B-Spline Impulse Response

The derivation of the B-Spline impulse response matrix of a large soil-tie system can be greatly simplified by observing that (i) a relatively small number of ties contribute significantly to the response of the system, (ii) cross interaction effects between ties is significant only for a few adjacent ties, (iii) the B-Spline impulse response of the system due to a load applied at an arbitrary tie can be represented by appropriately shifting in space the B-Spline impulse response due to a load applied at a reference tie. 

The nondimensional B-Spline Impulse Response Function for the soil-tie system is independent of the actual soil conditions and the moving loads. This leads to an efficient implementation of the BEM solver of the proposed methodology. 

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