Artículos de revistas
Uniqueness in the determination of vibration sources in rectangular Germain–Lagrange plates using displacement measurements over line segments with arbitrary small length
Fecha
2013Registro en:
10.1088/0266-5611/29/8/085002
Autor
Kawano, Alexandre
Institución
Resumen
The theme of this work is related to the field of vibration and source detection,
which is important in naval, aerospace and civil engineering industries. The
detection of unexpected vibration sources, in general, signals malfunctioning,
or even an undesired presence in the case of defense systems. The focus will
be on thin plates, which are among the basic building blocks of large complex
structures.Here, we consider loads acting on a rectangular plate R of the product
form g(t )Q(x), where the function of time g has a continuous first derivative
and the spatial load distribution Q is a square-integrable function over R. We
prove that the observation of the displacement of a line segment with arbitrary
length parallel to one of the sides of the plate is enough for the determination
of Q, provided that the interval of time is long enough. We also prove that the
normal derivative along a side of the rectangle measured for an arbitrarily small
interval of time is sufficient to determine the spatial load distribution Q. The
method used to obtain the results is based on the series decomposition of the
dynamic response and an analysis of the almost periodic distribution that arises
from it.