2,805 research outputs found
Stress Interference in Axisymmetric Torsion of a Transeversely Isotropic Body
An unbounded transversely isotropic body of revolution containing two spheroidal
cavities is subjected to torsion about its axis of elastic symmetry, which coincides
with its axis of revolution. At large' distances from the cavities the elastic field
approaches the Saint-Venant solution for the torsion of a circular cylinder. The
elasticity solution is obtained in series form and numerical results presented for
the case of two spherical cavities. Of primary interest is the degree of stress
interference between the. two perturbations, as a function of the spacing of the
cavities and the values of the elastic constants.Air Force Office of Scientific Research Grant No. AFOSR 82-004
Analysis of Markov-modulated infinite-server queues in the central-limit regime
This paper focuses on an infinite-server queue modulated by an independently
evolving finite-state Markovian background process, with transition rate matrix
. Both arrival rates and service rates are depending
on the state of the background process. The main contribution concerns the
derivation of central limit theorems for the number of customers in the system
at time , in the asymptotic regime in which the arrival rates
are scaled by a factor , and the transition rates by a
factor , with . The specific value of
has a crucial impact on the result: (i) for the system
essentially behaves as an M/M/ queue, and in the central limit theorem
the centered process has to be normalized by ; (ii) for ,
the centered process has to be normalized by , with the
deviation matrix appearing in the expression for the variance
Benchmark solutions for the galactic ion transport equations: Energy and spatially dependent problems
Nontrivial benchmark solutions are developed for the galactic ion transport (GIT) equations in the straight-ahead approximation. These equations are used to predict potential radiation hazards in the upper atmosphere and in space. Two levels of difficulty are considered: (1) energy independent, and (2) spatially independent. The analysis emphasizes analytical methods never before applied to the GIT equations. Most of the representations derived have been numerically implemented and compared to more approximate calculations. Accurate ion fluxes are obtained (3 to 5 digits) for nontrivial sources. For monoenergetic beams, both accurate doses and fluxes are found. The benchmarks presented are useful in assessing the accuracy of transport algorithms designed to accommodate more complex radiation protection problems. In addition, these solutions can provide fast and accurate assessments of relatively simple shield configurations
Use of a transcendental approximation in transient conduction analysis
Boundary condition solution and transcendental approximation for transient heat conduction proble
A new stochastic STDP Rule in a neural Network Model
Thought to be responsible for memory, synaptic plasticity has been widely
studied in the past few decades. One example of plasticity models is the
popular Spike Timing Dependent Plasticity (STDP). The huge litterature of STDP
models are mainly based deterministic rules whereas the biological mechanisms
involved are mainly stochastic ones. Moreover, there exist only few
mathematical studies on plasticity taking into account the precise spikes
timings. In this article, we aim at proposing a new stochastic STDP rule with
discrete synaptic weights which allows a mathematical analysis of the full
network dynamics under the hypothesis of separation of timescales. This model
attempts to answer the need for understanding the interplay between the weights
dynamics and the neurons ones
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