Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory

摘要: A two-dimensional (2D) higher-order deformation theory is presented for vibration and buckling problems of circular cylindrical shells made functionally graded materials (FGMs). The modulus elasticity (FG) assumed to vary according a power law distribution in terms the volume fractions constituents. By using method series expansion continuous displacement components, set fundamental governing equations which can take into account effects both transverse shear normal deformations, rotatory inertia derived through Hamilton’s principle. Several sets truncated M  th order approximate theories are applied solve eigenvalue simply supported FG shells. In assure accuracy present theory, convergence properties natural frequency mode r=s=1r=s=1 examined detail. comparison frequencies isotropic also with previously published results. Critical stresses subjected axial stress obtained relation between presented. internal external works calculated compared prove numerical solutions. Modal by integrating three-dimensional (3D) motion thickness direction satisfying boundary conditions at outer inner surfaces. 2D has an advantage analysis