Comparison between the basic least squares and the Bayesian approach for elastic constants identification
作者： C Gogu , R Haftka , R Le Riche , J Molimard , A Vautrin
DOI: 10.1088/1742-6596/135/1/012045
关键词:
摘要: The basic formulation of the least squares method, based on L2 norm misfit, is still widely used today for identifying elastic material properties from experimental data. An alternative statistical approach Bayesian method. We seek here situations with significant difference between found by two methods. For a simple three bar truss example we illustrate such in which leads to more accurate results: different magnitude measurements, uncertainty measurements and correlation among measurements. When all effects add up, can have large advantage. then compared methods identification constants plate vibration natural frequencies.
harvard.edu
archives-ouvertes.fr
emse.fr 参考文章(7)
Albert Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation ,(2004)
Federica Daghia, Stefano de Miranda, Francesco Ubertini, Erasmo Viola, Estimation of elastic constants of thick laminated plates within a Bayesian framework Composite Structures. ,vol. 80, pp. 461- 473 ,(2007) , 10.1016/J.COMPSTRUCT.2006.06.030
Åke Björck, Numerical Methods for Least Squares Problems ,(1996)
Tshilidzi Marwala, Sibusiso Sibisi, Finite Element Model Updating Using Bayesian Framework and Modal Properties Journal of Aircraft. ,vol. 42, pp. 275- 278 ,(2005) , 10.2514/1.11841
Charles L. Lawson, Richard J. Hanson, Solving Least Squares Problems ,(1974)
Ake Bjorck, Numerical Methods for Least Squares Problems Society for Industrial and Applied Mathematics. ,(1996) , 10.1137/1.9781611971484
Albert Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation Society for Industrial and Applied Mathematics. ,(2005) , 10.1137/1.9780898717921