Vibration control of beam-TMDI system based on frequency domain analysis method

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (11) : 91-100.

LI Jinhua1,2, CHAI Shizong2, ZHANG Yao2, YU Yong3

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Abstract

Here, tuned mass damper inerter (TMDI) was used to control vibration of beam structure.Analytical expressions for displacement response of beam structure under seismic acceleration excitation and that under moving force were derived.Optimal parameters of beam-TMDI system were given, and the sensitivity of parameters was analyzed.Then, the control effect of TMDI system was studied through numerical analysis, and the vibration reduction effect of TMDI system and that of tuned mass damper (TMD) system were compared.The results showed that the vibration displacement response spectrum of beam structure obtained with the frequency domain method can effectively reflect the displacement response of beam structure; using the augmented Lagrange parametric optimization method can accurately obtain parameters being able to minimize vibration response of beam structure; the sensitivity of TMDI system can be controlled with inertial device, and the latter obviously affects the former’s robustness; the vibration reduction performance of TMDI system is obviously better than that of TMD system.

Key words

beam / seismic acceleration / moving load / frequency domain analysis method / parametric optimization / displacement response

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LI Jinhua1,2, CHAI Shizong2, ZHANG Yao2, YU Yong3. Vibration control of beam-TMDI system based on frequency domain analysis method[J]. Journal of Vibration and Shock, 2021, 40(11): 91-100

References

［1］BEKDAS G, NIGDELI S M.Mass ratio factor for optimum tuned mass damper strategies［J］.International Journal of Mechanical Sciences, 2013, 71(6): 68-84.
［2］HAYASHIKAWA T, WATANABE N.Dynamic behavior of continuous beams with moving loads［J］.Journal of Engineering Mechanics, 1981, 107(1): 229-246.
［3］ANH N D, NGUYEN N X.Design of TMD for damped linear structures using the dual criterion of equivalent linearization method［J］.International Journal of Mechanical Sciences, 2013, 77: 164-170.
［4］KELTIE R F, CHENG C C.Vibration reduction of a mas loaded beam［J］.Journal of Sound and Vibration, 1995, 187(2): 213-228.
［5］SAMANI F S, PELLICANO F.Vibration reduction on beams subjected to moving loads using linear and nonlinear dynamic absorbers ［J］.Journal of Sound and Vibration, 2009, 325(45): 742-754.
［6］JACQUOT R G.Optimal dynamic vibration absorbers for general beam systems ［J］.Journal of Sound and Vibration, 1978, 60(4): 535-542.
［7］MANIKANAHALLY D N, CROCKER M J.Vibration absorbers for hysterically damped mass loaded beams［J］.Journal of Vibration and Acoustics, 1991, 113(1): 116-122.
［8］SUN D C, TONG L Y.A compressional-shear model for vibration control of beams with active constrained layer damping［J］.International Journal of Mechanical Sciences, 2004, 46(9): 1307-1325.
［9］SMITH M C.Synthesis of mechanical networks: the inerter［J］.IEEE Transactions on Automatic Control, 2002, 47(10): 1648-1662.
［10］PAPAGEORGIOU C.SMITH M C.Laboratory experimental testing of inerters［C］//44th IEEE Conference on Decision and Control.Seville: IEEE, 2005.
［11］WANG F C, HONG M F, CHEN C W.Building suspensions with inerters［J］.Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2010, 224(8): 1605-1616.
［12］MARIAN L, GIARALIS A.Optimal design of a novel tuned mass-damper-inerter(TMDI) passive vibration control configuration for stochastically support-excited structural systems［J］.Probabilistic Engineering Mechanics, 2014, 38: 156-164.
［13］GIARALIS A, PETRINI F.Wind-induced vibration mitigation in tall buildings using the tuned mass damper inerter［J］.Structural Engineering, 2017, 143(9): 04017127.
［14］XU K, BI K M, HAN Q.Using tuned mass damper inerter to mitigate vortex-induced vibration of long-span bridges: analytical study［J］.Engineering Structures, 2019, 182: 101-111.
［15］林家浩，张亚辉.随机振动的虚拟激励法［M］.北京: 科学出版社，2004.
［16］LI J H, ZHANG H T.Moving load spectrum for analyzing the extreme response of bridge free vibration［J］.Shock and Vibration, 2020(6): 1-13.
［17］吴春秋，朱以文.大跨度结构TMD减振系统多点激励的地震随机响应分析［J］.地震工程与工程振动，2003, 23(4): 131-135.
WU Chunqiu, ZHU Yiwen.Random seismic response analysis of multi-point excitation in the TMD vibration suppression system of long-span structures［J］.Seismic Engineering and Engineering Vibration, 2003, 23(4): 131-135.
［18］PIETROSANTI D, ANGELIS M D, BASILI M.Optimal design and performance evaluation of systems with tuned mass damper inerter (TMDI)［J］.Earthquake Engineering and Structural Dynamics, 2017, 46(8): 1367-1388.