1991 Volume 34 Issue 2 Pages 233-238
An analysis is presented for the free vibration of a spinning polar orthotropic shallow spherical shell. The governing equations and the boundary conditions of the shell are derived by applying Hamilton's principle to the strain and kinetic energies of the shell. The variables in the equations of motion can be expressed as a sum of the quasi-static components and of the dynamic components. The linear equations for the vibration about the deformed state are solved by using the transfer matrix method. Applying the method to a spinning clamped-free shallow spherical shell, the eigenvalues of vibration are calculated numerically, and the effects of the spinning velocity and the orthotropy of the shell on the free vibration are studied.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing