This paper includes the study of behavior of a single degree of freedom system with viscous dampers subjected to harmonic excitation. In this study one story building is considered. The mathematical model of building subjected to harmonic excitation is obtained and its solution is obtained by state space method. The viscous damper is considered for the building with different percentage of damping. The response of building under resonance and non-resonance condition is obtained and it is observed that it can be significantly reduced by installing viscous damper. It is further observed that the linear viscous damper is more effective in reducing the responses for resonance case.

This paper includes the study ofbehavior of a single degree of freedom system withnonlinearviscous damper, semi active variable damper and semi active stiffness damper subjected to harmonic excitation. In this paper, single story asymmetric building is considered. The mathematical model of building subjected to harmonic excitation is obtained and solution of this is obtained by state space method. The building is considered with different dampers.The response of building is obtained under resonance and non-resonance condition and the comparison of response for these different cases is carried out.