  
Plate Theory ◽  
Higher Order ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Transverse Displacement ◽  
Pasternak Elastic Foundation

This paper deals with the free vibration and buckling analysis of functionally graded material (FGM) plates, resting on the Winkler–Pasternak elastic foundation. The higher order shear deformation plate theory (HSPT) is adopted for the realistic variation of transverse displacement through the thickness, using the power law distribution to describe the variation of the material properties. Both the effects of shear deformation and rotary inertia are considered. In the present model, the plate is discretised into [Formula: see text] eight noded serendipity quadratic elements with seven nodal degrees of freedom (DOFs). The validation study is carried out by comparing the calculated values with those given in the literature. The effects of various parameters like the Winkler and Pasternak modulus coefficients, volume fraction index, aspect ratio, thickness ratio and different boundary conditions on the behaviour of the FGM plates are studied.

An Investigation on Buckling Behaviour of Functionally Graded Plates Using Finite Strip Method

2012 ◽  
Vol 152-154 ◽  
pp. 1470-1476 ◽  
Author(s):  
Seyyed Amir Mahdi Ghannadpour ◽  
Hamid Reza Ovesy ◽  
Mohammad Nassirnia
Keyword(s):  
Material Properties ◽  
Homogenization Method ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Thickness Direction ◽  
Functionally Graded Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Buckling Behavior

Semi-analytical finite strip method (FSM) for analyzing the buckling behavior of some functionally graded plates is presented in this paper. The plates are assumed to be under three types of mechanical loadings, namely; uniaxial compression, biaxial compression, and biaxial compression and tension. The material properties are assumed to vary in the thickness direction according to the power-law variation in terms of volume fractions of the constituents. Thus, the material properties are estimated from the both Voigt rule of mixtures (VRM) and Mori-Tanaka homogenization method (MTM). Numerical results for a variety of functionally graded plates with different aspect ratio are given and compared.

scholarly journals Derivation of Explicit Augmented Spline Finite Strip Matrix Using Mixed Formulation For Plate Bending

2019 ◽  
Vol 4 (8) ◽  
pp. 99-106
Author(s):  
Abdarrhim Mohammed Ahmed ◽  
Saleh Y. Barony
Keyword(s):  
Variational Formulation ◽  
Mixed Formulation ◽  
Plate Bending ◽  
B Spline ◽  
Finite Strip ◽  
Finite Strip Method ◽  
Good Accordance ◽  
Bending Problems ◽  
Spline Finite Strip ◽  
Future Work

Although Spline finite strip method for the analysis of plate bending based on a mixed variational formulation principle , using a variety B-Spline series as interpolation function  was widely used in researches , the explicit form of the Augmented Matrix  nowhere  given. This leads to some difficulties concerning the verification and understanding the published results. The main objective of this paper is to introduce this matrix in abbreviated size through a detailed review of the mixed formulation for different spline finite strip models. The derived matrix will be helpful subject of research future work  as it is examined by the time, reveals a very good accordance results compared with the analytical and published solutions of different plate bending problems as the reader can verified.  

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