The present paper deals with the study of the amplitude of the steady-state vibrations in a right finite cylinder made of an isotropic Kelvin-Voigt material. Some exponential decay estimates, similar to those of Saint-Venant type, are obtained for appropriate cross-sectional area measures associated with the amplitude of the steady-state vibrations. It is proved that due to dissipative effects, the estimates in question hold for every value of the

In this paper we study the deformation of right circular cylinders filled by a linear transversely isotropic porous material. We construct a solution of the relaxed Saint–Venant’s problem using the results established for anisotropic porous cylinders. Firstly, we decompose the relaxed Saint–Venant’s problem into two problems: extension–bending–torsion problem and flexure problem. Then, for each of them we give the exact expressions of