14,070 research outputs found
Boundary controllability and source reconstruction in a viscoelastic string under external traction
Treatises on vibrations devote large space to study the dynamical behavior of
an elastic system subject to known external tractions. In fact, usually a
"system" is not an isolated body but it is part of a chain of mechanisms which
disturb the "system" for example due to the periodic rotation of shafts. This
kind of problem has been rarely studied in control theory. In the specific case
we shall study, the case of a viscoelastic string, the effect of such external
action is on the horizontal component of the traction, and so it affects the
coefficients of the corresponding wave type equation, which will be time
dependent. The usual methods used in controllability are not naturally adapted
to this case. For example at first sight it might seem that moment methods can
only be used in case of coefficients which are constant in time. Instead, we
shall see that moment methods can be extended to study controllability of a
viscoelastic string subject to external traction and in particular we shall
study a controllability problem which is encountered in the solution of the
inverse problem consisting in the identification of a distributed disturbance
source
Identification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolution
We present an algorithm for the identification of the relaxation kernel in
the theory of diffusion systems with memory (or of viscoelasticity) which is
linear, in the sense that we propose a linear Volterra integral equation of
convolution type whose solution is the relaxation kernel. The algorithm is
based on the observation of the flux through a part of the boundary of a body
Searches for New Heavy Resonances in Final States with Leptons and Photons in ATLAS and CMS
Searches for resonances in final states with leptons and photons have always
been a powerful tool for discovery in high energy physics. We present here the
latest results from the ATLAS and CMS experiments, based on up to 36.1
fb of 13 TeV proton-proton collisions produced at the Large Hadron
Collider. Detailed results on single lepton, dilepton, diphoton and Z
resonances are included
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