In this paper

the structure is simulated as a uniform shear beam supported on a rigid foundation embedded in the soil represented by a uniform visco-elastic half space. The closed form structural responses are deduced using substructure method for seismic excitation represented by vertically incident SH waves. Control of structure is realized by setting TMD( Tuned Mass Damper)which makes the upward propagating waves absorbed at the top of the structure and no downward propagating waves reflected. Subsequently

the frequency-dependent character of the parameters of TMD is acquired . Furthermore

control of the first mode of the soil-structure system is realized by choosing the parameter of TMD. Structural responses and effectiveness of the control are compared and discussed for three working patterns named no control

completely control and first mode control .