Recently, the coupled dynamical simulation of pantograph and catenary in high speed trains has found much interest. The equations of motion form a partial diierential-algebraic equation (PDAE) that combines a partial diierential equation (PDE) for the catenary and a diierential-algebraic equation (DAE) for the pantograph. In the present paper we discuss the relation of this PDAE model to curren...

In this paper a user-friendly environment for the representation of the dynamic results on the pantograph-catenary interactions is presented. This environment consists of an interactive interface for the representation of graphics and another for the representation of video. By means of the first interface for the representation of graphics, the user can interact with the different graphic repr...

This paper presents a method for modeling and analysis of cablestayed bridges under the action of moving vehicles. Accurate and efficient finite elements are used for modeling the bridge structure. A beam element is adopted for modeling the girder and the pylons. Whereas, a two-node catenary cable element derived using exact analytical expressions for the elastic catenary, is adopted for modeli...

Thus far, the main cables have been referred to as catenary cables. For a cable to assume the shape of a catenary, the load on the cable must be uniformly distributed. Under the spaced suspender loading, the shape is closer to a parabola. The difference between the two is very slight. Since the equation for a parabola is easier to work with, most engineers use the parabola equation in the desig...

In this paper, the authors present a mathematical and engineering model to optimally calculate dynamic equation on pantograph–catenary interaction when considering rigid catenary with an overlapping span. The starts from well-known methods adapted special features of catenary. As result, algorithm for integration based explicit is provided. Moreover, algorithm, reliable, efficient, user-friendl...

Temperature-depth recorders (TDRs) were attached to pelagic longline gear in the Hawaii-based commercial fishery to obtain actual fishing depths and to test the accuracy of catenary algorithms for predicting fishing depths. Swordfish gear was set shallow by typically deploying four hooks between successive floats. The observed depth of the settled deepest hook had a median value of 60 m for 333...

The purpose of this thesis is to present two ways of determining the position of underwater tethers, mathematical tether modeling and sensor system measurement. Though the ideal solution may be a combination of both modeling and measurements, this thesis only covers modeling and measurements individually. The tether model is designed to be placed in a virtual environment (VE) simulator in order...