The Symposium was aimed at the theoretical and numerical
problems involved in modelling the dynamic response of structures
which have uncertain properties due to variability in the
manufacturing and assembly process, with automotive and aerospace
structures forming prime examples. It is well
known that the difficulty in predicting the response statistics
of such structures is immense, due to the complexity of the
structure, the large number of variables which might be uncertain,
and the inevitable lack of data regarding
the statistical distribution of these variables.
The Symposium participants presented the latest thinking in this
very active research area, and novel techniques were presented
covering the full frequency spectrum of low, mid, and high
frequency vibration problems. It was demonstrated that for high
frequency vibrations the response statistics
can saturate and become independent of the detailed distribution
of the uncertain system parameters. A number of presentations
exploited this physical behaviour by using and extending methods
originally developed in both
phenomenological thermodynamics and in the fields of quantum
mechanics and random matrix theory.
For low frequency vibrations a number of presentations focussed
on parametric uncertainty modelling (for example, probabilistic
models, interval analysis, and fuzzy descriptions) and on methods
of propagating this uncertainty through a large dynamic model in an
effi cient way. At mid frequencies
the problem is mixed, and various hybrid schemes were
proposed.
It is clear that a comprehensive solution to the problem of
predicting the vibration response of uncertain structures across
the whole frequency range requires expertise across a wide range of
areas (including probabilistic and non-probabilistic methods,
interval and info-gap analysis, statistical energy analysis,
statistical thermodynamics, random wave approaches, and large
scale computations) and this IUTAM symposium presented a unique
opportunity to bring together outstanding international experts in
these fields."
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