Abstract For the analysis of wave propagation at high frequencies, the spectral finite element method is under investigation. In contrast to the conventional finite element method, high-order shape functions are used. They are composed of Lagrange polynomials with nodes at the Gauss–Lobatto–Legendre points. The Gauss–Lobatto–Legendre integration scheme is applied in order to obtain a diagonal mass matrix. The resulting system equations can be solved efficiently. In the numerical examples, spectral finite elements with shape functions of different order are applied to a plane strain problem. The numerical examples cover structures without and with stiffness discontinuities. It is shown that the results agree well with analytical and experimental solutions.


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    Title :

    Numerical simulation of wave propagation using spectral finite elements


    Contributors:
    Hennings, B. (author) / Lammering, R. (author) / Gabbert, U. (author)

    Published in:

    Publication date :

    2013




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    50.03 Methoden und Techniken der Ingenieurwissenschaften / 50.03 Methoden und Techniken der Ingenieurwissenschaften, Methoden und Techniken der Ingenieurwissenschaften / 55.50 Luftfahrzeugtechnik / 55.50 Luftfahrzeugtechnik, Luftfahrzeugtechnik
    DDC:    629.105




    Numerical simulation of wave propagation using spectral finite elements

    Hennings, B. / Lammering, R. / Gabbert, U. | Springer Verlag | 2013




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    Free access