In this paper, the widely known path integral method, derived from the application of the
Chapman–Kolmogorov equation, is described in details and discussed with reference to the …

This paper draws attention to the issue of the vibration absorption of nonlinear mechanical
system coupled to nonlinear energy sink (NES) under the impact of the narrow band …

This paper proposes an efficient approach for estimating reliably the second order statistics
of the response of continua excited by combinations of harmonic and random loads. The …

A novel approximate technique based on Wiener path integrals (WPIs) is developed for
determining, in a computationally efficient manner, the non-stationary joint response …

An advanced procedure is introduced in this study for determining the transient probability
density function (PDF) of the stochastic oscillator with various nonlinearity under combined …

The probability structure of the response and energy harvested from a nonlinear oscillator
subjected to white noise excitation is investigated by solution of the corresponding Fokker …

The Duffing oscillator under combined periodic and random excitations is investigated by a
simple technique. The system response is separated into the deterministic and random parts …

A statistical linearization approach is proposed for determining the response of the single-
degree-of-freedom of the classical Bouc–Wen hysteretic system subjected to excitation both …

The dynamics of a nonlinear single degree freedom oscillator on a moving belt subjected to
combined harmonic and random excitations is numerically investigated. The dynamics is …

Duffing systems excited by harmonic excitations and subjected to noise additions are
considered, and it is examined whether the noise addition can be used to steer the response …