东南大学学报（英文版）2025，Vol.41Issue(2)：147-155,9.DOI:10.3969/j.issn.1003-7985.2025.02.003
新型Bi-TRMD的动力特性与减振性能
Dynamic characteristics and vibration reduction performance of a novel Bi-TRMD
摘要
Abstract
A novel bidirectional tuned rolling mass damper(Bi-TRMD)device is proposed,and its dynamic character-istics and vibration reduction performance are investigated.The device achieves the performance goal of bidirectional vi-bration reduction for a tuned rolling mass damper with a single concave structure.First,the Bi-TRMD device is in-troduced,and its three-dimensional(3D)mechanical model is established.The motion equations of the model are de-rived using the Gibbs-Appell equation,and a trajectory pre-diction method for the sphere and structure within the model is developed.This method demonstrates that the rolling mo-tion of the sphere around orthogonal axes is nearly indepen-dent within a limited range,enabling the simplification of the 3D model into a two-dimensional(2D)model.The ac-curacy of this simplification is validated through case analy-sis.The vibration reduction parameters are optimized using the 2D model and Den Hartog theory,leading to the deriva-tion of mathematical expressions for the optimal frequency ratio and damping ratio.Subsequently,the bidirectional vi-bration reduction performance of the Bi-TRMD is analyzed.The results show that under white noise excitation,the Bi-TRMD achieves a bidirectional peak acceleration reduc-tion rate that is 9.92%and 7.79%higher than that of trans-lational tuned mass dampers(TMD)with the same mass.These findings demonstrate that the proposed Bi-TRMD ef-fectively achieves two-directional vibration reduction with a single concave structure,offering superior vibration reduc-tion performance.关键词
Bi-TRMD/TMD/动力特性/轨迹预测/减振参数优化/减振性能Key words
bidirectional tuned rolling mass damper(Bi-TRMD)/tuned mass damper(TMD)/dynamic charac-teristics/trajectory prediction/optimization of vibration re-duction parameters/vibration reduction performance分类
土木建筑引用本文复制引用
宋昱达,李祚华,甯家飞,宋廷苏,滕军..新型Bi-TRMD的动力特性与减振性能[J].东南大学学报（英文版）,2025,41(2):147-155,9.基金项目
The National Key Research and Development Pro-gram of China(No.2022YFC3801201),the National Natural Science Foundation of China(No.51921006,52478505),the Natural Science Foundation of Guangdong Province(No.2022A1515010403),Shenzhen Collaborative Innovation Project(No.CJGJZD20220517142401002). （No.2022YFC3801201）
