Natural Vibration Analisis of Clamped Annular Isotropic Sector Ship Hull Plate Using Ekm

The natural vibrations of clamped annular isotropic sector plates are analyzed using the Extended Kantorovich Method (EKM). A conformal mapping is used to transform a sector with identified geometry to a rectangular plate which the solution is available in literature and solved by Dalaei and Kerr [1] using EKM. The developed iterative scheme converges very rapidly to the final result. The obtained natural frequencies are evaluated for annular sector plate and the obtained results are compared with those published by Leissa [6] and a simulation done by the finite element method (FEM). The agreement found to be very close. As there are no exact analytical solutions for clamped annular sector plates, the generated method for the natural modes, and the corresponding natural frequencies, are very suitable for use in engineering analysis.