This article is motivated by an engineering problem: given a mechanica
l system with some amount of looseness, is it possible to identify thi
s looseness using; only dynamical testing? Such a possibility would pe
rmit automated testing, frequent and cheap monitoring, and would be pa
rticularly useful in hostile environments. To understand this question
, we considered a model of the following mechanical setup (see Figure
1). A U-shaped mobile part is joined to a massive solid support by a l
inear elastic spring and a damper; the mobile part is submitted to a s
inusoidal excitation. It is assumed that the motion is one dimensional
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