A new first-order mixed beam element for static bending analysis of functionally graded graphene oxide powder-reinforced composite beams

Structures ◽  
2022 ◽  
Vol 36 ◽  
pp. 463-472
Author(s):  
Pham Van Vinh ◽  
Le Truong Son
Keyword(s):  
Graphene Oxide ◽  
Beam Element ◽  
Composite Beams ◽  
Functionally Graded ◽  
Oxide Powder ◽  
Bending Analysis ◽  
First Order ◽  
Reinforced Composite ◽  
Mixed Beam

Nonlinear bending analysis of functionally graded CNT-reinforced composite Mindlin polymeric temperature-dependent plate resting on orthotropic elastomeric medium using GDQM

2014 ◽  
Vol 79 (2) ◽  
pp. 1425-1441 ◽  
Author(s):  
Mohammad Mehdi Heydari ◽  
Ali Hafizi Bidgoli ◽  
Hamid Reza Golshani ◽  
Gholamhossein Beygipoor ◽  
Afshin Davoodi
Keyword(s):  
Functionally Graded ◽  
Temperature Dependent ◽  
Nonlinear Bending ◽  
Bending Analysis ◽  
Reinforced Composite

scholarly journals FREE VIBRATION OF TAPERED FUNCTIONALLY GRADED CARBON NANOTUBE-REINFORCED COMPOSITE BEAMS USING A HIERARCHICAL BEAM ELEMENT

2020 ◽  
Vol 57 (6A) ◽  
pp. 107
Author(s):  
Trinh Thi Hien
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Longitudinal Direction ◽  
Beam Element ◽  
Variable Coefficients ◽  
Functionally Graded ◽  
Published Data ◽  
Reinforced Composite

Free vibration of tapered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams is investigated. The beams with four types of carbon nanotube distribution in the thickness, namely the uniform (UD-CNT), X-type (FGX-CNT), A-type (FGA-CNT) and O-type (FGO-CNT), are assumed to be linearly tapered in longitudinal direction by three different taper cases. Based on the first-order shear deformation theory, equations of motion with variable coefficients are derived from Hamilton’s principle. Using hierarchical functions to interpolate the displacement field, a two-node beam element with nine degrees of freedom is formulated and employed to compute frequencies of the beams. The accuracy of the derived formulation is confirmed by comparing frequencies obtained in the present work with the published data. The effects of the total CNT volume fraction, CNT distribution type, taper cases, taper ratio, aspect ratio, boundary conditions, etc., on the vibration characteristics of the beams are examined and discussed.

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