Results 111 to 120 of about 8,311 (165)

Unchained Catenaries

open access: yesThe College Mathematics Journal
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Catenary Modules

Acta Mathematica Hungarica, 1999
Let \(A\) be a commutative ring with 1. \(A\) is called catenary if for every prime ideals \(p\subset p'\), there exists a saturated chain of prime ideals (i.e., a chain which cannot be refined with prime ideals) starting from \(p\) and ending at \(p'\), and each such chain has the same finite length. A proper submodule \(K\) of the right \(A\)-module \
Namazi, S., Sharif, H.
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Introduction of variability into pantograph–catenary dynamic simulations [PDF]

open access: yesVehicle System Dynamics, 2014
Currently, pantograph-catenary dynamic simulations are mainly based on deterministic approaches. However, the contact force between catenary and pantograph depends on many key parameters that are not always quantified precisely and can vary in time and ...
Etienne Balmes
exaly   +2 more sources

The elastic catenary

International Journal of Mechanical Sciences, 1982
Abstract A heavy, elastic cable is supported at both ends. The problem is governed by the distance between the supports and the parameter K which represents the relative importance of density and length to flexural rigidity. The heavy elastica equations are solved both numerically and by analytic approximations.
Wang, C. Y., Watson, L. T.
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The viscous catenary

Journal of Fluid Mechanics, 2003
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.
Teichman, J., Mahadevan, L.
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The Catenary as Roulette

The College Mathematics Journal, 2012
The focus of a parabola rolling without sliding along a straight line traces a catenary. We give some historical notes on this classical kinematical construction, observe that it was rediscovered i...
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The Catenary Curve

2004
In this chapter we derive and solve the differential equation for the catenary curve. Given the end points and the length of the chain as boundary conditions we show how to compute a specific curve by solving the resulting nonlinear system in an elegant machine independent and foolproof way.
Walter Gander, Urs Oswald
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The vibrations of catenaries

Physics Bulletin, 1963
In continuation of work reported earlier, experiments on the different modes of vibration of flexible suspension chains have been repeated and extended. The different periods of vibration found experimentally have been compared with the periods calculated by (1) the author for vibrations perpendicular to the plane of the chain and (2) Saxon and Cahn ...
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In Praise of the Catenary

The Physics Teacher, 2018
When a chain hangs loosely from its end points, it takes the familiar form known as the catenary. Power lines, clothes lines, and chain links are familiar examples of the catenary in everyday life. Nevertheless, the subject is conspicuously absent from current introductory physics and calculus courses.
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