Large amplitude free vibration of shear deformable laminated composite annular sector plates by a sector p-element

Free vibration analysis of laminated composite and functionally graded sector plates with general boundary conditions

“…The kinetic energy T of functionally graded sector plate is expressed as: (15) where I 0 , I 1 and I 2 are the inertia terms, which are defined by for laminated sector plate: …”

“…(14)(15)(16)(17)(18)(19) into Eq. (13) and performing the variational operation with respect to Fourier coefficients, the eigenvalue equation can be obtained in the matrix form:…”

“…A few of investigations concerning vibration of laminated composite sector plates have been carried out [13][14][15][16][17][18][19]. Srinivasan and Thiruvenkatachari [13] analyzed free vibration of laminated annular sector plates with clamped boundary condition in which the in-plane 3 and rotary inertia are considered.…”

A modified Fourier solution for vibration analysis of moderately thick laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports

“…To eliminate this deficiency, the FSDT was developed then, which assumes constant states of the transverse shear stresses through the plate thickness. There is also a great deal of research on the plate structure on the basis of FSDTs [11][12][13][14][15][16][17][18][19][20][21][22][23]. Generally, the shear correction factor is used to adjust the transverse shear stiffness as a constant, which differs from the fact that the shear correction factor is determined by the material properties and boundary conditions.…”

“…Sharma et al [18] presented a simple analytical formulation to deal with the eigenvalue problem of buckling and free vibration analysis of shear deformable laminated sector plates which are made up of cylindrically orthotropic layers. Houmat [19] performed large amplitude free vibration of shear deformable laminated composite annular sector plates for clamped boundary condition by finite element method. Andakhshideh et al [20] extended the generalized differential quadrature method for nonlinear static analysis of laminated sector plates with any combination of clamped, simply supported and free edges.…”