双质量飞轮轴系扭振分析与试验研究
|
摘要
汽车动力传动轴系结构复杂,其动力来源于汽车发动机,而汽车发动是一个固有的扭振激振源,使得传动轴系成为了多自由度振动系统,扭振是振动和噪声的主要来源,直接影响着现代乘用车的品质。双质量飞轮介于发动机与传动轴系之间,它不但具有传统飞轮的功能,还可通过变化质量和刚度来调整传动轴系的扭振固有特性,并利用自身的阻尼结构降低轴系的振幅。可以有效地吸收和衰减发动机输出振动,提高传动轴系运转的平顺性,它已成为目前改善汽车动力传动系统扭振特性最有效的手段之一。因此深入研究汽车双质量飞轮动力传动轴系扭振特性,为提高双质量飞轮在汽车动力传动系统中的扭振减振性能提供理论及技术上的支持具有十分重要的理论价值及实际意义。
本文主要工作与创新如下：
1、建立了分档位的双质量飞轮轴系扭振计算模型。运用扭振系统当量建模的理论,结合双质量飞轮动力传动轴系结构特点,采用有限元分析等方法,对发动机、变速箱、传动轴、驱动桥等部件及整车质量的转动惯量、扭转刚度进行等效当量转化,着重对调速系统进行了分析,建立了汽车动力传动系统不同档位下的扭振动力学计算模型。
2、分析了双质量飞轮轴系自由扭振特性。以VM25C乘用车柴油机匹配LUK1005双质量飞轮扭振减振器的轴系为研究对象,采用系统矩阵法对其自由扭振进行分析和计算,得到了固有频率与振型。
3、对双质量飞轮轴系强迫扭振特性进行了分析。以双质量飞轮扭振减振器轴系为研究对象,通过分析汽车传动轴系激振的来源,确定了发动机内气体压力变化所产生的激振力矩及其运动部件转动惯量所产生的激振力矩,对发动机激振源进行了简谐分析,进而对在发动机激振下的轴系强迫扭振进行了计算分析,得到了轴系的扭振幅值。
4、开发了汽车传动轴系扭振特性分析软件,实现了轴系扭振固有频率计算、振型显示、临界转速计算等功能。
5、研发并搭建了双质量飞轮轴系扭振试验台。试验台以VM发动机为激振源,以模拟实际轴系扭振特性为目的。为了使该试验台能够模拟多种车型的传动轴系的动力学特性,通过分析惯量轮盘组的质量转换、临界转速及运动平衡问题,设计出惯量轮盘组模拟惯量系统。在修正了试验台轴系的刚度后确定了试验台的结构。并通过对传动轴扭振节点的理论分析,得到了各阶次下扭振信号的测量位置。
6、对双质量飞轮轴系扭振特性进行了试验验证。进行了怠速时轴系扭振的试验,各工况下轴系扭振的比较试验及扭振试验台测试误差分析。试验表明,该试验台能够模拟多种车重1500KG-2000KG的车型在不同负载情况下不同挡位、不同转速的轴系扭振特性。
The structure of automobile power transmission shaft system is very complex, and its power comes from automobile engines which is a source of torsional vibration. The drive shaft is a multi-degree of freedom vibration system and torsional vibration is a main source of vibration and noise, which becomes a direct impact on the quality of modern passenger cars. Dual-mass flywheel is between engine and driving shaft system, so it not only has traditional function of the flywheel, but also can adjust natural characteristics of torsional vibration by changing the mass and rigidity of the Department. Its own damping structure can also reduce the amplitude, so dual-mass flywheel can effectively absorb and attenuation engine vibration and enhance the smoothness of operating shaft system. It has become one of the most effective methods for improving vehicle powertrain torsional vibration characteristics. Further study of automotive power transmission shaft torsional vibration characteristics with dual-mass flywheel can provide theoretical and technical support to improving torsional vibration damping properties of automotive powertrain with dual-mass flywheel. It has great theoretical value and practical significance.
The following tasks and innovations have been completed:
1. Torsional vibration model of dual-mass flywheel under different stalls has been established. Based on equivalent torsional vibration system theory and combined with structure features of power system with dual-mass flywheel, the finite element analysis method is used for being equivalent conversion to the moment of inertia and torsional stiffness of parts and whole vehicle quality, such as the engine, gearbox, drive shaft, drive bridges, and emphatically for analysing speed control system. The mechanical computing model of automotive driveline torsional vibrations under different stalls is established.
2. The free torsional vibration characteristics of dual-mass flywheel shaft are analyzed. The researched object is the shaft of VM25C Diesel passenger vehicles matching LUK1005dual-mass flywheel torsional vibration damper. The free torsional vibration has been analysed and calculated by adopting system matrix method, then natural frequencies and vibration modes have been obtained.
3. Forced torsional vibration characteristics of dual-mass flywheel shaft is analyzed. The researched object is the shaft of dual-mass flywheel torsional vibration damper. By analyzing the excitation source of automotive transmission system it is determined that the exciting moment of force generated by gas pressure changes inside the engine and moment of inertia changes of its motion part, and then the shaft torsional vibration under excitation force of the engine is calculated and analysed. The torsional amplitude has been calculated.
4. The analysis software for torsional vibration characteristics of automobile transmission shaft system has been developed. It has many functions such as calculation of shaft's natural frequency, and display of vibration mode, calculation of critical speed, etc.
5. The test-bed of the shaft with dual-mass flywheel torsional vibration is designed and built. Excitation source is the VM engine, and its power is 105KW in order to simulate the shaft actual torsional vibration characteristics. In order to make the test-bed capable of simulating a variety of models'dynamics characteristic of drive shaft system, inertia wheel group has been designed by analyzing the mass conversion of inertia wheel group, critical speed and dynamic balance. The structure of test-bed has been fixed on after the shaft stiffness of test-bed being modified. The order times value of torsional vibration signal has been obtained through theoretical analysis to torsional vibration node of drive shaft.
6. The dual-mass flywheel torsional vibration characteristics is verified by experiment. The experiments include the torsional vibration test under the idling condition and the comparative test of torsional vibration under various operating conditions. Then the test error analysis of torsional vibration test is analyzed. Tests show that the test-bed can simulate various shaft torsional vibration characteristics for vehicle weight 1500KG-2000KG under different conditions that includes different shifts and different speed. The simulation of actual working conditions is realistic, the extraction of measuring torsional vibration signal is stable.
本文主要工作与创新如下：
1、建立了分档位的双质量飞轮轴系扭振计算模型。运用扭振系统当量建模的理论,结合双质量飞轮动力传动轴系结构特点,采用有限元分析等方法,对发动机、变速箱、传动轴、驱动桥等部件及整车质量的转动惯量、扭转刚度进行等效当量转化,着重对调速系统进行了分析,建立了汽车动力传动系统不同档位下的扭振动力学计算模型。
2、分析了双质量飞轮轴系自由扭振特性。以VM25C乘用车柴油机匹配LUK1005双质量飞轮扭振减振器的轴系为研究对象,采用系统矩阵法对其自由扭振进行分析和计算,得到了固有频率与振型。
3、对双质量飞轮轴系强迫扭振特性进行了分析。以双质量飞轮扭振减振器轴系为研究对象,通过分析汽车传动轴系激振的来源,确定了发动机内气体压力变化所产生的激振力矩及其运动部件转动惯量所产生的激振力矩,对发动机激振源进行了简谐分析,进而对在发动机激振下的轴系强迫扭振进行了计算分析,得到了轴系的扭振幅值。
4、开发了汽车传动轴系扭振特性分析软件,实现了轴系扭振固有频率计算、振型显示、临界转速计算等功能。
5、研发并搭建了双质量飞轮轴系扭振试验台。试验台以VM发动机为激振源,以模拟实际轴系扭振特性为目的。为了使该试验台能够模拟多种车型的传动轴系的动力学特性,通过分析惯量轮盘组的质量转换、临界转速及运动平衡问题,设计出惯量轮盘组模拟惯量系统。在修正了试验台轴系的刚度后确定了试验台的结构。并通过对传动轴扭振节点的理论分析,得到了各阶次下扭振信号的测量位置。
6、对双质量飞轮轴系扭振特性进行了试验验证。进行了怠速时轴系扭振的试验,各工况下轴系扭振的比较试验及扭振试验台测试误差分析。试验表明,该试验台能够模拟多种车重1500KG-2000KG的车型在不同负载情况下不同挡位、不同转速的轴系扭振特性。
The structure of automobile power transmission shaft system is very complex, and its power comes from automobile engines which is a source of torsional vibration. The drive shaft is a multi-degree of freedom vibration system and torsional vibration is a main source of vibration and noise, which becomes a direct impact on the quality of modern passenger cars. Dual-mass flywheel is between engine and driving shaft system, so it not only has traditional function of the flywheel, but also can adjust natural characteristics of torsional vibration by changing the mass and rigidity of the Department. Its own damping structure can also reduce the amplitude, so dual-mass flywheel can effectively absorb and attenuation engine vibration and enhance the smoothness of operating shaft system. It has become one of the most effective methods for improving vehicle powertrain torsional vibration characteristics. Further study of automotive power transmission shaft torsional vibration characteristics with dual-mass flywheel can provide theoretical and technical support to improving torsional vibration damping properties of automotive powertrain with dual-mass flywheel. It has great theoretical value and practical significance.
The following tasks and innovations have been completed:
1. Torsional vibration model of dual-mass flywheel under different stalls has been established. Based on equivalent torsional vibration system theory and combined with structure features of power system with dual-mass flywheel, the finite element analysis method is used for being equivalent conversion to the moment of inertia and torsional stiffness of parts and whole vehicle quality, such as the engine, gearbox, drive shaft, drive bridges, and emphatically for analysing speed control system. The mechanical computing model of automotive driveline torsional vibrations under different stalls is established.
2. The free torsional vibration characteristics of dual-mass flywheel shaft are analyzed. The researched object is the shaft of VM25C Diesel passenger vehicles matching LUK1005dual-mass flywheel torsional vibration damper. The free torsional vibration has been analysed and calculated by adopting system matrix method, then natural frequencies and vibration modes have been obtained.
3. Forced torsional vibration characteristics of dual-mass flywheel shaft is analyzed. The researched object is the shaft of dual-mass flywheel torsional vibration damper. By analyzing the excitation source of automotive transmission system it is determined that the exciting moment of force generated by gas pressure changes inside the engine and moment of inertia changes of its motion part, and then the shaft torsional vibration under excitation force of the engine is calculated and analysed. The torsional amplitude has been calculated.
4. The analysis software for torsional vibration characteristics of automobile transmission shaft system has been developed. It has many functions such as calculation of shaft's natural frequency, and display of vibration mode, calculation of critical speed, etc.
5. The test-bed of the shaft with dual-mass flywheel torsional vibration is designed and built. Excitation source is the VM engine, and its power is 105KW in order to simulate the shaft actual torsional vibration characteristics. In order to make the test-bed capable of simulating a variety of models'dynamics characteristic of drive shaft system, inertia wheel group has been designed by analyzing the mass conversion of inertia wheel group, critical speed and dynamic balance. The structure of test-bed has been fixed on after the shaft stiffness of test-bed being modified. The order times value of torsional vibration signal has been obtained through theoretical analysis to torsional vibration node of drive shaft.
6. The dual-mass flywheel torsional vibration characteristics is verified by experiment. The experiments include the torsional vibration test under the idling condition and the comparative test of torsional vibration under various operating conditions. Then the test error analysis of torsional vibration test is analyzed. Tests show that the test-bed can simulate various shaft torsional vibration characteristics for vehicle weight 1500KG-2000KG under different conditions that includes different shifts and different speed. The simulation of actual working conditions is realistic, the extraction of measuring torsional vibration signal is stable.
引文
[1]徐敏,骆振黄,严济宽,等.船舶动力机械的振动、冲击与测量[M].北京：国防工业出版社.1981.201-277
[2]吕振华,冯振东,程维娜,梁恩忠.汽车传动系扭振噪声的发生机理及控制方法述评[J].汽车技术,1993(2)：1-4
[3]王棋.内燃机轴系扭转振动[M].北京：国防工业出版社,1985
[4]李光辉,胡建军,秦大同等.径向弹簧型双质量飞轮扭转减振器扭振固有特性研究[J].中国机械工程,2008,19(15)：1800-1805
[5]Turplin. Torsional Vibration. London Sir Issac Pitman & sons Ltd,1986
[6]李渤仲,陈之炎,应启光.内燃机轴系扭转振动[M].北京：国防工业出版社,1984
[7]唐斌.基于精确动态刚度矩阵法的内燃机轴系扭转、纵向及弯曲三维耦合振动研究[博士学位论文].大连：大连理工大学,2006
[8]Kouji Fujii. A simulation of crankshaft bending vibration. SAE Paper 912495
[9]K. Wakabayashi et al. The effet of typical torsional viscous-friction damper on the reduction of vibrations in the three dimensional space of diesel engineshaftings. SAE sp-991, USA, 1993.pp53-73
[10]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学报,1986.7(2)：45-59
[11]彭玉莺,张准,解辛辛.扭转振动的机械阻抗测试和参数识别[J].江苏理工大学学报,1985(2)：81-89
[12]Albert. Advanced Development of Dual Mass Flywheel (DMFW) Design & Noise Control for Today's Automobiles [C]. The 5th LuK Symposium, Germany,1994
[13]ReikW. The Dual Mass Flywheel [C]. The 6th LuK Symposium, Germany,1998
[14]向建华,廖日东,左正兴.单缸熄火时发动机曲轴系统扭振特性研究[J].北京理上大学学报,2008.28(2)：121-124
[15]李震,杜长林,孙军.内燃机曲轴轴系振动分析研究的现状、讨论与展望[J].内燃机学报,2002.20(5)：469-474
[16]舒歌群,吕兴才.内燃机曲轴扭振连续分布模型的计算方法[J].农业机械学报,2004.35(4)：36-39
[17]陈之炎.船舶推进轴系振动[M].上海：上海交通大学出版社,1987
[18]吕振华,吴志国,陈涛等.双质量飞轮-周向短弹簧型扭振减振器弹性特性设计原理及性能分析[J].汽车工程,2006,28(1)：493-497.
[19]吕振华,熊海涛,陈涛等.汽车动力传动系统双质量飞轮-径向弹簧型扭振减振器弹性特性设计方法[J].汽车工程,2002,24(1)：51-55
[20]Peter Schwibinger,et al.Noise and vibration control measure in the powertrain of passenger cars. Proceedings of the 1991 transactions. Journal of passenger cars. Pp787-795
[21]吕振华,陈涛.双体飞轮-周向弹簧型扭振减振器弹性特性设计研究[J].汽车工程,2006,28(1)：73-77.
[22]赵金霞.双质量飞轮的作用和特性[J].新技术新工艺,2003(5)：19-20
[23]Kenishi Yamamoto, et al. Consideration of a new type two mass flywheel. Proceedings of the 1991 Noise and vibration conference. USA. May,1991. Pp 161-166
[24]刘圣田,吕振华,邵成,等.双质量飞轮式扭振减振器[J].汽车技术,1997(1)：23-27
[25]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
[26]钱人一.德国鲁克公司的双质量飞轮(下)[J].汽车与配件,2006(12)44-47
[27]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
[28]Klaus Steinel. Clutch Tuning to Optimize Noise and Vibration Behavior in Trucks and Buses [C]. SAE 2000-01-3292
[29]Albert Albers, Marc Albrecht,Arne Kriiger and Ralph Lux. New Methodology for Power Train Development in the Automotive Engineering-Integration of Simulation, Design and Testing [C].SAE 2001-01-3303
[30]Alexander Fidlin, Roland Seebacher. DMF simulation techniques-Finding the needle in the haystack[C].LuK Symposium,2006:55-71
[31]Hans Jiirgen Drexl. Torsional Dampers and Alternative Systems to Reduce Driveline Vibrations[C], SAE 870393
[32]Albert. Advanced Development of Dual Mass Flywheel (DMFW) Design & Noise Control for Today's Automobiles [C].5th LuK Symposium, Buhl, Germany,1994
[33]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(4)：24-26
[34]C.L.Gaillard, R.Singh, et al. Dynamic Analysis of Automotive Clutch Dampers [J].Applied Acoustics,2000,60 (2):399-424
[35]刘圣田,吕安涛,马见明.典型双质量飞轮式扭振减振器结构分析[J].山东省交通科技,1998(2)：19-21
[36]Patrice Benin, Eric Breton, Ayman Mokdad. Radial Dual Mass Flywheel[C]. SAE 950893
[37]YHonda and T.Saito. Study on share-type rubber dampers of various forms for controlling torsional vibration. Transaction of JSAE, No.30,1985
[38]Ralf Stopp, Christa Siefert. DMFW-Nothing New [C].7th LuK Symposium 11/12 April 2002: 5-14
[39]Theodossiades,S. Effect of a Dual-mass Flywheel on the Impact-induced Noise in Vehicular Powertrain Systems[J]. Journal of Automobile Engineering,2006,220 (3):747-761
[40]Taehyun, Kim, et al. Analysis of Dual mass Flywheel Using Discrete Arcspring Model[J]. Key Engineering Materials,2006,326 (6):67-84
[41]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
[42]Thomson W T. Theory of vibration with applications [M]. Englewood Cliffs, N.J.:Prentice-Hall, 1972
[43]Hartmut Bach,Wolf gang Kiicks, et al. Simulation of Various Operating Conditions of Powertrains with a Dual Mass Flywheel[J]. Drive System Technique,2008,22 (3):3-16
[44]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[45]王勇勤,王庆等.轧机主传动系统扭振计算解析法和有限元法的对比[J].重庆工学院学报(自然科学版),2008,22(5)：24-27
[46]李立斌,唐应时.离合器试验台的开发与应用[J].湖南工业职业技术学院学报,2004.4(4)：6-7
[47]杜极生.轴系扭转振动的试验·监测和仪器[M].南京：东南大学出版社,1994
[48]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[49]秦萍,阎兵,董大伟.多缸内燃机轴系扭振性能的计算分析与改善[J].内燃机,2002(2)：21-24
[50]程庆澜.柴油机的循环波动性[J].内燃机学报,1992(4)：377-379
[51]于学华.发动机曲轴系统扭转振动分析.汽车技术[J],2008(3)：15-18
[52]Ebrat Omidreza, Mourelatos Zissimos P, Hu Kexin, et al. An Elastohydrodynamic Coupling of a Rotating crankshaft and a Flexible Engine Block[J].Transactions of the ASME,2004,126 (2): 233-24
[53]Ahmad A S, Mahaveer P K. Dynamic Modeling of Automotive Engine Crankshafts[J]. Mechanism & Machine Theory,1994,29 (7):295-33
[54]杨波.基于轻量级框架的船舶技术性能数字化试验平台的设计与实现[硕士学位论文].无锡：江南大学,2008
[55]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学,1986,7(2)：45-59
[56]高品贤.影响曲轴扭振计算与测量间差异的几个主要因素.内燃机学报,1985.3(1)：31-38
[57]舒歌群.基于扭转弹性波理论的船舶柴油机推进轴系扭振研究[J].船舶力学,2005,9(5)：137-142
[58]郑凯,胡仁喜,陈鹿民,等.ADAMS 2005机械设计高级应用实例[M].北京：机械工业出版社,2006.164-193
[59]Hong Qingquan, Cheng Ying, Tan Wenjie. Modelling and simulation of powertrain based on MSC.ADAMS. ADAMS User Conference 2002-China
[60]尹华鑫,丁良旭,李伟.汽车变速换档同步试验台的开发研究[J].机械制造,2007.45
(520)：49-51
[61]张邦成,王占礼,邵春平,等.汽车传动系总成冲击耐久试验台检测系统的研究[J].机床与液压,2007.35(10)：143-146
[62]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[63]孙世向,夏季.考虑连续质量的扭振系统的传递矩阵分析[J].西南科技大学学报,2003,18(1)：30-34
[64]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[65]王璋奇.扭转固有振动分析的改进传递矩阵法[J].华北电力大学学报,2001,28(3)：66-68
[66]陈奎孚,彭红涛等.复杂传动轴系扭振的递归传递矩阵法[J].农业工程学报,1999,15(2)：42-45
[67]张洪田,汤儒涛等.船舶轴系扭转振动计算的Riccati传递矩阵法[J].船舶工程,1998,8(1)：31-35
[68]Theodossiades,S. Effect of a Dual-mass Flywheel on the Impact-induced Noise in Vehicular Powertrain Systems[J]. Journal of Automobile Engineering,2006,220 (3):747-761
[69]Taehyun, Kim, et al. Analysis of Dual mass Flywheel Using Discrete Arcspring Model[J]. Key Engineering Materials,2006,326 (6):67-84
[70]向建华,廖日东.基于系统矩阵法的轴系扭振图形化建模技术研究[J].兵工学报,2005,26(3)：294-297
[71]杨绳祖,王俊.复杂系统扭振固有频率计算[J].武汉水运工程学院学报,1989,13(1)：41-48
[72]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
[73]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[74]Lu Zhenhua, Chen Tao. Design and Analysis of A Dual MassFlywheel-Circumferential Spring Torsional Damper. Proceedings of the Eleventh International Pacific Conference on Automotive Engineering-Shanghai,2001
[75]孙少军,张俊红等.内燃机曲轴动态特性有限元分析及试验验证[J].天津大学学报,2008,41(2)：233-237
[76]王勇勤,王庆等.轧机主传动系统扭振计算解析法和有限元法的对比[J].重庆工学院学报(自然科学版),2008,22(5)：24-27
[77]李惠珍,张德平等.用有限元法进行曲轴扭振计算[J].1991,9(2)：157-162
[78]赵骞,郝志勇.柴油机轴系扭振减振器的有限元优化设计[J].农业机械学报,2000,31(5)：91-96
[79]崔超,臧勇.轧机主传动系统扭振的有限元法研究[J].重庆机械,1999,9(4)：31-34
[80]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[81]Ebrat Omidreza, Mourelatos Zissimos P, Hu Kexin, et al. An Elastohydrodynamic Coupling of a Rotating crankshaft and a Flexible Engine Block[J].Transactions of the ASME,2004,126 (2): 233-24
[82]Ahmad A S, Mahaveer P K. Dynamic Modeling of Automotive Engine Crankshafts[J]. Mechanism & Machine Theory,1994,29 (7):295-33
[83]孙连科,唐斌等.6110柴油机曲轴的三维有限元分析[J].车用发动机,2007,21(2)：81-84
[84]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学,1986,7(2)：45-59
[85]彭玉莺,张准等.扭转振动的机械阻抗测试和参数识别[J].江苏理工大学学报,198511(2)：81-89
[86]李爱红.粗轧机主传动装备扭振模态分析[J].科技资讯,2008,63(36)：70-71
[87]张柏松.多级齿轮传动系统扭振建模及模态分析[J].三峡大学学报(自然科学版),2004,26(4)：353-356
[88]王国治.柴油机轴系扭振研究中的模态分析方法[J].内燃机学报,1986,4(3)：249-259
[89]Bagci C. A Computer Method for Computing Torsional Nature Frequencies of Nonuniform Shafts Geared System, and Curved Assemblies [C]. Proceedings of the 3rd OSU Mechanical Conference, Oklahoma,1973,40:1-15
[90]Carrato P J, Fu C C. Model Analysis Techniques for Torsiaonal Vibration of Diesel Crankshaft[C]. SAEPaper 861225
[91]舒歌群.基于扭转弹性波理论的船舶柴油机推进轴系扭振研究[J].船舶力学,2005,9(5)：137-142
[92]Bogacz R, Szolc T, Irretier H. An Application of Torsional Wave Analysis to Turbogenerator Rotor Shaft Response[J].Transactions of the ASME, Journal of Vibration and Acoustics,1992,114:149-153
[93]郝志勇,舒歌群.内燃机轴系扭振响应的扭转弹性波计算方法研究[J].内燃机学报,2000,18(1)：29-32
[94]林瑞霖,黄次浩.柴油机轴系非线性扭振响应的IHB计算方法[J].内燃机学报,2002,20(2)：185-187
[95]陈予恕.非线性振动[M].天津：天津科技出版社,1983.5
[96]程耀东.机械振动学(非线性系统)[M].杭州：浙江大学出版社,1990.7
[97]廖世俊.同伦分析方法：一种新的求解非线性问题的近似解析方法[J].应用数学和力学,1998,19(10)：885-890
[98]何吉欢.非线性问题的变分迭代方法及其应用[J].力学与实践,1998,20(1)：30-31
[99]朱因远,周纪卿.非线性振动和运动稳定性[M].西安：西安交通大学出版社,1992.5
[100]李骊.强非线性系统的频闪法[J].力学学报,1997,22(4)：402-412
[101]Wong C W, Ni Y Q, Lau S L. Steady-state Oscillation of Hysteretic Differential Model, I: Response Analysis[J]. ASCE Journal of Engineering Mechanics,1994,120:2271-2298
[102]Lau S L, Cheung Y K, Wu S Y. Incremetal Harmonic Balance Method with Multiple Time Scales for a Periodic Vibration of Nonlinear Systems[J]. Transaction of the ASME, Journal Applied Mechanics, December 1983,50:871-976
[103]刘圣田.双质量飞轮式扭振减振器对振动的控制分析[J].农业机械学报,2004,35(3)：16-19
[104]丁原,潘毓学.双质量飞轮式扭振减振器扭振模型分析[J].武汉理工大学学报,2009,31(8)：133-136
[105]赵孝峰,宋立权等.周向短弹簧双质量飞轮扭转减振原理研究[J].内燃机,2008,6(6)：6-12
[106]李强,杨武雄.汽车发动机双质量飞轮激光焊接机及其工艺研究[J].热加工工艺(焊接版),2006,35(3)：24-26
[107]Shi Wen-ku, Long Yan. Study on Multistage Non-linear Dual Mass Flywheel Damper[J]. Journal of Vibration and Shock,2009,28 (5):92-96
[108]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
[109]T.C.Kim, T.E. Rook,R. Singh. Effect of Nonlinear Impact Damping on the Frequency response of a Torsional System with Clearance[J]. Journal of Sound and Vibration,2005, 281(2):995-1021
[110]Biermann J K, 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
[111]J. H. Griffin, W-T Wu, J. A. Wickert, J. B. Brown. Torsional vibration of drive trains[C].SAE Technical Paper Series 941697
[112]Bargis E,Garro A,Vullo V. Crankshaft Design and Evaluation of Current Methods-Part 2:A Modern Design Method:Modal Analysis[C].Conference on Reliability, Stress Analysis and Failure Prevention in Mechanical Design, ASME International,1980
[113]Nadolski W,Szolc T,Pielorz A. Dynamic Investigation of the Crankshaft of Three Cylinder Single Bank Engines Using Torsional Elastic Waves[C].Proceedings of the 15thInternational Conference on Dynamic ofMachines.Editions of the Academy of Science of the GDR,1986
[2]吕振华,冯振东,程维娜,梁恩忠.汽车传动系扭振噪声的发生机理及控制方法述评[J].汽车技术,1993(2)：1-4
[3]王棋.内燃机轴系扭转振动[M].北京：国防工业出版社,1985
[4]李光辉,胡建军,秦大同等.径向弹簧型双质量飞轮扭转减振器扭振固有特性研究[J].中国机械工程,2008,19(15)：1800-1805
[5]Turplin. Torsional Vibration. London Sir Issac Pitman & sons Ltd,1986
[6]李渤仲,陈之炎,应启光.内燃机轴系扭转振动[M].北京：国防工业出版社,1984
[7]唐斌.基于精确动态刚度矩阵法的内燃机轴系扭转、纵向及弯曲三维耦合振动研究[博士学位论文].大连：大连理工大学,2006
[8]Kouji Fujii. A simulation of crankshaft bending vibration. SAE Paper 912495
[9]K. Wakabayashi et al. The effet of typical torsional viscous-friction damper on the reduction of vibrations in the three dimensional space of diesel engineshaftings. SAE sp-991, USA, 1993.pp53-73
[10]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学报,1986.7(2)：45-59
[11]彭玉莺,张准,解辛辛.扭转振动的机械阻抗测试和参数识别[J].江苏理工大学学报,1985(2)：81-89
[12]Albert. Advanced Development of Dual Mass Flywheel (DMFW) Design & Noise Control for Today's Automobiles [C]. The 5th LuK Symposium, Germany,1994
[13]ReikW. The Dual Mass Flywheel [C]. The 6th LuK Symposium, Germany,1998
[14]向建华,廖日东,左正兴.单缸熄火时发动机曲轴系统扭振特性研究[J].北京理上大学学报,2008.28(2)：121-124
[15]李震,杜长林,孙军.内燃机曲轴轴系振动分析研究的现状、讨论与展望[J].内燃机学报,2002.20(5)：469-474
[16]舒歌群,吕兴才.内燃机曲轴扭振连续分布模型的计算方法[J].农业机械学报,2004.35(4)：36-39
[17]陈之炎.船舶推进轴系振动[M].上海：上海交通大学出版社,1987
[18]吕振华,吴志国,陈涛等.双质量飞轮-周向短弹簧型扭振减振器弹性特性设计原理及性能分析[J].汽车工程,2006,28(1)：493-497.
[19]吕振华,熊海涛,陈涛等.汽车动力传动系统双质量飞轮-径向弹簧型扭振减振器弹性特性设计方法[J].汽车工程,2002,24(1)：51-55
[20]Peter Schwibinger,et al.Noise and vibration control measure in the powertrain of passenger cars. Proceedings of the 1991 transactions. Journal of passenger cars. Pp787-795
[21]吕振华,陈涛.双体飞轮-周向弹簧型扭振减振器弹性特性设计研究[J].汽车工程,2006,28(1)：73-77.
[22]赵金霞.双质量飞轮的作用和特性[J].新技术新工艺,2003(5)：19-20
[23]Kenishi Yamamoto, et al. Consideration of a new type two mass flywheel. Proceedings of the 1991 Noise and vibration conference. USA. May,1991. Pp 161-166
[24]刘圣田,吕振华,邵成,等.双质量飞轮式扭振减振器[J].汽车技术,1997(1)：23-27
[25]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
[26]钱人一.德国鲁克公司的双质量飞轮(下)[J].汽车与配件,2006(12)44-47
[27]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
[28]Klaus Steinel. Clutch Tuning to Optimize Noise and Vibration Behavior in Trucks and Buses [C]. SAE 2000-01-3292
[29]Albert Albers, Marc Albrecht,Arne Kriiger and Ralph Lux. New Methodology for Power Train Development in the Automotive Engineering-Integration of Simulation, Design and Testing [C].SAE 2001-01-3303
[30]Alexander Fidlin, Roland Seebacher. DMF simulation techniques-Finding the needle in the haystack[C].LuK Symposium,2006:55-71
[31]Hans Jiirgen Drexl. Torsional Dampers and Alternative Systems to Reduce Driveline Vibrations[C], SAE 870393
[32]Albert. Advanced Development of Dual Mass Flywheel (DMFW) Design & Noise Control for Today's Automobiles [C].5th LuK Symposium, Buhl, Germany,1994
[33]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(4)：24-26
[34]C.L.Gaillard, R.Singh, et al. Dynamic Analysis of Automotive Clutch Dampers [J].Applied Acoustics,2000,60 (2):399-424
[35]刘圣田,吕安涛,马见明.典型双质量飞轮式扭振减振器结构分析[J].山东省交通科技,1998(2)：19-21
[36]Patrice Benin, Eric Breton, Ayman Mokdad. Radial Dual Mass Flywheel[C]. SAE 950893
[37]YHonda and T.Saito. Study on share-type rubber dampers of various forms for controlling torsional vibration. Transaction of JSAE, No.30,1985
[38]Ralf Stopp, Christa Siefert. DMFW-Nothing New [C].7th LuK Symposium 11/12 April 2002: 5-14
[39]Theodossiades,S. Effect of a Dual-mass Flywheel on the Impact-induced Noise in Vehicular Powertrain Systems[J]. Journal of Automobile Engineering,2006,220 (3):747-761
[40]Taehyun, Kim, et al. Analysis of Dual mass Flywheel Using Discrete Arcspring Model[J]. Key Engineering Materials,2006,326 (6):67-84
[41]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
[42]Thomson W T. Theory of vibration with applications [M]. Englewood Cliffs, N.J.:Prentice-Hall, 1972
[43]Hartmut Bach,Wolf gang Kiicks, et al. Simulation of Various Operating Conditions of Powertrains with a Dual Mass Flywheel[J]. Drive System Technique,2008,22 (3):3-16
[44]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[45]王勇勤,王庆等.轧机主传动系统扭振计算解析法和有限元法的对比[J].重庆工学院学报(自然科学版),2008,22(5)：24-27
[46]李立斌,唐应时.离合器试验台的开发与应用[J].湖南工业职业技术学院学报,2004.4(4)：6-7
[47]杜极生.轴系扭转振动的试验·监测和仪器[M].南京：东南大学出版社,1994
[48]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[49]秦萍,阎兵,董大伟.多缸内燃机轴系扭振性能的计算分析与改善[J].内燃机,2002(2)：21-24
[50]程庆澜.柴油机的循环波动性[J].内燃机学报,1992(4)：377-379
[51]于学华.发动机曲轴系统扭转振动分析.汽车技术[J],2008(3)：15-18
[52]Ebrat Omidreza, Mourelatos Zissimos P, Hu Kexin, et al. An Elastohydrodynamic Coupling of a Rotating crankshaft and a Flexible Engine Block[J].Transactions of the ASME,2004,126 (2): 233-24
[53]Ahmad A S, Mahaveer P K. Dynamic Modeling of Automotive Engine Crankshafts[J]. Mechanism & Machine Theory,1994,29 (7):295-33
[54]杨波.基于轻量级框架的船舶技术性能数字化试验平台的设计与实现[硕士学位论文].无锡：江南大学,2008
[55]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学,1986,7(2)：45-59
[56]高品贤.影响曲轴扭振计算与测量间差异的几个主要因素.内燃机学报,1985.3(1)：31-38
[57]舒歌群.基于扭转弹性波理论的船舶柴油机推进轴系扭振研究[J].船舶力学,2005,9(5)：137-142
[58]郑凯,胡仁喜,陈鹿民,等.ADAMS 2005机械设计高级应用实例[M].北京：机械工业出版社,2006.164-193
[59]Hong Qingquan, Cheng Ying, Tan Wenjie. Modelling and simulation of powertrain based on MSC.ADAMS. ADAMS User Conference 2002-China
[60]尹华鑫,丁良旭,李伟.汽车变速换档同步试验台的开发研究[J].机械制造,2007.45
(520)：49-51
[61]张邦成,王占礼,邵春平,等.汽车传动系总成冲击耐久试验台检测系统的研究[J].机床与液压,2007.35(10)：143-146
[62]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[63]孙世向,夏季.考虑连续质量的扭振系统的传递矩阵分析[J].西南科技大学学报,2003,18(1)：30-34
[64]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[65]王璋奇.扭转固有振动分析的改进传递矩阵法[J].华北电力大学学报,2001,28(3)：66-68
[66]陈奎孚,彭红涛等.复杂传动轴系扭振的递归传递矩阵法[J].农业工程学报,1999,15(2)：42-45
[67]张洪田,汤儒涛等.船舶轴系扭转振动计算的Riccati传递矩阵法[J].船舶工程,1998,8(1)：31-35
[68]Theodossiades,S. Effect of a Dual-mass Flywheel on the Impact-induced Noise in Vehicular Powertrain Systems[J]. Journal of Automobile Engineering,2006,220 (3):747-761
[69]Taehyun, Kim, et al. Analysis of Dual mass Flywheel Using Discrete Arcspring Model[J]. Key Engineering Materials,2006,326 (6):67-84
[70]向建华,廖日东.基于系统矩阵法的轴系扭振图形化建模技术研究[J].兵工学报,2005,26(3)：294-297
[71]杨绳祖,王俊.复杂系统扭振固有频率计算[J].武汉水运工程学院学报,1989,13(1)：41-48
[72]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
[73]Huang Y M, Homg C D. Analysis of Torsional Vibration Systems by the Extended Transformer Matrix Method[J]. Journal of Vibrationand Aeousties,1999,121:250-255
[74]Lu Zhenhua, Chen Tao. Design and Analysis of A Dual MassFlywheel-Circumferential Spring Torsional Damper. Proceedings of the Eleventh International Pacific Conference on Automotive Engineering-Shanghai,2001
[75]孙少军,张俊红等.内燃机曲轴动态特性有限元分析及试验验证[J].天津大学学报,2008,41(2)：233-237
[76]王勇勤,王庆等.轧机主传动系统扭振计算解析法和有限元法的对比[J].重庆工学院学报(自然科学版),2008,22(5)：24-27
[77]李惠珍,张德平等.用有限元法进行曲轴扭振计算[J].1991,9(2)：157-162
[78]赵骞,郝志勇.柴油机轴系扭振减振器的有限元优化设计[J].农业机械学报,2000,31(5)：91-96
[79]崔超,臧勇.轧机主传动系统扭振的有限元法研究[J].重庆机械,1999,9(4)：31-34
[80]Mourelatos Z P. An Efficient Crankshaft Dynamic Analysis Using Substructuring with Ritz Vectors[J]. Journal of Sound and Vibration,2000,238 (3):495-527
[81]Ebrat Omidreza, Mourelatos Zissimos P, Hu Kexin, et al. An Elastohydrodynamic Coupling of a Rotating crankshaft and a Flexible Engine Block[J].Transactions of the ASME,2004,126 (2): 233-24
[82]Ahmad A S, Mahaveer P K. Dynamic Modeling of Automotive Engine Crankshafts[J]. Mechanism & Machine Theory,1994,29 (7):295-33
[83]孙连科,唐斌等.6110柴油机曲轴的三维有限元分析[J].车用发动机,2007,21(2)：81-84
[84]张准,彭玉莺.内燃机曲轴-飞轮系统扭振的复模态分析[J].江苏理工大学学,1986,7(2)：45-59
[85]彭玉莺,张准等.扭转振动的机械阻抗测试和参数识别[J].江苏理工大学学报,198511(2)：81-89
[86]李爱红.粗轧机主传动装备扭振模态分析[J].科技资讯,2008,63(36)：70-71
[87]张柏松.多级齿轮传动系统扭振建模及模态分析[J].三峡大学学报(自然科学版),2004,26(4)：353-356
[88]王国治.柴油机轴系扭振研究中的模态分析方法[J].内燃机学报,1986,4(3)：249-259
[89]Bagci C. A Computer Method for Computing Torsional Nature Frequencies of Nonuniform Shafts Geared System, and Curved Assemblies [C]. Proceedings of the 3rd OSU Mechanical Conference, Oklahoma,1973,40:1-15
[90]Carrato P J, Fu C C. Model Analysis Techniques for Torsiaonal Vibration of Diesel Crankshaft[C]. SAEPaper 861225
[91]舒歌群.基于扭转弹性波理论的船舶柴油机推进轴系扭振研究[J].船舶力学,2005,9(5)：137-142
[92]Bogacz R, Szolc T, Irretier H. An Application of Torsional Wave Analysis to Turbogenerator Rotor Shaft Response[J].Transactions of the ASME, Journal of Vibration and Acoustics,1992,114:149-153
[93]郝志勇,舒歌群.内燃机轴系扭振响应的扭转弹性波计算方法研究[J].内燃机学报,2000,18(1)：29-32
[94]林瑞霖,黄次浩.柴油机轴系非线性扭振响应的IHB计算方法[J].内燃机学报,2002,20(2)：185-187
[95]陈予恕.非线性振动[M].天津：天津科技出版社,1983.5
[96]程耀东.机械振动学(非线性系统)[M].杭州：浙江大学出版社,1990.7
[97]廖世俊.同伦分析方法：一种新的求解非线性问题的近似解析方法[J].应用数学和力学,1998,19(10)：885-890
[98]何吉欢.非线性问题的变分迭代方法及其应用[J].力学与实践,1998,20(1)：30-31
[99]朱因远,周纪卿.非线性振动和运动稳定性[M].西安：西安交通大学出版社,1992.5
[100]李骊.强非线性系统的频闪法[J].力学学报,1997,22(4)：402-412
[101]Wong C W, Ni Y Q, Lau S L. Steady-state Oscillation of Hysteretic Differential Model, I: Response Analysis[J]. ASCE Journal of Engineering Mechanics,1994,120:2271-2298
[102]Lau S L, Cheung Y K, Wu S Y. Incremetal Harmonic Balance Method with Multiple Time Scales for a Periodic Vibration of Nonlinear Systems[J]. Transaction of the ASME, Journal Applied Mechanics, December 1983,50:871-976
[103]刘圣田.双质量飞轮式扭振减振器对振动的控制分析[J].农业机械学报,2004,35(3)：16-19
[104]丁原,潘毓学.双质量飞轮式扭振减振器扭振模型分析[J].武汉理工大学学报,2009,31(8)：133-136
[105]赵孝峰,宋立权等.周向短弹簧双质量飞轮扭转减振原理研究[J].内燃机,2008,6(6)：6-12
[106]李强,杨武雄.汽车发动机双质量飞轮激光焊接机及其工艺研究[J].热加工工艺(焊接版),2006,35(3)：24-26
[107]Shi Wen-ku, Long Yan. Study on Multistage Non-linear Dual Mass Flywheel Damper[J]. Journal of Vibration and Shock,2009,28 (5):92-96
[108]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
[109]T.C.Kim, T.E. Rook,R. Singh. Effect of Nonlinear Impact Damping on the Frequency response of a Torsional System with Clearance[J]. Journal of Sound and Vibration,2005, 281(2):995-1021
[110]Biermann J K, 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
[111]J. H. Griffin, W-T Wu, J. A. Wickert, J. B. Brown. Torsional vibration of drive trains[C].SAE Technical Paper Series 941697
[112]Bargis E,Garro A,Vullo V. Crankshaft Design and Evaluation of Current Methods-Part 2:A Modern Design Method:Modal Analysis[C].Conference on Reliability, Stress Analysis and Failure Prevention in Mechanical Design, ASME International,1980
[113]Nadolski W,Szolc T,Pielorz A. Dynamic Investigation of the Crankshaft of Three Cylinder Single Bank Engines Using Torsional Elastic Waves[C].Proceedings of the 15thInternational Conference on Dynamic ofMachines.Editions of the Academy of Science of the GDR,1986
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |