Not only is the knowledge of natural frequencies and modes of structures important from a design viewpoint to avoid resonance condition, but it is also the foundation for forced response calculations. And the increasing use of thick shells in industry...
Not only is the knowledge of natural frequencies and modes of structures important from a design viewpoint to avoid resonance condition, but it is also the foundation for forced response calculations. And the increasing use of thick shells in industry has necessitated efficient theoretical analysis particularly in dealing with the effect of transverse shear deformation.
The present paper is concerned with the formulation of suitable stress-strain relations and the basic equilibrium equations of shell structures, which consider the effect of tranverse shear deformation and rotatory inertia, are deduced by application of Hamilton's principle. Also, these equations are applied to circular cylindrical shell and the results are compared with the simplified classical theories.