Chen, Q., Huang, N., Riemenschneider, S., & Xu, Y. (2006). A B-spline approach for empirical mode decompositions. Advances in Computational Mathematics, 24(1-4), 171-195.
Deléchelle, E., Lemoine, J., & Niang, O. (2005). Empirical mode decomposition: an analytical approach for sifting process. Signal Processing Letters, IEEE, 12(11), 764-767
Have you given any thought on using Hilbert Huang transform?. They use it in structural engineering applications. Here is the link to a book and a few articles:
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., Zheng, Q., ... & Liu, H. H. (1998, March). The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences (Vol. 454, No. 1971, pp. 903-995). The Royal Society.