Abstract
This paper presents a performance-based placement design method for the control of the earthquake responses of a multi-story building using tuned electromagnetic inertial mass dampers (T-EIMD). The T-EIMD consists of a ball screw mechanism, a gear, a flywheel, and an electric generator installed in a cylinder, and a spring element connected in series. The ball screw mechanism converts the axial oscillation of the rod end into the rotational motion of the internal flywheel, and generates a large inertial force. The electric generator is turned by the rotation of the inner rod and generates a variable damping force that is controlled by the terminal resistance. The T-EIMDs are installed between adjacent floors of a building with steel chevron braces, and function as large tuned mass dampers within the stories. The spring element has the function of tuning the natural period of the T-EIMD to the fundamental natural period of the building. In the present work, a design procedure for the story-wise placement of T-EIMDs is proposed to limit the peak story drift angles to a specified target value. The proposed procedure utilizes the expanded complete quadratic combination (CQC) method that involves modal analysis with complex eigenvalue analysis, and is able to determine the necessary story-wise distribution of inertial masses of the T-EIMDs in a building. Time history earthquake response analyses are carried out for multi-story building models set up with the necessary number of T-EIMD units, and the results establish the effectiveness and the adequacy of the proposed performance-based placement design procedure.
Highlights
An inertial mass damper (IMD) is a new kind of response control damper that is capable of generating an inertial force on a structure
The electromagnetic inertial mass damper (EIMD) in this study is a type of an IMD that consists of a ball screw, a flywheel, a gear, and an electric generator
The novelty of the present study lies in the makeup of the tuned electromagnetic inertial mass dampers (T-EIMDs) as a new kind of tuned inertial mass damper (T-IMD) with a large inertial mass and a variable damping force, and in the performance-based placement procedure of the T-EIMD to control the peak story drifts to the target value for the design response spectrum
Summary
An inertial mass damper (IMD) is a new kind of response control damper that is capable of generating an inertial force on a structure. The novelty of the present study lies in the makeup of the T-EIMD as a new kind of T-IMD with a large inertial mass and a variable damping force, and in the performance-based placement procedure of the T-EIMD to control the peak story drifts to the target value for the design response spectrum. From Eqs 9b and 29, the damping factor, hE, of the installed T-EIMDs is determined by TE and R as follows: TE 4π cEj φEj. where the terminal resistance of the generator, R, is spec- In the design process shown in the 10th step, the ified as a common control parameter for the T-EIMDs in inertial mass {φEj} is regulated by the ratio of the evaluated peak. The proposed design procedure utilizes complex eigenvalue analysis, and, can provide the changes in the natural periods and the damping factors of the building with T-EIMDs
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