Parametric instability of functionally graded beams with an open edge crack under axial pulsating excitation

2011 ◽  
Vol 93 (7) ◽  
pp. 1801-1808 ◽  
Author(s):  
Ting Yan ◽  
Sritawat Kitipornchai ◽  
Jie Yang
Keyword(s):  
Edge Crack ◽  
Parametric Instability ◽  
Functionally Graded ◽  
Open Edge

Parametric Instability of Functionally Graded Timoshenko Beams with an Open Edge Crack

2010 ◽  
Author(s):  
Jie Yang ◽  
Sritawat Kitipornchai ◽  
Yang Xiang ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
...  
Keyword(s):  
Edge Crack ◽  
Parametric Instability ◽  
Functionally Graded ◽  
Timoshenko Beams ◽  
Open Edge

Nonlinear bending of elastically restrained functionally graded graphene nanoplatelet reinforced beams with an open edge crack

2020 ◽  
Vol 156 ◽  
pp. 106972 ◽  
Author(s):  
Meifung Tam ◽  
Zhicheng Yang ◽  
Shaoyu Zhao ◽  
Henin Zhang ◽  
Yingyan Zhang ◽  
...  
Keyword(s):  
Edge Crack ◽  
Functionally Graded ◽  
Nonlinear Bending ◽  
Graphene Nanoplatelet ◽  
Reinforced Beams ◽  
Elastically Restrained ◽  
Open Edge

scholarly journals Vibration and Buckling Characteristics of Functionally Graded Graphene Nanoplatelets Reinforced Composite Beams with Open Edge Cracks

Materials ◽  
2019 ◽  
Vol 12 (9) ◽  
pp. 1412 ◽  
Author(s):  
Meifung Tam ◽  
Zhicheng Yang ◽  
Shaoyu Zhao ◽  
Jie Yang
Keyword(s):  
Fundamental Frequency ◽  
Slenderness Ratio ◽  
Weight Fraction ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Reinforced Composite ◽  
Edge Cracks ◽  
Open Edge

This paper investigates the free vibration and compressive buckling characteristics of functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) beams containing open edge cracks by using the finite element method. The beam is a multilayer structure where the weight fraction of graphene nanoplatelets (GPLs) remains constant in each layer but varies along the thickness direction. The effective Young’s modulus of each GPLRC layer is determined by the modified Halpin-Tsai micromechanics model while its Poisson’s ratio and mass density are predicted according to the rule of mixture. The effects of GPLs distribution pattern, weight fraction, geometry, crack depth ratio (CDR), slenderness ratio as well as boundary conditions on the fundamental frequency and critical buckling load of the FG-GPLRC beam are studied in detail. It was found that distributing more GPLs on the top and bottom surfaces of the cracked FG-GPLRC beam provides the best reinforcing effect for improved vibrational and buckling performance. The fundamental frequency and critical buckling load are also considerably affected by the geometry and dimension of GPL nanofillers.

Nonlinear Parametric Instability of Functionally Graded Rectangular Plates in Thermal Environments

2012 ◽  
Author(s):  
F. Alijani ◽  
M. Amabili
Keyword(s):  
Temperature Variation ◽  
Volume Fraction ◽  
Parametric Instability ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Lagrange Equations ◽  
Thermal Environments ◽  
Varying Coefficients ◽  
Time Varying Coefficients

Geometrically nonlinear parametric instability of functionally graded (FG) rectangular plates in thermal environments is investigated via multi-modal energy approach. Nonlinear higher-order shear deformation theory is used and the nonlinear response to in-plane static and harmonic excitation in the frequency neighbourhood of twice the fundamental frequency is investigated. The boundary conditions are assumed to be simply supported movable. The plate displacements and rotations are expanded in terms of double series trigonometric functions and Lagrange equations are used to reduce the energy functional to a system of infinite nonlinear ordinary differential equations with time varying coefficients, and quadratic and cubic nonlinearities. In order to obtain the complete dynamic scenario, numerical analyses are carried out by means of pseudo arc length continuation and collocation technique to obtain frequency-amplitude and force-amplitude relations in the presence of temperature variation in the thickness direction. The effect of volume fraction exponent as well as temperature variation on the on-set of instability for both static and periodic in-plane excitation are fully discussed and the post-critical nonlinear responses are obtained.

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