The In-Plane Steady-State Response Of A Ring In Relative Motion To A Constant Load

Ring-like structures are very commonly used in civil, mechanical and aerospace engineering. Typical examples of such structures are components in turbomachinery, compliant gears, conventional pneumatic tires and more recent non-pneumatic tires, to name a few. In this paper, a ring on elastic foundation is considered. The foundation, modelled as...

The equivalent dynamic stiffness of a visco-elastic half-space in interaction with a periodically supported beam under a moving load

A periodically supported beam on a visco-elastic half-space is considered to model the vibration of railway tracks. The viscosity of the half-space is assumed to be of the Kelvin-Voigt type. Making use of the concept of equivalent dynamic stiffness, the reaction of the half-space to the sleepers is replaced by a system of identical spring...

The steady-state response of a rotating ring subjected to a stationary load

The in-plane steady-state response of a rotating ring on elastic foundation subjected to a stationary load is investigated theoretically using a high-order model in the framework of the plane strain assumption. The adopted high-order model accounts for the through-thickness variation of stresses and displacements, as well as the boundary...

Transition radiation in an infinite one-dimensional structure interacting with a moving oscillator—the Green's function method

Transition zones in railway tracks are areas with considerable variation of track properties (e.g., foundation stiffness) which may cause strong amplification of the response, leading to rapid degradation of the track geometry. Two possible indicators of degradation in the supporting structure are identified, namely the wheel-rail contact...

A high-order model for in-plane vibrations of rotating rings on elastic foundation

A new high-order model for in-plane vibrations of rotating rings is developed in this paper. The inner surface of the ring is connected to an immovable axis through an elastic foundation (distributed springs), whereas the outer surface is traction free. The developed model enables the dynamic analysis of the rings on stiff elastic foundation...

In-plane vibration of rotating rings using a high order theory

In-plane dynamics of rotating rings on elastic foundation is a topic of continuous research, especially in the field of tire dynamics. When the inner surface of a ring is connected to a stiff foundation, the through-thickness variation of radial and shear stress needs to be accounted for. This effect is often overlooked in the ring models...

Dynamics of rotating rings using a higher order theory

Stability of in-plane vibration of an elastically supported rotating thin ring, revisited

Instability of an oscillator moving along a thin ring on a viscoelastic foundation

The stability of an oscillator uniformly moving along a thin ring that is connected to an immovable axis by a distributed viscoelastic foundation has been studied. The dynamic reaction of the ring to the oscillator is represented by a frequency and velocity dependent equivalent stiffness. The characteristic equation for the vibration of the...

On the existence of a critical speed of a rotating ring under a stationary point load

A rotating ring in contact with a stationary load as a model for a flexible train wheel

A load moving on a center-fixed ring and the reciprocal problem, namely a rotating ring subjected to a moving load have been used in several works to study the tire dynamics. In contrast, very few papers exist in which the ring model has been used in order to study the dynamics of a train wheel. In this paper, a thin ring model is introduced to...