Vibration characteristics of FGM circular cylindrical shells using wave propagation approach

2009 ◽  
Vol 208 (3-4) ◽  
pp. 237-248 ◽  
Author(s):  
Zafar Iqbal ◽  
Muhammad N. Naeem ◽  
Nazra Sultana
2009 ◽  
Vol 30 (11) ◽  
pp. 1393-1404 ◽  
Author(s):  
Zafar Iqbal ◽  
Muhammad Nawaz Naeem ◽  
Nazra Sultana ◽  
Shahid Hussain Arshad ◽  
Abdul Ghafar Shah

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Muhmmad Nawaz Naeem ◽  
Shazia Kanwal ◽  
Abdul Ghafar Shah ◽  
Shahid Hussain Arshad ◽  
Tahir Mahmood

The vibration characteristics of ring stiffened cylindrical shells are analyzed. These shells are assumed to be structured from functionally graded materials (FGM) and are stiffened with isotropic rings. The problem is formulated by coupling the expressions for strain and kinetic energies of a circular cylindrical shell with those for rings. The Lagrangian function is framed by taking difference of strain and kinetic energies. The Rayleigh-Ritz approach is employed to obtain shell dynamical equations. The axial model dependence is approximated by characteristic beam functions that satisfy the boundary conditions. The validity and efficiency of the present technique are verified by comparisons of present results with the previous ones determined by other researchers.


2003 ◽  
Vol 54 (4) ◽  
pp. 429-442 ◽  
Author(s):  
M. Ganapathi ◽  
B. P. Patel ◽  
S. S. Gupta ◽  
K. N. Khatri ◽  
C. T. Sambandam ◽  
...  

2012 ◽  
Vol 223 (8) ◽  
pp. 1789-1807 ◽  
Author(s):  
S. Papargyri-Beskou ◽  
S. V. Tsinopoulos ◽  
D. E. Beskos

Wave Motion ◽  
1996 ◽  
Vol 23 (4) ◽  
pp. 339-352 ◽  
Author(s):  
Anindya Ghoshal ◽  
Michael L. Accorsi ◽  
Mark S. Bennett

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