During the past few decades, several significant progresses have been made in exploring
complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil …

Quasi-periodic responses composed of multiple base frequencies widely exist in science
and engineering problems. The multiple harmonic balance (MHB) method is one of the most …

This paper presents a new semi-analytical method that combines the time-domain minimum
residual method with energy balance for nonlinear conservative systems. Due to work done …

This paper proposes a describing function method with pointwise balancing in time domain
(DFPB), to solve periodic responses semi-analytically of self-excited systems with non …

In this paper, a parameter identification method merged with the precise integration method
and the predictor–corrector strategy is proposed to identify the parameters of a nonsmooth …

This paper proposes a new semi-analytical approach, called as describing function method
with pointwise balancing (DFPB), to solve quasi-periodic (QP) responses of nonlinear …

In this study, we investigate numerical methods for non-smooth differential equations
(NSDEs), which are pivotal in simulating abrupt phenomena in natural and engineering …