New analytical solutions for vibrations of shallow shells

EISENBERGER, MOSHE; GODOY, LUIS A.

Corvara in Badia

Simposio; 12 Int Symposium on Vibrations of Continuous Systems; 2019

Politecnico do Torino

Three new analytical solutions for vibrations of shallow shells with two principal constant curvatures are presented in this work. The new solutions address different cases of in-plane and out-of-plane boundary conditions, and provide an interesting insight into the dynamics of such shells. The formulation is here applied to cylindrical, spherical, elliptical paraboloidal, and hyperbolic paraboloidal shallow shells.