Abstract
A high-order time-domain approach for wave propagation in bounded and unbounded domains is developed based on the scaled boundary finite element method. The dynamic stiffness matrices of bounded and unbounded domains are expressed as continued-fraction expansions. The coefficient matrices of the expansions are determined recursively. This approach leads to accurate results with only about 3 terms per wavelength. A scheme for coupling the proposed high-order time-domain formulation for bounded domains with a high-order transmitting boundary suggested previously is also proposed. In the time-domain, the coupled model corresponds to equations of motion with symmetric, banded and frequencyindependent coefficient matrices, which can be solved efficiently using standard time-integration schemes. A numerical example is presented.
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Birk, C., Chen, D., Song, C., Du, C. (2014). The Scaled Boundary Finite Element Method for Transient Wave Propagation Problems. In: Klinkel, S., Butenweg, C., Lin, G., Holtschoppen, B. (eds) Seismic Design of Industrial Facilities. Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-02810-7_45
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DOI: https://doi.org/10.1007/978-3-658-02810-7_45
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