37,275 research outputs found
Reduced dynamics of Ward solitons
The moduli space of static finite energy solutions to Ward's integrable
chiral model is the space of based rational maps from \CP^1 to itself
with degree . The Lagrangian of Ward's model gives rise to a K\"ahler metric
and a magnetic vector potential on this space. However, the magnetic field
strength vanishes, and the approximate non--relativistic solutions to Ward's
model correspond to a geodesic motion on . These solutions can be compared
with exact solutions which describe non--scattering or scattering solitons.Comment: Final version, to appear in Nonlinearit
The effects of machining process variables and tooling characterisation on the surface generation: modelling, simulation and application promise
The paper presents a novel approach for modelling and simulation of the surface generation in the machining process. The approach, by integrating dynamic cutting force model, regenerative vibration model, machining system response model and tool profile model, models the complex surface generation process. Matlab Simulink is used to interactively perform the simulation in a user-friendly, effective and efficient manner. The effects of machining variables and tooling characteristics on the surface generation are investigated through simulations. CNC turning trials have been carried out to evaluate and validate the approach and simulations presented. The proposed approach contributes to comprehensive and better understanding of the machining system, and is promising for industrial applications with particular reference to the optimisation of the machining process based on the product/component surface functionality requirements
Generic approach for deriving reliability and maintenance requirements through consideration of in-context customer objectives
Not all implementations of reliability are equally effective at providing customer and user benefit. Random system failure with no prior warning or failure accommodation will have an immediate, usually adverse impact on operation. Nevertheless, this approach to reliability, implicit in measurements such as âfailure rateâ and âMTBFâ, is widely assumed without consideration of potential benefits of pro-active maintenance. Similarly, it is easy to assume that improved maintainability is always a good thing. However, maintainability is only one option available to reduce cost of ownership and reduce the impact of failure. This paper discusses a process for deriving optimised reliability and maintenance requirements through consideration of in-context
customer objectives rather than a product in isolation
-SDYM fields and heavenly spaces: II. Reductions of the -SDYM system
Reductions of self-dual Yang-Mills (SDYM) system for -bracket Lie
algebra to the Husain-Park (HP) heavenly equation and to
sl(N,{\boldmath{C}) SDYM equation are given. An example of a sequence of
chiral fields () tending for to a curved heavenly
space is found.Comment: 18 page
Demonstration of displacement-noise-free interferometry using bi-directional MachâZehnder interferometers
We have demonstrated displacement- and frequency-noise-free laser interferometry (DFI) by partially implementing a recently proposed optical configuration using bi-directional MachâZehnder interferometers (MZIs). This partial implementation, the minimum necessary to be called DFI, has confirmed the essential feature of DFI: the combination of two MZI signals can be carried out in a way that cancels the displacement noise of the mirrors and beam splitters while maintaining gravitational-wave signals. The attained maximum displacement noise suppression was 45 dB
The experimental plan of displacement- and frequency-noise free laser interferometer
We present the partial demonstration of displacement- and laser-noise free interferometer (DFI) and the next experimental plan to examine the complete configuration. A part of the full implementation of DFI has been demonstrated to confirm the cancellation of beamsplitter displacements. The displacements were suppressed by about two orders of magnitude. The aim of the next experiment is to operate the system and to confirm the cancellation of all displacement noises, while the gravitational wave (GW) signals survive. The optical displacements will be simulated by electro-optic modulators (EOM). To simulate the GW contribution to laser lights, we will use multiple EOMs
How Observations of Circumstellar Disk Asymmetries Can Reveal Hidden Planets: Pericenter Glow and its Application to the HR 4796 Disk
Recent images of the disks of dust around the young stars HR 4796A and
Fomalhaut show, in each case, a double-lobed feature that may be asymmetric
(one lobe may be brighter than the other). A symmetric double-lobed structure
is that expected from a disk of dust with a central hole that is observed
nearly edge-on (i.e., close to the plane of the disk). This paper shows how the
gravitational influence of a second body in the system with an eccentric orbit
would cause a brightness asymmetry in such a disk by imposing a "forced
eccentricity" on the orbits of the constituent dust particles, thus shifting
the center of symmetry of the disk away from the star and causing the dust near
the forced pericenter of the perturbed disk to glow. Dynamic modeling of the HR
4796 disk shows that its 5% brightness asymmetry could be the result of a
forced eccentricity as small as 0.02 imposed on the disk by either the binary
companion HR 4796B, or by an unseen planet close to the inner edge of the disk.
Since it is likely that a forced eccentricity of 0.01 or higher would be
imposed on a disk in a system in which there are planets, but no binary
companion, the corresponding asymmetry in the disk's structure could serve as a
sensitive indicator of these planets that might otherwise remain undetected.Comment: 61 pages, 10 figures, accepted for publication in the Astrophysical
Journal (scheduled for January 10, 2000
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