In this paper, research on transverse vibrations of axially moving strings and their control is
thoroughly reviewed. In the last few decades, there have been extensive studies on analysis …

The dynamic response of an axially accelerating, elastic, tensioned beam is investigated.
The time-dependent velocity is assumed to vary harmonically about a constant mean …

Non-linear vibrations of an axially moving beam are investigated. The non-linearity is
introduced by including stretching effect of the beam. The beam is moving with a time …

Principal parametric resonance in transverse vibration is investigated for viscoelastic beams
moving with axial pulsating speed. A nonlinear partial-differential equation governing the …

The sub-and super-critical dynamics of an axially moving beam subjected to a transverse
harmonic excitation force is examined for the cases where the system is tuned to a three-to …

The nonlinear dynamics for forced motions of an axially moving plate is numerically
investigated using Von Kármán plate theory and retaining in-plane displacements and …

The forced non-linear vibrations of an axially moving beam fitted with an intra-span spring-
support are investigated numerically in this paper. The equation of motion is obtained via …

Stability in transverse parametric vibration of axially accelerating viscoelastic beams is
investigated. The governing equation is derived from Newton's second law, the Kelvin …

An axially moving visco-elastic Rayleigh beam with cubic non-linearity is considered, and
the governing partial-differential equation of motion for large amplitude vibration is derived …

This paper investigates bifurcation and chaos of an axially accelerating viscoelastic beam.
The Kelvin–Voigt model is adopted to constitute the material of the beam. Lagrangian strain …