Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type

Abstract

© 2015, Springer Science+Business Media Dordrecht. We consider vibrations of an elastic rod loaded by axial force of constant intensity and positioned on a viscoelastic foundation of complex order fractional derivative type. The solution to the problem is obtained by the separation of variables method. The critical value of axial force, guaranteeing stability, is determined.