tailieunhanh - Advances in Vibration Analysis Research Part 6

Tham khảo tài liệu 'advances in vibration analysis research part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 8 B-spline Shell Finite Element Updating by Means of Vibration Measurements Antonio Carminelli and Giuseppe Catania DIEM Dept. of Mechanical Design University of Bologna viale Risorgimento 2 40136 Bologna Italy 1. Introduction Within the context of structural dynamics Finite Element FE models are commonly used to predict the system response. Theoretically derived mathematical models may often be inaccurate in particular when dealing with complex structures. Several papers on FE models based on B-spline shape functions have been published in recent years Kagan Fischer 2000 Hughes et al 2005 . Some papers showed the superior accuracy of B-spline FE models compared with classic polynomial FE models especially when dealing with vibration problems Hughes et al 2009 . This result may be useful in applications such as FE updating. Estimated data from measurements on a real system such as frequency response functions FRFs or modal parameters can be used to update the FE model. Although there are many papers in the literature dealing with FE updating several open problems still exist. Updating techniques employing modal data require a previous identification process that can introduce errors exceeding the level of accuracy required to update FE models D ambrogio Fregolent 2000 . The number of modal parameters employed can usually be smaller than that of the parameters involved in the updating process resulting in ill-defined formulations that require the use of regularization methods Friswell et al. 2001 Zapico et al. 2003 . Moreover correlations of analytical and experimental modes are commonly needed for mode shapes pairing. Compared with updating methods using modal parameters as input methods using FRFs as input present several advantages Esfandiari et al. 2009 Lin Zhu 2006 since several frequency data are available to set an over-determined system of equations and no correlation analysis for mode pairing is necessary in general. Nevertheless there are some issues .

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