Davies Gilbert's work on the catenary is notable on two counts. First, it influenced Thomas Telford in formulating his final design for the Menai Strait suspension bridge (1826); and second, it established for the first time the form of the 'catenary of equal strength'. The classical catenary is a uniform flexible chain or cable hanging freely under gravity between supports. The 'catenary of eq...

The catenary function has a well-known role in determining the shape of chains and cables supported at their ends under the force of gravity. This enables design using a specific static equilibrium over space. Its reflected version, the catenary arch, allows the construction of bridges and arches exploiting the dual equilibrium property under uniform compression. In this paper, we emphasize a f...

The catenary is the curve that a free-hanging chain assumes under its own weight, and thought to be a "true mathematical and mechanical form" in architecture by Robert Hooke in the 1670s, with nevertheless no significant phenomena observed in optics. We show that the optical catenary can serve as a unique building block of metasurfaces to produce continuous and linear phase shift covering [0, 2...

Railway traction model is a complex mix of electrical and mechanical parameters. Pantograph acts as an active link between the catenary and electric drive used for driving the electric loco. It collects the current from the catenary and supplies it to loco transformer for feeding to the drive. Stable current collection is one of the foremost requirements for the efficient and reliable operation...

High-speed railway catenaries are vital components in traction power supply systems. To ensure stable contact between the pantograph and catenary, droppers positioned messenger wire line. The failure of one or more will affect catenary operation railway. In this paper, we modify You Only Look Once version five (YOLOv5) model several ways propose a method for improving identification dropper sta...

Changes in shape of the mandibular dental arch were demonstrated in a developmentally representative sample of human embryos. Each reconstructed arch was described in terms of a conformance to a reference geometric curve; ie, catenary. Cross-sectional sample trends showed that the initial dental lamina is anteroposteriorly flattened during the sixth week and begins a progressive elongation and ...

This paper proposes a thermal study of the catenary/pantograph interface for a train in motion. A 2.5D complex model of the pantograph strip has been defined and created by a coupling between a 1D and a 2D model. Experimental and simulation results are presented and with a comparison allow validating the 2.5D model. Some physical phenomena are described and presented with the help of the model ...

The aim of this paper is to develop a Field Programmable Gate Array (FPGA)-based online condition monitoring system for sensor network applications in railway catenary systems. The system is designed to perform in IP network-based wireless environments and is capable of storing data in a live wire state at 25 kV. A real-time controller, chassis (including a reconfigurable FPGA), and several I/O...

A filament of an incompressible highly viscous fluid that is supported at its ends sags under the influence of gravity. Its instantaneous shape resembles that of a catenary, but evolves with time. At short times, the shape is dominated by bending deformations. At intermediate times, the effects of stretching become dominant everywhere except near the clamping boundaries where bending boundary l...