Open Access

ARTICLE

An Efficient Response Surface Based Optimisation Method for Non-Deterministic Harmonic and Transient Dynamic Analysis

M. De Munck¹, D. Moens², W. Desmet³, D.Vandepitte³

1 Dept. of Industrial Sciences and Technology, Katholieke Hogeschool Limburg, Associatie K.U.Leuven, Belgium
2 Dept. of Applied Engineering, Campus De Nayer, Lessius Hogeschool, Associatie K.U.Leuven, Belgium
3 Dept. of Mechanical Engineering, Div. PMA, Katholieke Universiteit Leuven, Belgium

Computer Modeling in Engineering & Sciences 2009, 47(2), 119-166. https://doi.org/10.3970/cmes.2009.047.119

Abstract

Deterministic simulation tools enable a very precise simulation of physical phenomena using numerical models. In many real life situations however, a deterministic analysis is not sufficient to assess the quality of a design. In a design stage, some physical properties of the model may not be determined yet. But even in a design ready for production, design tolerances and production inaccuracies introduce variability and uncertainty. In these cases, a non-deterministic analysis procedure is required, either using a probabilistic or a non-probabilistic approach. The authors developed an intelligent Kriging response surface based optimisation procedure that can be used in combination with any deterministic numerical analysis code to perform efficient interval and fuzzy numerical analyses. The procedure is illustrated on the transient analysis of a cable stayed bridge model and on the harmonic analysis of a benchmark model.

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