On the Spatial Behavior of the Steady-State Vibrations in Thermoviscoelastic Porous Materials

Abstract

This paper reviews the spatial behavior of the amplitude of the steady-state vibrations in an anisotropic and homogeneous thermoviscoelastic porous beam. Here, we take into account the effects of the viscoelastic and thermal dissipation energies upon the corresponding harmonic vibrations in a right cylinder made of an anisotropic thermoviscoelastic porous material. In fact, we prove that the positiveness of the viscoelastic and thermal dissipation energies is sufficient for characterizing the spatial decay and growth properties of the harmonic vibrations in a cylinder, without any limiting restriction upon their frequencies.

Keywords:

• Growth and decay spatial estimates
• Steady-state vibrations
• Thermoviscoelastic porous bodies