Approaches for estimation of site motion beyond linear models are discussed. It is proposed to represent site motion in a sum of three functions: a linear function, an expansion with the B-spline bases, a sum of principal components of the expansion with the Fourier basis. The VLBI dataset from 1979 to 2005 was re-analyzed following this approach. It is concluded that this approach is adequate for describing the non-linear position evolution of VLBI stations.