The generalized fractional derivative is a useful tool for describing the mechanical property
of viscoelastic dampers in vehicles. However, the complex integral form of the generalized …

The stochastic response of a fractional-order hybrid vibration energy harvester is
investigated in this paper. Equivalent system can be derived by the variable transformation …

Resonance and bifurcation are prominent and significant features observed in various
nonlinear systems, often leading to catastrophic failure in practical engineering. This paper …

The response of vibro-impact oscillators under random excitations has been studied using
various techniques in the last three decades. However, the results available were smooth …

The stationary/nonstationary random vibration responses and dynamic reliability analyses of
thin plate structures coupling geometrical nonlinearity and multisource randomness in both …

An extended path integration method is designed for obtaining the stochastic response of
systems with multiple non-smooth events. The concept of the ordered non-smooth events set …

The stability and bifurcation of the single-degree-of-freedom linear vibro-impact system with
fractional-order derivative are investigated, where the one-sided impact model under …

Abstract Changes in the parameters of dynamical systems can cause the state of the system
to shift between different qualitative regimes. These shifts, known as bifurcations, are critical …

Nonstationary random vibration problems of nonlinear fractional systems are challenging
and drawing increasing attention. This study presents an efficient numerical method for the …

As a kind of good damping material, viscoelastic material is widely used in machinery, civil
engineering, and other fields. In this paper, the viscoelasticity of the system is described by …