On the Use of Discretization Error Estimates in Finite Element Model Updating
JE Mottershead (Liverpool University), MI Friswell & YH Zhang (University of Wales Swansea)
Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 11, No. 3-4, 1996, pp. 155-164
A method is presented for the estimation of natural frequency discretisation errors in finite element models. The method is based upon the smoothing of mode shape stresses, whilst the dynamic loads are redistributed to give a uniform load distribution applied separately to each element. An exact solution for the redistribution is shown to exist in the case of a bar element, and for a beam element a least-squares solution is available. The method can be applied to other element types. Rapid and accurate convergence is demonstrated and the method is found to be superior to other established methods for estimating natural frequency discretisation errors. Such errors are known to give rise to a systematic error in finite element model updating.
This material has been published in the Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 11, No. 3-4, 1996, pp. 155-164, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Society for Experimental Mechanics. The Society for Experimental Mechanics stopped publishing Modal Analysis at the end of 1996. Sage Science Publishers, Thousand Oaks, California, purchased the rights and incorporated Modal Analysis into its existing publication, The Journal of Vibration and Control.
Society for Experimental Mechanics