9,330 research outputs found
On Relativistic Perturbations of Second and Higher Order
We present the results of a study of the gauge dependence of spacetime
perturbations. In particular, we consider gauge invariance in general, we give
a generating formula for gauge transformations to an arbitrary order n, and
explicit transformation rules at second order.Comment: 6 pages, latex, with special style included, Proceedings of the 12th
Italian Conference on General Relativity and Gravitational Physic
Dynamics of Silent Universes
We investigate the local non--linear dynamics of irrotational dust with
vanishing magnetic part of the Weyl tensor, . Once coded in the initial
conditions, this dynamical restriction is respected by the relativistic
evolution equations. Thus, the outcome of the latter are {\it exact solutions}
for special initial conditions with , but with no symmetries: they
describe inhomogeneous triaxial dynamics generalizing that of a fluid element
in a Tolman--Bondi, Kantowski--Sachs or Szekeres geometry. A subset of these
solutions may be seen as (special) perturbations of Friedmann models, in the
sense that there are trajectories in phase--space that pass arbitrarily close
to the isotropic ones. We find that the final fate of ever--expanding
configurations is a spherical void, locally corresponding to a Milne universe.
For collapsing configurations we find a whole family of triaxial attractors,
with vanishing local density parameter . These attractors locally
correspond to Kasner vacuum solutions: there is a single physical configuration
collapsing to a degenerate {\it pancake}, while the generic configuration
collapses to a triaxial {\it spindle} singularity. These {\it silent universe}
models may provide a fair representation of the universe on super horizon
scales. Moreover, one might conjecture that the non--local information carried
by becomes negligible during the late highly non--linear stages of
collapse, so that the attractors we find may give all of the relevant expansion
or collapse configurations of irrotational dust.Comment: 40 pages with 4 figures, compressed and uuencoded PostScript file,
submitted to ApJ, SISSA preprint Ref. 85/94/
Integrating Dynamics and Wear Modelling to Predict Railway Wheel Profile Evolution
The aim of the work described was to predict wheel
profile evolution by integrating multi-body dynamics
simulations of a wheelset with a wear model.
The wear modelling approach is based on a wear
index commonly used in rail wear predictions. This
assumes wear is proportional to TÎł, where T is tractive
force and Îł is slip at the wheel/rail interface. Twin disc
testing of rail and wheel materials was carried out to
generate wear coefficients for use in the model.
The modelling code is interfaced with
ADAMS/Rail, which produces multi-body dynamics
simulations of a railway wheelset and contact conditions
at the wheel/rail interface. Simplified theory of rolling
contact is used to discretise the contact patches
produced by ADAMS/Rail and calculate traction and
slip within each.
The wear model combines the simplified theory of
rolling contact, ADAMS/Rail output and the wear
coefficients to predict the wear and hence the change of
wheel profile for given track layouts
General formulation of general-relativistic higher-order gauge-invariant perturbation theory
Gauge-invariant treatments of general-relativistic higher-order perturbations
on generic background spacetime is proposed. After reviewing the general
framework of the second-order gauge-invariant perturbation theory, we show the
fact that the linear-order metric perturbation is decomposed into
gauge-invariant and gauge-variant parts, which was the important premis of this
general framework. This means that the development the higher-order
gauge-invariant perturbation theory on generic background spacetime is
possible. A remaining issue to be resolve is also disscussed.Comment: 4 pages, no figure. (v3) some explanations are added and a reference
is adde
Nets, relations and linking diagrams
In recent work, the author and others have studied compositional algebras of
Petri nets. Here we consider mathematical aspects of the pure linking algebras
that underly them. We characterise composition of nets without places as the
composition of spans over appropriate categories of relations, and study the
underlying algebraic structures.Comment: 15 pages, Proceedings of 5th Conference on Algebra and Coalgebra in
Computer Science (CALCO), Warsaw, Poland, 3-6 September 201
Human-Automation Collaboration in Complex Multivariate Resource Allocation Decision Support Systems
In resource allocation problems for systems with moving planning horizons and significant uncertainty, typical of supervisory control environments, it is critical that some balance of human-automation collaboration be achieved. These systems typically require leveraging the computational power of automation, as well as the experience and judgment of human decision makers. Human-automation collaboration can occur through degrees of
collaboration from automation-centric to human-centric, and such collaboration is inherently distinct from previously-discussed levels of automation. In the context of a command and control mission planning task, we show that across a number of metrics, there is no clear dominant
human-automation collaboration scheme for resource allocation problems using three distinct instantiations of human-automation collaboration. Rather, the ultimate selection for the best resource allocation decision support system will depend on a cost-benefit approach that could include mitigation of workload, conformance to intended design characteristics, as well as the
need to maximize overall mission performance
Cosmic no-hair: non-linear asymptotic stability of de Sitter universe
We study the asymptotic stability of de Sitter spacetime with respect to
non-linear perturbations, by considering second order perturbations of a flat
Robertson-Walker universe with dust and a positive cosmological constant. Using
the synchronous comoving gauge we find that, as in the case of linear
perturbations, the non-linear perturbations also tend to constants,
asymptotically in time. Analysing curvature and other spacetime invariants we
show, however, that these quantities asymptotically tend to their de Sitter
values, thus demonstrating that the geometry is indeed locally asymptotically
de Sitter, despite the fact that matter inhomogeneities tend to constants in
time. Our results support the inflationary picture of frozen amplitude matter
perturbations that are stretched outside the horizon, and demonstrate the
validity of the cosmic no-hair conjecture in the nonlinear inhomogeneous
settings considered here.Comment: 8 pages, REVTEX, submitted to Physical Review Lette
A new CAE procedure for railway wheel tribological design
New demands are being imposed on railway wheel wear and reliability to increase the time between wheel reprofiling, improve safety and reduce total wheelset lifecycle costs. In parallel with these requirements, changes in railway vehicle missions are also occurring. These have led to the need to operate rolling stock on track with low as well as high radius curves; increase speeds and axle loads; and contend with a decrease in track quality due to a reduction in maintenance. These changes are leading to an increase in the severity of the wheel/rail contact conditions, which may increase the likelihood of wear or damage occurring.
The aim of this work was to develop a new CAE design methodology to deal with these demands. The model should integrate advanced numerical tools for modelling of railway vehicle dynamics and suitable models to predict wheelset durability under typical operating conditions. This will help in designing wheels for minimum wheel and rail wear; optimising railway vehicle suspensions and wheel profiles; maintenance scheduling and the evaluation of new wheel materials. This work was carried out as part of the project HIPERWheel, funded by the European Community within the Vth Framework Programme
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