Dynamic stability of axially loaded nonlocal rod on generalized pasternak foundation

Abstract

In this paper, the problem of determining the dynamic stability boundary (critical value of the axial force) of an axially loaded nonlocal rod of Eringen's type is considered. The rod is positioned on a viscoelastic foundation of the Pasternak type. Constitutive equations containing fractional derivatives of real and complex order are used to model the viscoelasticity of the foundation. The influence of various model parameters on the value of critical axial load is examined.