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MTMD design models and the optimum design parameters for the vibration control of structures

Li Chun

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Abstract

Multiple Tuned Mass Dampers(MTMD)consist of many tuned mass dampers with a uniform distribution of natural frequencies.Five types of MTMD models(i.e.MTMD1～MTMD5)are formed in light of the combinations available of the system parameters.Based on the derived displacement transfer function of the structure with the general MTMD under the ground acceleration,the unified expression for the displacement dynamic magnification factor(DDMF)is formulated for the MTMD1～MTMD5.Utilizing a numerical optimum searching technique,a study is performed to investigate the optimum design parameters,which include the optimum frequency spacing,damping ratio,and tuning frequency ratio.These optimum design parameters can be directly used to desing MTMD.Numerical results indicate that the MTMD model for reducing the seismic response of structures should be determined through comprehensively weighing the MTMD1 and MTMD5 models.

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What this paper is about

Multiple Tuned Mass Dampers(MTMD)consist of many tuned mass dampers with a uniform distribution of natural frequencies.Five types of MTMD models(i.e.MTMD1～MTMD5)are formed in light of the combinations available of the system parameters.Based on the derived displacement transfer function of the structure with the general MTMD under the ground acceleration,the unified expression for the displacement dynamic magnification factor(DDMF)is formulated for the MTMD1～MTMD5.Utilizing a numerical optimum searching technique,a study is performed to investigate the optimum design parameters,which include the optimum frequency spacing,damping ratio,and tuning frequency ratio.These optimum design parameters can be directly used to desing MTMD.Numerical results indicate that the MTMD model for reducing the seismic response of structures should be determined through comprehensively weighing the MTMD1 and MTMD5 models.

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Available abstract

Multiple Tuned Mass Dampers(MTMD)consist of many tuned mass dampers with a uniform distribution of natural frequencies.Five types of MTMD models(i.e.MTMD1～MTMD5)are formed in light of the combinations available of the system parameters.Based on the derived displacement transfer function of the structure with the general MTMD under the ground acceleration,the unified expression for the displacement dynamic magnification factor(DDMF)is formulated for the MTMD1～MTMD5.Utilizing a numerical optimum searching technique,a study is performed to investigate the optimum design parameters,which include the optimum frequency spacing,damping ratio,and tuning frequency ratio.These optimum design parameters can be directly used to desing MTMD.Numerical results indicate that the MTMD model for reducing the seismic response of structures should be determined through comprehensively weighing the MTMD1 and MTMD5 models.

Key concepts: Tuned mass damper, Vibration, Structural engineering, Displacement (psychology), Vibration control, Damping ratio, Damper, Materials science

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