BAND LOADING OF A THICK-WALLED TOROIDAL SHELL

An analytical solution is presented to the elastostatic problem of the band loading of a thick-walled toroidal shell. The solution is formul ated using the displacement-based toroidal elasticity theory. The gove rning three-dimensional equations are solved approximately by a pertur bation method. The loading and the solution for displacement and stres s are given as Fourier series. An example, dealing with a complete thi ck-walled toroidal shell subjected to four band loads, is considered i n detail. Results obtained using the analytical solution are compared with results from the finite element method.