The Walsh series method for free vibration analysis of functionally graded cylindrical shells

2018 ◽  
Vol 206 ◽  
pp. 853-864 ◽  
Author(s):  
Jianyu Fan ◽  
Jin Huang ◽  
Zhang Juxiang ◽  
Zhang Jie
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Walsh Series ◽  
Series Method

Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite conical/cylindrical shells and annular plates using a numerical approach

2016 ◽  
Vol 24 (6) ◽  
pp. 1123-1144 ◽  
Author(s):  
R Ansari ◽  
J Torabi ◽  
M Faghih Shojaei
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Free Vibration Analysis ◽  
Energy Functional ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Annular Plates ◽  
Reinforced Composite

Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite (FG-CNTRC) conical, cylindrical shells and annular plates is carried out using the variational differential quadrature (VDQ) method. Pasternak-type elastic foundation is taken into consideration. It is assumed that the functionally graded nanocomposite materials have the continuous material properties defined according to extended rule of mixture. Based on the first-order shear deformation theory, the energy functional of the structure is calculated. Applying the generalized differential quadrature method and periodic differential operators in axial and circumferential directions, respectively, the discretized form of the energy functional is derived. Based on Hamilton’s principle and using the VDQ method, the reduced forms of mass and stiffness matrices are obtained. The comparison and convergence studies of the present numerical method are first performed and then various numerical results are presented. It is found that the volume fractions and functionally grading of carbon nanotubes play important roles in the vibrational characteristics of FG-CNTRC cylindrical, conical shells and annular plates.

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