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

Both time-and frequency-domain solution techniques are developed for determining the
response of linear multi-degree-of-freedom systems exhibiting singular parameter matrices …

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 …

A new method for the analysis of the dynamic properties of structures with viscoelastic (VE)
dampers is proposed in this paper. For the first time, the proposed method enables analyses …

This paper presents a novel method for obtaining analytical solutions for the nonstationary
response of multidegree-of-freedom (MDOF) systems endowed with half fractional derivative …

A statistical linearization method is proposed for determining the response moment of multi-
degree-of-freedom (MDOF) nonlinear systems, endowed with fractional elements and …

A memory-free formulation is proposed for determining the non-stationary stochastic
response of fractional single-degree-of-freedom nonlinear/hysteretic dynamic systems …

In this paper, a technique is developed for determining the nonstationary response statistics
of linear oscillators endowed with fractional derivative elements. Notably, fractional …

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

While studying fractional oscillators to the excitation as an evolutionary stochastic process,
this paper develops a novel pole-residue method to compute closed-form solutions for the …