被动式动力吸振技术研究进展
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摘要
综述被动式动力吸振技术的研究概况及其发展。根据结构特点和参数形式将动力吸振器分为单自由度型、组合型、多自由度型、连续参数型和非线性参数型等几种类型,针对其安装于不同主振系、在不同激励下的优化设计问题,总结归纳前人的相关研究成果,梳理当前的研究进展,并提炼今后的发展方向。目前用来抑制主振系单个振动模态的单自由度动力吸振器设计理论已经基本成熟,组合型动力吸振器的优化设计问题也得到了较充分的研究,多自由度型、连续型和非线性动力吸振器的设计和应用成为了研究热点。多自由度动力吸振器能够降低吸振代价,提高吸振效率,其结构设计、参数优化和工程应用等问题都有待进一步充分研究。非线性动力吸振器具有更丰富更复杂的动力学行为,有可能产生新现象、新效应,尤其值得更深入地研究。另外,附加多个吸振器后整个系统的动态响应分析方法也是值得关注的问题。
The literature on passive dynamic vibration ab- sorbers (DVA) is reviewed.According to their characteristics of operation,DVAs are categorized as Single degree of freedom DVA (SDOF-DVA),M-SDOF-DVAs,MDOF-DVA,distributed parameter DVA and non-linear DVA.The key achievements on each category of DVAs are summarized and the recent advances are introduced.It is concluded that the designing procedure of SDOF-DVA suppressing one vibration mode of the primary system is well established.Although many approaches have been proposed addressing the optimal design of M-SDOF-DVAs,it is expected that researches on suppressing vibration of structures with multiple DVAs will continue to grow.In addition,efficient and robust reanalysis algorithms for predicting the dynamic response of structures attached multiple absorbers are required.The designing and application of MDOF-DVAs and non-linear DVAs are still open problems. Their physical design,parameter optimization as well as appli- cation prospects are much concerned.Moreover,vibrating sys- tems with non-linear DVAs will present complicated dynamics which are drawing more and more attention.
The literature on passive dynamic vibration ab- sorbers (DVA) is reviewed.According to their characteristics of operation,DVAs are categorized as Single degree of freedom DVA (SDOF-DVA),M-SDOF-DVAs,MDOF-DVA,distributed parameter DVA and non-linear DVA.The key achievements on each category of DVAs are summarized and the recent advances are introduced.It is concluded that the designing procedure of SDOF-DVA suppressing one vibration mode of the primary system is well established.Although many approaches have been proposed addressing the optimal design of M-SDOF-DVAs,it is expected that researches on suppressing vibration of structures with multiple DVAs will continue to grow.In addition,efficient and robust reanalysis algorithms for predicting the dynamic response of structures attached multiple absorbers are required.The designing and application of MDOF-DVAs and non-linear DVAs are still open problems. Their physical design,parameter optimization as well as appli- cation prospects are much concerned.Moreover,vibrating sys- tems with non-linear DVAs will present complicated dynamics which are drawing more and more attention.
引文
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[2]李春祥,熊学玉．结构被动和主动多重调谐质量阻尼器控制策略的发展[J]．四川建筑科学研究,2003,29(2): 88-91．
[3]ORMONDROYD J,DEN HARTOG J P.The theory of the dynamic vibration absorber[J].ASME Journal of Applied Mechanics,1928,50:9-22.
[4]HAHNKAMM E.Die dampfung von fundament schwin- gungen bei veranderlicher Erregergrequenz[J].Ing.Arch., 1932,4:192-201.(in German)
[5]BROCK J E.A note on the damped vibration absorber[J]. ASME Journal of Applied Mechanics,1946,68:A-284.
[6]DEN HARTOG J P.Mechanical Vibrations[M].New York:McGraw-Hill Book Company,fourth edition,1956.
[7]张阿舟,诸德超,姚起航,等．实用振动工程——振动控制与设计[M]．北京:航空工业出版社,1997．
[8]NISHIHARA O,ASAMI T.Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors)[J].ASME Journal of Vibration and Acoustics, 2002,124(4):576-582.
[9]ASAMI T,NISHIHARA O,BAZ A M.Analytical solu- tions to H_∞and H_2 optimization of dynamic vibration ab- sorbers attached to damped linear systems[J].ASME Journal of Vibration and Acoustics,2002,124(2): 284-295.
[10]ASAMI T,NISHIHARA O.Closed-form exact solution to H_∞optimization of dynamic vibration absorbers (applica- tion to different transfer functions and damping systems) [J].ASME Journal of Vibration and Acoustics,2003,125: 398-405.
[11]ASAMI T,NISHIHARA O.Analytical and experimental evaluation of an air damped dynamic vibration absorber: design optimizations of the three-element type model[J]. ASME Journal of Vibration and Acoustics,1999,121(3).. 334-342.
[12]ASAMI T,NISHIHARA O.H_2 optimization of the three-element type dynamic vibration absorbers[J]. ASME Journal of Vibration and Acoustics,2002,124: 583-592.
[13]NISHIHARA O,MATSUHISA H.Design and tuning of vibration control devices via stability criterion[J].Prepr. of Jpn.Soc.Mech.Eng.,1997,10(1):165-168.(in Japa- nese)
[14]REN M Z.A variant design of the dynamic vibration ab- sorber[J].Journal of Sound and Vbration,2001,245(4): 762-770.
[15]LIU K F,LIU J.The damped dynamic vibration absorbers: revisited and new result[J].Journal of Sound and Vibra- tion,2005,284:1 181-1 189.
[16]RANDALL S E,HALSTED D M,TAYLOR D L. Optimum vibration absorbers for linear damped systems [J].Journal of Mechanical Design,1981,103:908-913.
[17]SOOM A,LEE M.Optimal design of linear and nonlinear vibration absorbers for damped systems[J].Journal of Vi- bration,Acoustic,Structure and Reliability in Design, 1983,105:112-119.
[18]PENNESTRI E.An application of Chebyshev's Min-Max criterion to the optimal design of a damped dynamic vi- bration absorber[J].Journal of Sound and Vibration,1998, 217(4):757-765.
[19]伍良生,顾仲权．阻尼动力减振器减振问题的进一步研究[J]．振动与冲击,1994(1):1-7．
[20]宋孔杰．考虑振源阻抗影响的动力吸振器[J]．固体力学学报,1992,13(2):141-147．
[21]王全娟,陈家义,李伟华,等．动力吸振器优化设计的功率流控制策略[J]．振动工程学报,2001,14(4):32-36．
[22]李俊,金咸定．动力吸振的宽带数值优化设计[J]．振动与冲击,2001,2(20):122-125．
[23]LEWIS E H.Extended Theory of the viscous vibration damper[J].ASME Journal of Applied Mechanics,1955: 377-382.
[24]KITIS L,WANG B P,PILKEY W D.Vibration reduction over a frequency range[J].Journal of Sound and Vibration, 1983,89:559-569.
[25]VAKAKIS A F,PAIPETIS S A.The effect of a viscously damped dynamic absorber on a linear multi-degree of freedom system[J].Journal of Sound and Vibration,1986, 105:49-60.
[26]OZER M B,ROYSTON T J.Extending Den Hartog's technique to multi-degree of freedom systems[J].ASME Journal of Vibration and Acoustics,2005,127(4): 341-350.
[27]OZER M B,ROYSTON T J.Application of Sherman- Morrison matrix inversion formula to damped vibration absorbers attached to multi-degree of freedom systems[J]. Journal of Sound and Vibration,2005,283:1 235-1 249.
[28]丁文镜．多自由度振动系统动力调谐消振理论[J]．清华大学学报,1985,25(3):38-47．
[29]梁艳春,工在申．多自由度振动系统动力吸振器优化设计[J]．机械工程学报,1988,24(3):53-57．
[30]OOKUMA S,YAMASHITA M,NAGAMASTU A. Method of estimating equivalent mass of multi-degree-of-freedom system[J].JSME International Journal,1987,30(268):1 638-1 644.
[31]李玩幽,刘妍．动力吸振器优化设计中等效质量的简化求解法[J]．集美大学学报,2000,5(3):50-53．
[32]YOUNG D.Theory of dynamic vibration absorbers for beams[C]//Proceedings of the First U.S.National Con- gress of Applied Mechanics,1952:91-96.
[33]JACQUOT R G.Optimal dynamic vibration absorbers for general beam systems[J].Journal of Sound and Vibration, 1978,60:535-542.
[34]OZGUVEN H N,CANDIR B.Suppressing the (?)rst and second resonances of beams by dynamic vibration absorb- ers[J].Journal of Sound and Vibration,1986,111: 377-390.
[35]MANIKANAHALLY D N,CROCKER M J.Vibration absorbers for hysteretically damped mass-loaded beams [J].ASME Journal of Vibration and Acoustics,1991,113: 116-122.
[36]JORKAMA M,HERTZEN R V.Optimal dynamic ab- sorber for a rotating Rayleigh beam[J].Journal of Sound and Vibration,1998,217(4):653-664.
[37]AL-BEDOOR B O,MOUSTAFA K A,Al-HUSSAIN K M.Dual dynamic absorber for the torsional vibrations of synchronous motor-driven compressors[J].Journal of Sound and Vibration,1999,220(4):729-748.
[38]JACQUOT R G.Suppression of random vibration in plates using vibration absorbers[J].Journal of Sound and Vibration,2001,248(4):585-596.
[39]RADE D A,STEFFEN V J.Optimisation of dynamic vibration absorbers over a frequency band[J].Mechanical Systems and Signal Processing,2000,14:679-690.
[40]吴崇健,骆东平,杨叔子,等．离散分布式动力吸振器的设计及在船舶工程中的应用[J]．振动工程学报,1999, 12(4):24-30．
[41]SNOWDON J C.Vibration and shock in damped me- chanical systems[M].New York:John Wiley & Sons. 1968.
[42]IWANAMI K,SETO K.Optimum design of dual tuned mass dampers and their effectiveness[J].Proceedings of the JSME(C),1984,50(449):44-52.(in Japanese)
[43]XU K,IGUSA T.Dynamic characteristics of multiple substructures with closely spaced frequencies[J].Earth- quake Engineering and Structural Dynamics,1992,21: 1 059-1 070.
[44]IGUSA T,XU K.Vibration control using multiple tuned mass dampers[J].Journal of Sound and Vibration,1994, 175(4):491-503.
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