Parameter Identification of a Sandwich Beam Using Numerical-Based Inhomogeneous Wave Correlation Method
To achieve low calculation-cost structural identification process, a numerical-based Inhomogeneous Wave Correlation (IWC) method is proposed in this paper as an extension to the experiment-based IWC. It consists, in a wave propagation framework also calle
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Abstract To achieve low calculation-cost structural identification process, a numerical-based Inhomogeneous Wave Correlation (IWC) method is proposed in this paper as an extension to the experiment-based IWC. It consists, in a wave propagation framework also called wavenumber space (k-space), on identifying the propagation parameters such as the wavenumber and the spatial damping from the Frequency Response Functions (FRFs) computed using numerical simulations. The proposed method is applied to a sandwich beam with honeycomb cores in flexural vibration. Compared to its implementation based on experimentally-measured FRFs, the proposed numerical-based IWC proves to be an efficient tool for more inner structural parameter identification in wide frequency band with respect to the Mc Daniel method considered as reference.
Keywords Identification Inhomogeneous wave correlation space Damping Honeycomb-core sandwich
Wavenumber
R. Ajili (&) National School of Engineers of Tunis (ENIT), University of Tunis el Manar, BP 37, Le Belvedere, 1002 Tunis, Tunisia e-mail: [email protected] R. Ajili O. Bareille M.-N. Ichchou Laboratory of Tribology and Dynamics of Systems (LTDS), Ecole Centrale de Lyon, 36 Avenue Guy de Collongues, 69130 Ecully, France R. Ajili M.-L. Bouazizi Preparatory Engineering Institute of Nabeul (IPEIN), Research Unit of Structural Dynamics, Modelling and Engineering of Multi-Physics, 8000 M’rezgua Nabeul, Tunisia N. Bouhaddi FEMTO-ST Institute UMR 6174, Department of Applied Mechanics, University of Franche-Comté, 24 Chemin de l’Epitaphe, 25000 Besançon, France M.-L. Bouazizi Mechanical Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia © Springer International Publishing Switzerland 2017 T. Fakhfakh et al. (eds.), Advances in Acoustics and Vibration, Applied Condition Monitoring 5, DOI 10.1007/978-3-319-41459-1_7
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1 Introduction Structural identification forms an ever growing emphasis in engineering applications, such as vibroacoustics. Since experiments are expensive, the use of numerical simulations becomes more and more inevitable in order to reduce the cost of the identification process for bulk structural property forecasting. In the literature, most works focus on the modal-based numerical approaches. In spite of their efficiency in low frequency range, these methods proved to be limited in mid and high frequencies. This disadvantage makes their use of limited interest. Other methods based on wave propagation approach are introduced as an alternative. The latter are based on the wavenumber space (k-space) analysis for parameter identification (Ichchou et al. 2008a). With special emphasis on the k-space characteristics identification, the most frequently used approaches are the Mc Daniel (Mc Daniel et al. 2000a) and the Inhomogeneous Wave Correlation (IWC) (Berthaut et al 2005) methods. The principle of the Mc Daniel method is to adjust iteratively, for each frequency, the wavenumber using as initial esti
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