Comparison between the basic least squares and the Bayesian approach for elastic constants identification

C Gogu, R Haftka, R Le Riche, J Molimard, A Vautrin, B Sankar
2008 Journal of Physics, Conference Series  
The basic formulation of the least squares method, based on the L 2 norm of the misfit, is still widely used today for identifying elastic material properties from experimental data. An alternative statistical approach is the Bayesian method. We seek here situations with significant difference between the material properties found by the two methods. For a simple three bar truss example we illustrate three such situations in which the Bayesian approach leads to more accurate results: different
more » ... agnitude of the measurements, different uncertainty in the measurements and correlation among measurements. When all three effects add up, the Bayesian approach can have a large advantage. We then compared the two methods for identification of elastic constants from plate vibration natural frequencies.
doi:10.1088/1742-6596/135/1/012045 fatcat:7op3plkfiragrjuupq2mqlbl3u