An approximate analytical technique is developed for determining the non-stationary
response amplitude probability density function (PDF) of nonlinear/hysteretic oscillators …

In this paper, an approximate analytical technique is developed for determining the non-
stationary response amplitude probability density function (PDF) of nonlinear/hysteretic …

Stochastic flexural vibrations of small-scale Bernoulli–Euler beams with external damping
are investigated by stress-driven nonlocal mechanics. Damping effects are simulated …

In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is
shown that if different time scales for the volumetric and deviatoric components are …

A mechanically-based nonlocal Timoshenko beam model, recently proposed by the authors,
hinges on the assumption that nonlocal effects can be modeled as elastic long-range …

The Galerkin method is widely applied for finding approximate solutions to vibration
problems of beam and plate structures and for estimating their dynamic behavior. Most …

This multi-volume handbook is the most up-to-date and comprehensive reference work in
the field of fractional calculus and its numerous applications. This fifth volume collects …

This paper deals with the response determination of a visco‐elastic Timoshenko beam
under static loading condition and taking into account fractional calculus. In particular, the …

In fractional viscoelasticity the stress–strain relation is a differential equation with non-
integer operators (derivative or integral). Such constitutive law is able to describe the …

The statistical characterization of the oscillator response with non-integer order damping
under Gaussian noise represents an important challenge in the modern stochastic …