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1、See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/228752291Cable Vibration Control with a TMD-MR DamperSystem: Experimental ExplorationArticle in Journal of S
2、tructural Engineering · May 2007DOI: 10.1061/(ASCE)0733-9445(2007)133:5(629)CITATIONS19READS1454 authors, including:Some of the authors of this publication are also working on these related projects:Harvesting energ
3、y from ambient environments View projectResilience of Residential Buildings in Coastal Community View projectC. S. CaiLouisiana State University264 PUBLICATIONS 2,578 CITATIONS SEE PROFILEAll content following this p
4、age was uploaded by C. S. Cai on 10 April 2015.The user has requested enhancement of the downloaded file.?Stockbridge 1925?. Although TMDs have proven their efficiency, improvements are needed since the vibration reducti
5、on effect of TMDs is usually frequency sensitive. When the excitation is a narrowband vibration or the cable vibration is mainly from one mode, the natural frequency of TMDs can be tuned to the targeted frequency, and in
6、 this case the vibration reduction effect of TMDs is usually satisfactory. However, when the excitation is a wide- band vibration or the cable vibration is composed of several equally important modes or the natural frequ
7、ency of TMDs is far from that of the cable, the vibration reduction effectiveness will be reduced considerably. Since the natural frequency between the preset TMD and the cable may mismatch for many reasons, per- haps du
8、e to the unpredicted nonlinearity of the actual cable, the difference between the calculation model and the prototype cable, or the time-dependent attribute of the cable force, it is usually difficult to achieve the expe
9、cted optimal vibration reduction ef- fectiveness in field applications. In this paper a TMD-MR damper system is proposed to im- prove the TMD performance and, subsequently, the dynamic characteristics of the cable-TMD-MR
10、 system are investigated ex- perimentally. This proposed TMD-MR damper system has the combined advantages of both TMDs and MR dampers. On one hand, TMDs can be placed anywhere along the cable, which over- comes the defic
11、iency of conventional mechanical dampers. On the other hand, a MR damper can absorb energy directly by providing continuously adjustable damping and can change the stiffness in a small range as well, which can help the w
12、hole damper system bemore effective under different vibrations. As a result, a high damping efficiency may be achieved, overcoming the drawbacks of the frequency sensitivity of the TMDs and the position restric- tion of
13、the MR dampers. TMDs with variable stiffness was stud- ied for building vibration control ?Nadathur and Nagarajaiah 2004; Nagarajaiah and Nadathur 2005?. The present study focuses on a conceptual exploration of the TMD-M
14、R damper system for cable vibration mitigation through an experimental approach. Further studies will be carried out for actual applications of the proposed concept for cable vibration mitigation.Concept and Principle of
15、 the TMD-MR Damper SystemTMDs ?or tuned vibration absorbers? have been studied exten- sively in structural vibration control ?Hartog 1956; Beards 1996?. The concept of vibration control by TMDs can be stated as follows.
16、The interaction between any two elastic bodies can be represented by a two-mass system as shown in Fig. 1. Under the excitation of a sinusoidal force F sin??t? acting on mass 1, the vibration amplitudes of this two-mass
17、system are derived asX1 = Fm2??m22 ? ?2??k1 + k2 ? m1?2??k2 ? m2?2? ? k2 2,X2 = Fm2?m22?k1 + k2 ? m1?2??k2 ? m2?2? ? k2 2 ?1?where ?m12 =k1/m1 and ?m22 =k2/m2. It can be seen from Eq. ?1?Fig. 1. Two-mass system Fig. 2. T
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