周向长弧形弹簧式双质量飞轮非线性扭转减振特性研究
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摘要
随着车辆发动机动力传动系统技术不断更新,发动机的气缸数逐渐减少,输出转矩不断增大,导致一定程度上增加发动机动力传动系统的不规则扭转振动。同时受燃油价格不断升高的影响,对动力传动系统机械传递效率的要求也不断提高。针对上述现状,双质量飞轮扭转减振器(DMF)已经被证实能够有效地衰减扭转振动,提高发动机动力传动系统燃油经济性。但由于国外技术封锁,目前市场上的DMF大部分都是从国外进口,国内汽车厂家和研究机构正投入大量精力于DMF研发。因此针对双质量飞轮扭转减振特性的研究具有重要的理论价值与实际意义。
     本课题以周向长弧形弹簧式双质量飞轮(DMF-CS)为研究对象,通过归纳总结现有研究现状与问题,对DMF-CS的非线性扭转减振特性进行深入研究。主要研究内容如下:
     首先,根据发动机动力传动系统的结构特征,以VM型发动机传动系统为研究平台,建立DMF-CS相关多自由扭转振动模型,分析DMF-CS转动惯量、扭转刚度等性能参数对系统固有扭振特性的影响,研究DMF-CS系统的扭转隔振特性,为DMF-CS转动惯量、扭转刚度匹配设计提供依据。
     其次,分析车辆行驶过程中不可避免的扭振工况特点,研究DMF-CS系统非线性扭转阻振特性。在周向长弧形弹簧线性扭转刚度的分析基础之上,结合DMF-CS粘性阻尼特性,推导DMF-CS非线性扭转阻尼特性,进一步引入Bouc-Wen迟滞模型,建立DMF-CS非线性动力学模型,并运用虚拟仿真技术对模型进行参数识别,验证了理论研究。
     然后,以集成离心摆扭转吸振器的周向弧形弹簧型双质量飞轮(DMF-CS&CPVA)为研究对象,对复合DMF-CS系统的扭转吸振特性进行研究。通过归纳CPVA的工作原理、结构特征以及研究方法,建立DMF-CS&CPVA系统广义坐标下的动力学模型,采用对比分析法,对DMF-CS&CPVA的扭转减振特性以及匹配不同类型CPVA的非线性动力学特性进行了研究。
     最后,利用DMF-CS发动机台架试验和DMF-CS动态性能试验验证理论研究。并结合对DMF-CS扭转隔振、扭转阻振、扭转吸振特性的理论研究成果,提出一套DMF-CS扭转减振特性设计流程,为DMF-CS的研究提供参考依据。
With the development of auto powertrain technology, the engine trend to have fewer cylinder and larger torque, which leads to increased torsional vibrarions in the drivetrain system. In addition, the raise of fuel consumption requires auto transsimion to improve mechanical efficiency. Dual mass flywheel (DMF) offers adequate potential to deal with above phenomenon. It has been proven that DMF is the most effective system in pratical for reduce torsional vibrations while lowering fuel economy in the drivertrain. Because of the blockade on new technology, DMFs on the domestic market are mostly imported from aboad, some domestic atuo manufacturers and research institutions are devoting a lot of energy to DMF research and development. Therefore, perfecting the research of DMF torsional vibration damping characteristics has great theoretical value and practical significance.
     Based on domestic and abroad research results and development trend about DMF, the circumferential arc spring dual mass flywheel (DMF-CS) is taken for the study object in this thesis, the nonlinear torsional vibration damping characteristics of DMF-CS is further studied, including related research as follow.
     Firstly, investigating structure characteristics of powertrain and taking VM engine transimission as research fundmental system, the multi-freedom torsional vibration model related to DMF-CS is established. The influence on the natural characters of torsional vibration of powertrain by moment of inertia parameters and torsional rigidity of DMF is analyzed. Verifying DMF has the effect of torsional vibration isolation, which provides thereotical references for matching DMF for powertrain system.
     Secondly, according to analysis of significant torsional vibration characteristics for different operating modes of vehicles, the DMF performance of reducing torsional vibration is investigated. Combined with linear torsional rigidity and viscous damping characteristics of the circumferential arc spring couple, a set of analytical formula of DMF-CS damping characteristics are derived. Furthermore, based on Bouc-Wen model, the hysteresis model of DMF is established to describe the vibration reduction characteristics, adpoting virtual simulation technology is to prove thereotical study.
     Thirdly, DMF with centrifugal pendulum torsion vibration absorber (DMF-CS&CPVA) system is taken as research subject. By summarizing the work principle, structural features and research methods of CPVA, the dynamic model of DMF-CS&CPVA system is established under generalized coordinates. Using comparative analysis method, the DMF-CS&CPVA performance of vibration absorption is inverstigated. Further more, the nonlinear dynamic charactisitics of DMF-CS&CPVAs integrating with different CPVA type is comparatively analyzed.
     Finally, using DMF-CS engine test bed and DMF-CS dynamic performance tests to verify the theoretical study. And combined with reasearh results of the DMF-CS torsion vibration isolation, torsional vibration damper, torsional vibration absorption properties, proposed a design process for DMF-CS characteristics of torsional vibration reduction, which is valuable for the research and development of DMF-CS in domestic.
引文
[1]陈家瑞.汽车构造[M].北京:机械工业出版社,2005.18-102
    [2]石美玉.汽油发动机[M].北京:化学工业出版社,2005.3
    [3]赵雨旸.柴油发动机[M].北京:化学工业出版社,2004.12
    [4]中国汽车技术研究中心.2006年中国汽车工业年鉴[M].北京:中国汽车工业协会,2006.9
    [5]Biermann J, Hagerodt B. Investigation of Clonk Phenomenon in Vehicle Transmissions Measurement, Modeling and Simulation[C]. Proceeding of ImechE conference on Multi-body Dynamics Monitoring and Simulation Techniques, London:Professional Engineering Publishing,1997:315-323
    [6]J. H. Griffin, W-T Wu, J. A. Wickert, J. B. Brown. Torsional vibration of drive trains[C].SAE Technical Paper Series 941697
    [7]Muller, B. LuK torque converter-strategic converter for new automatic transmissions[J].VDI Report No.2029, Diisseldorf,2008
    [8]Shell Passenger Car Scenarios up to 2030-Facts, Trends and Opti ons for Sustainable Auto Mobility. http://www.shell.de/pkwszenarien
    [9]Stief H., Pflug R., Schmidt T., Fechler C.. Belt Drive Systems-Potenti al for CO2 reductions and how to achieve them[J].9th LuK Symposium,2010
    [10]Albert Albers.Advanced Development of Dual Mass Flywheel(DMFW)Design-Noise Control for Today's Automobiles[C].5th LuK Symposium,1994.
    [11]Zink M., Hausner M., Welter R., Shead R.. Clutch and release system-Enjoyable clutch actuation! [J].8th LuK Symposium,2006
    [12]Freitag J., Gerhardt F., Hausner M., Witt-mann C.. The Clutch System of the Future-More than Separating and Connecting [J].9th LuK Symposium,2010
    [13]林静.降噪和降振技术一在新一代混合动力车上的应用[J].汽车与配件,2006(29):30-33
    [14]Reik W., Fidlin A., Seebacher R.. Good Vibrations-Bad Vibrations[J]. VDI ConferenceVibrati ons in Drives,2009
    [15]Hans jiirgen Drexl. Torsional Dampers and Alternative Systems to Reduce Driveline Vibrations [C]. SAE Technical Paper Series 870393
    [16]Klaus Steinel, Gerhard Tebbe. New Torisonal Damper Concept to Reduce Idle Rattle in Truck Transmissions[C]. SAE Technical Paper Series 2004-01-2722.
    [17]O.Tangasawi, S.Theodossiades, H.Rahnejatb. Lightly loaded lubricated impacts Idle gear rattle[J]. Journal of Sound and Vibration,2007:418-430.
    [18]S.Shih, J.Yruma, P.Kittredge. Drivetrain noise and vibration trouble shooting[C]. SAE Technical Paper Series 2001-01-2809.
    [19]S.N.Dogan, G.Lechner. Maβnahmen zur verringerung von Losteilschwingungen in Fahrzeuggetrieben [J]. ATZ Autombiltechnische Zeitschrift 100(10),1998:710-716.
    [20]Toshiya Sakai, Ryutaro Kunimasa, Naohito Kubodera, Yoshinori Hirano, Hirotaka Kaneko. Analysis of Manual Transmission Gear Rattle Extension to Serial Multi-meshing Gear Rattle[J]. SAE20054798:511-514.
    [21]In-Soo Suh, Jeff Orzechowski. Drivetrain Torsional and Bending Vibration for a RWD Vehicle Interior Noise Development[C]. SAE Technical Paper Series 2003-01-1496.
    [22]Toshio Sakata. Analysis of the Transmission of Engine Vibration to the Body by the Mechanical Impendence method[C].SAE paper 740163
    [23]Sheng-Jiaw Hwang, Joseph L. Stout and Ching-Chung Ling.Modeling and Analysis of Powertrain Torsional Response[C]. SAE Technical Paper Series 980276.
    [24]Peter Schwibinger, David Hendrick, Wel Wu, Yasuhiro Imanishi. Reduction of Vibration and Noise in the Powertrain of Passenger Cars with Elastomers Dampers[C]. SAE Technical Paper Series 910616.
    [25]Lu zhen-hua. Theoretical study of structural modification control and analytical model reduction of torsional vibration in FR-type automotive power drivetrain[J].International Journal of Vehicle Design,1998,19(4):436-447.
    [26]Tomoaki K., Katsuhiko W.. Three Dimensional Vibration Characteristics of High-Speed Automobile Diesel Engine Crankshaft System with a Viscous Fluid Damper[C]. SAE Technical Paper Series 2002-01-0165.
    [27]何煦.某型轿车传动系统扭转振动的研究[D].上海交通大学,2008
    [28]Ford Motor Company. Vehicle NVH test procedure (VNVHTP#28), Vehicle operation-idle sweep[C]. Corporate Engineering Test Procedure,00.00-R-492.
    [29]任少云,孙承顺,张建武.某牵引车传动系起步扭转振动动态响应分析[J].上海交通大学学报,2003(11):1180-1183.
    [30]D.Centea, H.Rahnejat, M.T.Menday. Non-linear multi-body dynamic analysis for the study of clutch torsional vibrations(judder)[J].Applied Mathematical Modelling,2001:177-192.
    [31]Sheng-Jiaw Hwang,Joseph L.Stout and Ching-Chung Ling.Modeling and Analysis of Powertrain Torsional Response[C].SAE Technical Paper Series 980276.
    [32]Farshidianfar A, Ebrahimi M, Bartlett and H. Hybrid modeling and simulation of the torsional vibration of vehicle driveline systems[J]. Proceedings of the Institution of Mechanical Engineers, Part D:Journal of Automobile Engineering,2001,215(2):217-228.
    [33]舒红宇,张伟伟,雷宝云.路面激励下汽车传动系统的随机扭转振动分析[J].解放军理工大学学报(自然科学版),2009,(01):87~91
    [34]Fidlin A., Seebacher R.. DMF Simulation Techniques[C].8th LuK Symposium,2006
    [35]李伟,史文库.双质量飞轮(DMF)的研究综述[J].振动与噪声控制,2008,2(5):1~5
    [36]Arno Sebulke. The Two-Mass Flywheel-A Torsional Vibration Damper for the Power Train of Passenger Cars-State of the Art and Further Technical Development[C]. SAE 870394
    [37]Reik W.. Torsional Vibration Isolation in the Drive Train-An Evaluative Study[C].4th LuK Symposium,1990
    [38]陈雷.轿车双质量飞轮动力特性研究[D];武汉理工大学;2009年
    [39]徐世彦.汽车动力传动系双质量飞轮式扭转减振器的研究[D].吉林大学,2007
    [40]陈雷,邓明然,江征风.双质量飞轮性能参数优化设计方法[J]。内燃机学报,2012(03):277~283
    [41]钱人一.德国鲁克公司的双质量飞轮(上)[J].汽车与配件,2006,15(05):35~37
    [42]钱人一.德国鲁克公司的双质量飞轮(下)[J].汽车与配件,2006,11(12):44~47
    [43]唐明祥,董桂军,马中威.双质量飞轮的典型结构及特点[J].汽车维修,2007,9(3):1-4
    [44]德国LUK公司的双质量飞轮[EB/OL] (2008-3-18) [2008-5-27]. http://www.carstudy.cn/bbs/Thread.asp?tid=354
    [45]Wolfgang Reik, Roland Seebacher, Ad Kooy. The Dual Mass Flywheel[C].6th LuK Symposium,1998:69-93
    [46]LuK的第5000万个双质量飞轮在德国下线[EB/OL](2008-01-07)[2008-12-22]. http://info.qipei.hc360.com/2008/01/07085590300.shtml.
    [47]何涛Sachs行星双质量飞轮DMF[J].汽车与配件,2005,22(35):42
    [48]张铁山.液压弹簧式双质量飞轮的研究[J].上海工程技术大学学报,2000,14(04):301~304
    [49]Bernd Stockman, Bcrnhard Schierling. Two-Mass Flywheel[P]. United States Patent Application Publication, US005493936A,1996
    [50]史文库,王砚红.双质量飞轮式扭转减振器[P].中华人民共和国知识产权局,CN2849323,2006..
    [51]赵金霞,关跃.双质量飞轮[P].中华人民共和国知识产权局,CN2651512Y,2004.
    [52]Reihard Feldhaus, et al. Two-Mass Flywheel [P]. United States Patent, US005307710A, 1994
    [53]Schaeffler Gruppe LuK. LuK双质量飞轮介绍[R].一汽集团技术中心,2008.12
    [54]Viktor Kuhne, Bopfingen. Viscous Damper Assembly for a Flywheel Assembly Including Friction Plates[P]. United States Patent Application Publication, US5088964,1992.
    [55]Schaeffler Gruppe LuK. Dual-Mass Flywheel Technology Failure Diagnosis/Special Tool/User Instructions [R].2012
    [56]Kroll J., Kooy A., Seebacher R., Land ahoy?-Torsional dampers for engines of the future [C].9th LuK Symposium,2010
    [57]徐少波.双质量飞轮减振弹簧特性研究[D].武汉:武汉理工大学机电工程学院,2009
    [58]周建刚.长螺旋弹簧结构的双质量飞轮仿真分析[J].机械工程师,2006,24(4):24~26
    [59]吕振华,陈涛.双体飞轮-周向弹簧型扭转减振器弹性特性设计研究[J].汽车工程,2006,28(1):73~77
    [60]宋立权,李亮,尹玉明,罗书明,田宏艳,樊照钟.基于形状约束的双质量飞轮设计理论研究[J].机械工程学报,2012,48(1):111-118.
    [61]刘志勇,夏毅敏,黎孟珠,苏庆勇.汽车离合器从动盘减振弹簧的结构改进[J].机械设计,2007,24(6):66-68.
    [62]卢玉东.多级非线性双质量飞轮减振器的研究[D].长春:吉林大学,2008
    [63]吕振华,吴志国,陈涛.双质量飞轮-周向短弹簧型扭转减振器弹性特性设计原理及性能分析[J].汽车工程,2003,25(5):493-497.
    [64]李伟.汽车传动系用双质量飞轮的设计方法与扭转隔振特性研究[D].吉林大学,2009
    [65]Kooy A., Gillmann A., Jackel J., Bosse. M.. DMF-Nothing New? [J].7th LuK Symposium, 2002
    [66]王东辉.双质量飞轮的汽车动力传动系扭振特性分析[D].长春:吉林大学,2005.7
    [67]李铮.DMF350双质量飞轮的开发研究[D].长春:吉林大学,2005.
    [68]刘云.双质量飞轮系统扭振特性研究[D].武汉理工大学,2009
    [69]徐世彦.汽车动力传动系双质量飞轮式扭转减振器的研究[D].吉林大学,2007
    [70]王砚红.汽车动力传动系双质量飞轮式扭转减振器的结构设计与动力学特性研究[D].长春:吉林大学汽车工程学院,2005.7
    [71]丁磊.客车双质量飞轮的设计和研究[D].长春:长春理工大学机械设计及理论专业,2008.12
    [72]章文强.使用双质量飞轮的动力传动系手扭振特性研究及其关键参数优化[D].同济大学,2008.03
    [73]Kim, Jungyun. Launching Performance Analysis of a Continuously Variable Transmission Vehicle with Different Torsional Couplings[J]. Journal of Mechanical Design, Transactions of the ASME,2005,127 (2):295-301
    [74]Hartmut Bach, Wolf gang Kucks, et al. Simulation of Various Operating Conditions of Powertrains with a Dual Mass Flywheel [J]. Drive System Technique,2008,22 (3):3-16
    [75]Walter Andreas, Lingenfelser Christian, Kiencke Uwe, Jones Stephen, Winkler Thomas. Cylinder balancing based on reconstructed engine torque for vehicles fitted with a dual mass flywheel (DMF) [J]. SAE International Journal of Passenger Cars-Electronic and Electrical Systems,2009.1(1):810-819.
    [76]宋立权,周建东等.摩擦式双级分段变刚度汽车双质量飞轮设计理论研究及应用[J].机械工程学报,2012.08(Vo1.15):150~157
    [77]宋立权,周建东等.引入摩擦的周向短弹簧汽车双质量飞轮分析模型及扭振固有特性[J].机械工程学报,2009.11(Vo1.45):99~107
    [78]吴飞.双质量飞轮传动轴系扭振分析与试验研究[D].武汉理工大学,2010.
    [79]Stephane Sangue, Gerard Lepoint, Tangi Le Bournault, et al. New Approach to Measure Instantaneous Angular Behaviour of a Dual Mass Flywheel[C]. Seoul 2000 FISITA World Automotive Congress, F2000A059,2000
    [80]周斌.双质量飞轮减振系统测试技术研究[D].武汉理工大学,2009.
    [81]Schaper Ulf, Sawodny Oliver, Mahl Tobias, Blessing Uli. Modeling and torque estimation of an automotive dual mass flywheel [J]. Proceedings of the American Control Conference, 2009:1207-1212.
    [82]S Theodossiades, M Gnanakumarr, H Rahnejat, P Kelly. Effect of a dual-mass flywheel on the impact-induced noise in vehicular powertrain systems [J]. Automobile Engineering, 2006.220(6):747-761.
    [83]江征风,吴波,卢红,陈雷,吴飞,周斌,郑钧宜,徐汉斌,邹琳,刘云.双质量飞轮扭转减振器多项性能的试验方法及试验台[P].中国发明专利,ZL200810046858.6,2009-11-04
    [84]江征风,吴波,卢红,陈雷,吴飞,周斌,郑钧宜,徐汉斌,邹琳,刘云.双质量飞轮扭转振动的激振方法及激振器[P].中国发明专利,ZL200710168335.4,2009-11-04
    [85]Singiresu S. Rao. Mechanical Vibrations[M].Person Education, Inc.
    [86]焦常科.含非线性粘滞阻尼器结构的动力分析[D].南京理工大学,2006
    [87]赵亮.车辆悬架系统中新减振元件设计和减振控制算法研究[D].湖南大学,2008
    [88]王影.随机激励下汽车悬架的非线性特性分析[D].天津大学,2005
    [89]李韶华,杨绍普.滞后非线性模型的研究进展[J].动力学与控制学,2006.03,Vo1.4,No.1:8-17
    [90]唐明祥,唐心龙,董桂军.弹性非线性双质量飞轮(DMF)参数对减振影响的仿真研究[J].噪声与振动控制,2010.2: 102~105
    [91]史文库,龙岩,卢玉动.多级非线性双质量飞轮参数设计和优化[J].振动与冲击,Vo1.28, No.5,2009:92~98
    [92]何泽海.双质量飞轮形状约束的非线性扭矩特性研究[D].重庆大学,2010
    [93]Hoon Wee, Yoon Young Kim, et al. Nonlinear rate-dependent stick-slip phenomena: modeling and parameter estimation[J]. International Journal of Solids and Structures,38 (2001):1415-1431
    [94]龚宪生,谢志江,骆振黄,赵玫.非线性隔振器阻尼特性研究[J].振动工程学报,2001.09,Vo1.14 No.3:334~338
    [95]李伟,龙岩,史文库.离心摆式DMF-CS扭转减振器隔振性能分析[J],中国机械工程,2009.08,Vo1.20,No.15:8-17
    [96]A. S. Alsuwaiyan and S. W. Shaw. Performance and Dynamic Stability of General-Path Centrifugal Pendulum Vibration Absorbers[J]. Journal of Sound and Vibration, 252(5):791-815,2002.
    [97]A. G. Haddow and S. W. Shaw. Centrifugal Pendulum Vibration Absorbers:An Experimental and Theoretical Investigation[J]. Nonlinear Dynamics,34:293-307,2003.
    [98]C.-P. Chao, S. W. Shaw, and C.-T. Lee. Stability of the Unison Response for a Rotating System with Multiple Tautochronic Pendulum Vibration Absorbers[J]. Journal of Applied Mechanics,64:149-156, March 1997.
    [99]C.-P. Chao, C.-T. Lee, and S. W. Shaw. Non-Unison Dynamics of Multiple Centrifugal Pendulum Vibration Absorbers [J]. Journal of Sound and Vibration,204(5):769-794,1997.
    [100]C.-T. Lee and S. W. Shaw. The Non-Linear Dynamic Response of Paired Centrifugal Pendulum Vibration Absorbers[J]. Journal of Sound and Vibration,203(5):731-743,1997.
    [101]C.-T. Lee and S. W. Shaw. Torsional Vibration Reduction in Internal Combustion Engines Using Centrifugal Pendulums [J]. In Vibration of Nonlinear, Random, and Time-Varying Systems, volume 3, pages 487-492,1995.
    [102]C.-P. Chao and S. W. Shaw. The Dynamic Response of Multiple Pairs of Subharmonic Torsional Vibration Absorbers [J]. Journal of Sound and Vibration,231(2):411-431,2000.
    [103]A. S. Alsuwaiyan and S. W. Shaw. Localization of Free Vibration Modes in Systems of Nearly Identical Vibration Absorbers [J]. Journal of Sound and Vibration,228(3):703-711, 1999.
    [104]T. M. Nester, A. G. Haddow, and S. W. Shaw. Vibration Reduction in a Variable Displacement Engine Using Pendulum Absorbers [J]. In Noise & Vibration Conference and Exhibition. SAE International, May 2003.
    [105]《汽车工程手册》编辑委员会.汽车工程手册·设计篇[M].北京:人民交通出版社,2001.
    [106]汪长民,杨继贤等.车辆发动机动力学[M].北京:国防工业出版社,1981.9.
    [107]王祺.内燃机轴系扭转振动[M].北京:国防工业出版社,1985.11.
    [108]O.Tangasawi,S.Theodossiades,H.Rahnejatb.Lightly loaded lubricated impacts Idle gear rattle[J].Journal of Sound and Vibration,2007:418-430.
    [109]吕振华,冯振东,邬惠乐.结构固有振动特性设计的最优动力学修改原理[J].汽车工程,1991(3):137-143.
    [110]杨从洛,徐卫国.车用发动机曲轴扭振与整车传动系的相互关系[J].汽车技术,2000(4):14-17.
    [111]Kouji Fujii. A simulation of crankshaft bending vibration[C].SAE paper 912495.
    [112]钱人一.德国鲁克公司的双质量飞轮(上)[J].汽车与配件,2006(5):35-37.
    [113]Lu Zhenhua, Chen Tao. Design and Analysis of A Dual Mass Flywheel-Circumferential Spring Torsional Damper. Proceedings of the Eleventh International Pacific Conference on Automotive Engineering. Shanghai,2001
    [114]陈涛,吕振华,苏成谦.弧形螺旋弹簧弹性特性分析方法研究[J].中国机械工程,2006(3):P493-495.
    [115]张英会等.弹簧手册(第2版)[M].机械工业出版社,2008
    [116]温诗铸,黄平.摩擦学原理[M].北京:清华大学出版社,2008.9.
    [117]李光明,甘礼华,刘仕姮,等.铝基润滑脂凝胶的制备、结构及流变性[J]同济大学学报(自然科学版),2000,28(2):194~196.
    [118]Caughey T K. Random excitation of a system with bilinear hysteresis[J]. ASME Journal of Applied Mechanics,1960,12:649-652.
    [119]Li Z, Katukura H, Izumi M. Synthesis and extension of one-dimension non-linear hysteretic models [J]. ASCE Journal of Eng.Mech.1991,117:100-109.
    [120]Iwan W, Lutes L. Response of the bilinear hysteretic system to stationary random excitation [J]. Journal of Acoust. Soc. Am.1968,43:545-552.
    [121]Wen Y K. Method for random vibration of hysteretic systems [J]. Proceedings of ASCE, Journal of Engineering Mechanics,1976,12:249-263.
    [122]Dobson S, Noori M, Hou Z, Dimentberg, M, Baber T. Modeling and random vibration analysis of SDOF system with asymmetric hysteresis [J]. International Journal of Non-Linear Mechanics,1997,32(4):669-680.
    [123]Tinker, M.L., Cutchins, M.A.. Damping phenomena in a wire rope isolation system [J]. Journal of Sound and Vibration 1992, No.157:7-18.
    [124]Tinker, M.L., Cutchins, M.A.. Instabilities in a non-linear model of a passive damper [J]. Journal of Sound and Vibration 1994, No.176:415-428.
    [125]Fletcher, R.. Practical Methods of Optimization, vol.1 [M]. Wiley, New York,1980.
    [126]Matthias Zink, Markus Hausner. Luk clutch system and torsional dampers [C].9th LuK Symposium,2010.
    [127]W. Ker Wilson. Practical Solution of Torsional Vibration Problems:With Examples from Marine, Electrical, Aeronautical and Automobile Engineering Practice, volume four:Devices for Controlling Vibration. Chapman & Hall Ltd,3rd edition,1968.
    [128]A. Emmerson. Things are seldom what they seem-Christian Huygens, the Pendulum and the Cycloid[R].1956.12.
    [129]A. S. Alsuwaiyan. Performance, Stability, and Localization of Systems of Vibration Absorbers [D]. Michigan State University,1999.
    [130]D. E. Newland. Nonlinear Vibrations:A Comparative Study with Applications to Centrifugal Pendulum Vibration Absorbers [D]. Massachusetts Institute of Technology, 1963.
    [131]A. H. NAYFEH, D. T. MOOK. Nonlinear Oscillations [M]. WILEY-VCH Verlag GinbH & Co.1994.
    [132]H. H. Denman. Tautochronic Bifilar Pendulum Torsion Absorbers for Reciprocating Engines. Journal of Sound and Vibration,159(2):251-277,1992.
    [133]李渤仲,陈之炎,应启光.内燃机轴系扭转振动北京:国防出业出版社,1984.
    [134]Draper, N.R., Smith, H.. Applied Regression Analysis [M]. Wiley, New York,1981.

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