With the aim of reducing one or more structural response parameters, past studies into TMDs have focused on the development of analytical expressions for the optimisation of the TMD
parameters mass, stiffness and damping. Occasional parametric verifications of such analytical expressions have made reference to very specific model structures with a limited number of defined variables in structural and soil properties. Studies into the response of structures considering their interaction with the foundation soil and the TMD have been performed by several authors [2,7,8]. However, prior to Ghosh and Basu