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A uniform high-order time-domain approach for wave propagation in bounded and unbounded domains is proposed. It is based on improved continued-fraction expansions of the dynamic stiffness. The coefficient matrices of the continued-fraction expansion are determined recursively from the scaled boundary finite element equations in dynamic stiffness. The resulting solution is suitable for systems with many degrees of freedom as it converges over the whole frequency range, even for high orders of expansion. In the time-domain, the continued-fraction solutions correspond to equations of motion with symmetric, banded and frequency-independent coefficient matrices.

A UNIFIED HIGH-ORDER APPROACH TO WAVE PROPAGATION IN BOUNDED AND UNBOUNDED DOMAINS USING THE SCALED BOUNDARY FINITE ELEMENT METHOD