Nonlinear Vibration Control of a Multi-Degree-of-Freedom Structure

Abstract

In this study, the nonlinear vibration model of structure with cross support is established. The conventional structure without cross support is linear and easy to be investigated. Unfortunately, its dynamic stability and vibration due to earthquake excitation are usually not acceptable. For suppressing the structural vibration the cross support composed of the elastic connecting bar and damper is considered here. This is a passive control design. Beside, due to the supporting arrangement, the mathematical model of the structure is highly nonlinear. In this study, the analytical solution for this system is derived. Further, the effects of control parameters on the vibration response are investigated.