About Character of Natural Vibrations of Orthotropic Shells in the Presence of Viscous Resistance

Abstract

Basing on the equations of three-dimensional problem of elasticity theory, asymptotic solutions of non-classical boundary value problems of natural vibrations of orthotropic shells in the presence of viscous internal resistance are obtained, when the top front surface of the shell is given with two choices of spatial boundary conditions, and a displacement vector is given at the bottom surface. The characteristic equations for the determination of natural frequencies are derived. Functions of boundary layer type and characteristic equations for detecting the speed of boundary layer vibrations damping from the edge surface into the shell are obtained.

Keywords

• asymptotic method
• natural frequencies
• viscous resistance
• boundary layer