Structural vibration control using nonlinear damping amplifier friction vibration absorbers  

作　　者：S.CHOWDHURY S.ADHIKARI 

机构地区：[1]Glasgow Computational Engineering Center,James Watt School of Engineering,The University of Glasgow,Glasgow G128QQ,United Kingdom

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第5期965-988,共24页应用数学和力学(英文版)

基　　金：the postdoctoral research grant received from the University of Glasgow for the partial financial support for this research work。

摘　　要：This paper introduces damping amplifier friction vibration absorbers(DAFVAs),compound damping amplifier friction vibration absorbers(CDAFVAs),nested damping amplifier friction vibration absorbers(NDAFVAs),and levered damping amplifier friction vibration absorbers(LDAFVAs)for controlling the structural vibrations and addressing the limitations of conventional tuned mass dampers(TMDs)and frictiontuned mass dampers(FTMDs).The closed-form analytical solution for the optimized design parameters is obtained using the H_(2)and H_(∞)optimization approaches.The efficiency of the recently established closed-form equations for the optimal design parameters is confirmed by the analytical examination.The closed form formulas for the dynamic responses of the main structure and the vibration absorbers are derived using the transfer matrix formulations.The foundation is provided by the harmonic and random-white noise excitations.Moreover,the effectiveness of the innovative dampers has been validated through numerical analysis.The optimal DAFVAs,CDAFVAs,NDAFVAs,and LDAFVAs exhibit at least 30%lower vibration reduction capacity compared with the optimal TMD.To demonstrate the effectiveness of the damping amplification mechanism,the novel absorbers are compared with a conventional FTMD.The results show that the optimized novel absorbers achieve at least 91%greater vibration reduction than the FTMD.These results show how the suggested designs might strengthen the structure's resilience to dynamic loads.

关 键 词：damping amplifier friction vibration absorber(DAFVA) compound damping amplifier friction vibration absorber(CDAFVA) nested damping amplifier friction vibration absorber(NDAFVA) levered damping amplifier friction vibration absorber(LDAFVA) H2 and H∞optimization approaches 

分 类 号：O322[理学—一般力学与力学基础]