A new technique is proposed for determining the response of multi-degree-of-freedom
nonlinear systems with singular parameter matrices subject to combined deterministic and …

The averaged equations of integrable and nonresonant Hamiltonian systems of multi-
degree-of-freedom subject to light damping and real noise excitations of small intensities are …

Based on the quasi-zero stiffness vibration isolation (QZS-VI) system, nonlinear transition
dynamics have been investigated coupled with both time-delayed displacement and velocity …

An n degree-of-freedom (DOF) non-integrable Hamiltonian system subject to light damping
and weak stochastic excitation is called quasi-non-integrable Hamiltonian system. In the …

Physical and engineering systems are often subjected to combined harmonic and random
excitations. The random excitation is often modeled as Gaussian white noise for …

A stochastic averaging method for single degree of freedom (SDOF) strongly nonlinear
system under combined harmonic and Poisson white noise excitations is proposed by using …

The objective of the current paper is to study and extend the exponential-polynomial-closure
(EPC) method in analyzing the non-stationary response probabilistic solutions of nonlinear …

In this study, the exponential-polynomial-closure (EPC) method is applied to determine and
study the non-stationary probability density function (PDF) of the nonlinear system …

In this paper, the moment Lyapunov exponent and stochastic stability of binary airfoil under
combined harmonic and Gaussian white noise excitation are investigated. Via the singular …

Dynamics of a nonlinear second order system with a stochastically varying mass is
considered in the article. The system is under an external time-harmonic loading, which is …