Nonlinear Response Analysis-Based Control Performance Diagrams for Linear TMDs Mounted on Reinforced Concrete Buildings

Abstract

This paper describes the passive control method of tuned mass dampers (TMD) for reducing seismic response in reinforced concrete buildings. To reduce seismic response in a wide range of strong ground motion levels, the displacement-dependent optimal tuning ratios of linear TMDs in nonlinear response were formulated. Then, we proposed performance curve diagrams using the optimal tuning ratio through nonlinear time history analysis with various mass ratios and damping ratios. These diagrams allow us to visually determine the appropriate TMD under the constraints of TMD's mass, damping coefficient, and peak deformation. For mid-to-high rise buildings subjected to various ground motions, spatial frame analyses were conducted to demonstrate the engineering applications. The peak response showed good agreement with the estimations based on the performance curve diagram. Without excessive deformation, the TMD reduced the peak displacement of the buildings by 10 to 15 percent.