The analysis of uncertain systems is becoming an actual engineering concern. Frequently it is necessary to compute response quantities (displacement, stress state, frequencies, etc.) in mechanical or structural systems whose characteristics depend on a set of not deterministically known parameters (f.i. manufacture errors or inaccuracy in measurement of system properties). These variations could lead to large and unexpected excursions of the structural response and may lead to drastic reductions in structural safety. A probabilistic approach is necessary for adequate reliability analysis. The problem may be faced by means of Montecarlo simulation, which allows statistical evaluation after a large number of analyses with different values of the random parameters. This approach is very computationally expensive, especially when the phenomena to be investigated are controlled by non-linear equations. For this reason some non-statistical alternative procedures have been proposed. These alternative procedures mainly consist in a direct approach using probabilistic, instead of statistic, theory. This is usually pursued in both static and dynamic setting by using expansion methods, where the stiffness matrix of the structural problem is split in a deterministic part (obtained with the mean value of random parameters) and a part which accounts for the fluctuation of the random variables about its mean value.

Dynamics analysis of non linear uncertain systems by a joined Galerkin/RBF approach / M. Betti; P. Biagini; L. Facchini. - STAMPA. - (2008), pp. 0-1. (Intervento presentato al convegno 8th World Congress on Computational Mechanics (WCCM8) & 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). tenutosi a Venezia ,Italia nel 30 giugno - 5 luglio 2008).

Dynamics analysis of non linear uncertain systems by a joined Galerkin/RBF approach

BETTI, MICHELE
;
FACCHINI, LUCA
2008

Abstract

The analysis of uncertain systems is becoming an actual engineering concern. Frequently it is necessary to compute response quantities (displacement, stress state, frequencies, etc.) in mechanical or structural systems whose characteristics depend on a set of not deterministically known parameters (f.i. manufacture errors or inaccuracy in measurement of system properties). These variations could lead to large and unexpected excursions of the structural response and may lead to drastic reductions in structural safety. A probabilistic approach is necessary for adequate reliability analysis. The problem may be faced by means of Montecarlo simulation, which allows statistical evaluation after a large number of analyses with different values of the random parameters. This approach is very computationally expensive, especially when the phenomena to be investigated are controlled by non-linear equations. For this reason some non-statistical alternative procedures have been proposed. These alternative procedures mainly consist in a direct approach using probabilistic, instead of statistic, theory. This is usually pursued in both static and dynamic setting by using expansion methods, where the stiffness matrix of the structural problem is split in a deterministic part (obtained with the mean value of random parameters) and a part which accounts for the fluctuation of the random variables about its mean value.
2008
Proceeding of the 8th World Congress on Computational Mechanics (WCCM8) & 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008).
8th World Congress on Computational Mechanics (WCCM8) & 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008).
Venezia ,Italia
30 giugno - 5 luglio 2008
M. Betti; P. Biagini; L. Facchini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/342572
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