Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells
Author(s) -
Muhmmad Nawaz Naeem,
Shazia Kanwal,
Abdul Ghafar Shah,
Shahid Hussain Arshad,
Tahir Mahmood
Publication year - 2012
Publication title -
isrn mechanical engineering
Language(s) - English
Resource type - Journals
eISSN - 2090-5130
pISSN - 2090-5122
DOI - 10.5402/2012/232498
Subject(s) - isotropy , shell (structure) , vibration , boundary value problem , ring (chemistry) , beam (structure) , structural engineering , rayleigh–ritz method , materials science , mathematical analysis , mechanics , mathematics , physics , composite material , engineering , optics , acoustics , chemistry , organic chemistry
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.
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