The treatment of uncertainties in the analysis of engineering
structures remains one of the premium challenges in modern
structural mechanics. It is only in recent years that the
developments in stochastic and deterministic computational
mechanics began to be synchronized. To foster these developments,
novel computational procedures for the uncertainty assessment of
large finite element systems are presented in this monograph. The
stochastic input is modeled by the so-called Karhunen-Lo ve
expansion, which is formulated in this context both for scalar and
vector stochastic processes as well as for random fields.
Particularly for strongly non-linear structures and systems the
direct Monte Carlo simulation technique has proven to be most
advantageous as method of solution. The capabilities of the
developed procedures are demonstrated by showing some practical
applications.
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