This paper is aimed at sharpen a weak invariance principle for stationary sequences in Doukhan & Louhichi (1999). Our assumption is both beyond mixing and the causal θ-weak dependence in Dedecker and Doukhan (2003); those authors obtained a sharp result which improves on an optimal one in Doukhan et alii (1995) under strong mixing. We prove this result and we also precise convergence rates unde...

This paper discusses a detailed study carried out on vibration characteristics of transversely loaded pultruted composite beams. A considerable discrepancy was noticed in the measured vibration of the transversely loaded beam and the calculated natural frequencies of the beam using Euler-Bernoulli beam theory. It has been observed that the natural frequencies of the beam were increased after la...

In these lectures I shall present some of the ideas and methods used in the proof of the celebrated theorem stating that two Bernoulli schemes are isomorphic if and only if they have the same entropy. I shall concentrate, because of lack of time, on a well known partial result, Sinai's theorem, which states that two Bernoulli schemes are weakly isomorphic if and only if they have the same entro...

The aim of this paper is to compare the static deflections and stress results of layered and functionally graded composite beams under static load. In the comparison study, the results obtained for a cantilever beam under point load. The Timoshenko beam and the Euler-Bernoulli beam theories are used in the beam model. The energy based Ritz method is used for the solution of the problem and alge...

In present study, a mathematical model of the vehicle–floating slab track (FST) interaction is established to investigate the coupled behaviour of vehicle–track system. The FST is modelled as the double Euler -Bernoulli beam including the rail and slab. The railway vehicle is simplified as a multi-rigid-body model. The wheel–rail interface is treated using a nonlinear Hertzian contact model, co...

composites provide design flexibility because many of them can be moulded into complex shapes.  carbon fibre-reinforced epoxy composites exhibit excellent fatigue tolerance with high specific strength and stiffness. these properties led to their numerous advanced applications ranging from military and civil aircraft structures to consumer products. the modelling of beams undergoing arbitrarily ...

An investigation of the beam-beam interaction as a function of transverse separation of colliding proton and antiproton bunches is presented. A mathematical model describing resonant excitation of separated beams is examined. Beam-beam experiments in the Fermilab collider measure beam-beam resonant excitation ~particle losses! at different transverse beam separations in the storage ring. The ex...

We present a construction of an entropy-preserving equivariant surjective map from the d-dimensional critical sandpile model to a certain closed, shift-invariant subgroup of T d (the ‘harmonic model’). A similar map is constructed for the dissipative abelian sandpile model and is used to prove uniqueness and the Bernoulli property of the measure of maximal entropy for that model.

Precise measurements of the longitudinal profiles of ion beams with ∼10 ps temporal resolution became available with the help of a Bunch Shape Monitor (BSM) developed and used at the INR. A number of BSMs have been developed, fabricated at the INR and tested with a beam at several laboratories during last 3 years. The upgraded BSM-Bunch Length and Velocity Detector (BLVD)-can measure not only l...