Dynamic analysis of a tall building with a tuned-mass-damper device subjected to earthquake excitations

In this paper, Hamilton's principle and finite element method are employed to formulate the new dynamic equation of a tall building subjected to earth quake excitations. A tuned-mass-damper (TMD) system is installed at the top to absorb the earthquake-induced vibrations. First, the non-linear governi ng equations in the axial and transverse directions are obtained by the Eul er-beam theory. Secondly, the simple-flexure beam model is employed to redu ce the system as a linear one. The energetic analyses of these two beam the ories are provided. It is found that the rigid-body motion of the TMD and t he transversal vibrations of the tall building are coupled and energy is tr ansfered between them. Finally, the effects of several parameters on the ri gid-body motion and transversal vibrations are presented and discussed. (C) 2001 Academic Press.