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Volterra kernel identification of MIMO aeroelastic system through multiresolution and multiwavelets

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Abstract

In this paper a nonlinear multi-input multi-output (MIMO) aeroelastic systems’ Volterra kernel identification (VKI) is carried out by expansion of the Volterra kernels in terms of scale functions and multiwavelet functions employing multiresolution. The resulting system of discretized Volterra equations is solved through least square method employing singular value decomposition. A new algorithm for solution of the discretized Volterra equations is proposed which is beneficial for solution on computers with limited memory resources. A new input excitation signal is presented for simultaneous excitation of MIMO unsteady aerodynamic response. The identified MIMO Volterra kernels include first order and second order self-interaction and cross-interaction kernels of the system. The results from the VKI based reduced order model is compared with the coupled computational fluid dynamics and computational structural dynamics simulation of an aeroelastic wing.

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Authors and Affiliations

  1. School of Aeronautics Science and Engineering, Beihang University, Beijing, People’s Republic of China

    Jawad Khawar, Wu Zhigang & Yang Chao

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  1. Jawad Khawar
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  2. Wu Zhigang
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  3. Yang Chao
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Correspondence to Jawad Khawar.

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Khawar, J., Zhigang, W. & Chao, Y. Volterra kernel identification of MIMO aeroelastic system through multiresolution and multiwavelets. Comput Mech 49, 431–458 (2012). https://doi.org/10.1007/s00466-011-0655-9

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  • DOI: https://doi.org/10.1007/s00466-011-0655-9

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