Stochastic Model Updating: Part 1 - Theory and Simulated Example
C Mares (Brunel University), JE Mottershead (University of Liverpool) & MI Friswell (University of Bristol)
Mechanical Systems and Signal Processing, Vol. 20, No. 7, October 2006, pp. 1674-1695
The usual model updating method may be considered to be deterministic since
it uses measurements from a single test system to correct a nominal finite element model.
There may however be variability in seemingly identical test structures and uncertainties
in the finite element model. Variability in test structures may arise from many sources
including geometric tolerances and the manufacturing process, and modelling
uncertainties may result from the use of nominal material properties, ill-defined joint
stiffnesses and rigid boundary conditions. In this paper the theory of stochastic model
updating using a Monte-Carlo inverse procedure with multiple sets of experimental
results is explained and then applied to the case of a simulated three degree-of-freedom
system, which is used to fix ideas and also to illustrate some of the practical limitations of
the method. In the companion paper, stochastic model updating is applied to a benchmark
structure using a contact finite element model that includes common uncertainties in the
modelling of the spot welds.
This material has been published in the Mechanical Systems and Signal Processing, Vol. 20, No. 7, October 2006, pp. 1674-1695, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the Elsevier.
Link to paper using doi:10.1016/j.ymssp.2005.06.006
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