多刚柔系统等速万向节的动力学特性分析
|
摘要
等速万向节将汽车的驱动力平稳可靠地传递给车轮,同时对汽车的车内噪声和振动等动力学性能有重要影响。采用多刚柔体系统传递矩阵法和扩展哈密顿原理,建立了等速万向节横向弯曲振动的动力学模型。利用伽辽金法将偏微分方程转化为常微分方程,并设计了等速万向节多刚柔体系统振动特性仿真算法。以某型号等速万向节为例,应用该算法仿真计算得到其固有频率和振型,并探明了减振器的参数和振动特性间的定量关系。利用B&K振动测试系统对等速万向节进行测试分析,理论模型的分析结果与试验结果基本一致,从而验证了仿真算法的有效性,体现了其工程应用价值。
The use of CVJs plays a significant role in smooth power transferring from engine to wheels,as well as in the performance of both noise and vibration. In the first part,according to the transverse bending vibration of CVJs,kinetic model has been built based on the theories of rigid-flexible multi-body system and generalized Hamiltonian Principle. In the next,partial differential equation has been transferred to ordinary differential equation through the Galerkin method so as to find the simulation algorithm for vibration performance of CVJs' rigid-flexible multi-body system. With this algorithm,a certain type CVJ is simulated to make sure its natural frequency and vibration mode,also to solve quantitative equation between the absorber parameters and the performance vibration. After the CVJ has been tested with B&K vibration system,the testing result shows a reasonable agreement with previous theoretical model analysis. It suggests that the simulation algorithm is valid for CVJs' kinetic study as well as its vibration and noise reduction,and is valuable in more practical application.
The use of CVJs plays a significant role in smooth power transferring from engine to wheels,as well as in the performance of both noise and vibration. In the first part,according to the transverse bending vibration of CVJs,kinetic model has been built based on the theories of rigid-flexible multi-body system and generalized Hamiltonian Principle. In the next,partial differential equation has been transferred to ordinary differential equation through the Galerkin method so as to find the simulation algorithm for vibration performance of CVJs' rigid-flexible multi-body system. With this algorithm,a certain type CVJ is simulated to make sure its natural frequency and vibration mode,also to solve quantitative equation between the absorber parameters and the performance vibration. After the CVJ has been tested with B&K vibration system,the testing result shows a reasonable agreement with previous theoretical model analysis. It suggests that the simulation algorithm is valid for CVJs' kinetic study as well as its vibration and noise reduction,and is valuable in more practical application.
引文
[1]胡宇达,张翼颖.磁场中轴向运动导电板磁弹性主共振分析[J].机械工程学报,2013,49(23).(Hu Yu-da,Zhang Yi-ying.Analysis of magneto-elastic principal resonance of axially moving current-conducting plate in magnetic field[J].Journal of mechanical engineering,2010(9):213-215.)
[2]徐晓明,任勇生,杜向红.SMA纤维复合材料变截面板簧固有频率特性研究[J].振动与冲击,2012,31(14).(Xu Xiao-ming,Ren Yong-sheng,Du Xiang-hong.Natural frequency of variable cross-section leaf spring made of SMA fiber composite material[J].Journal of Vibration and Shock,2012,31(14).)
[3]魏春梅,胡锦帆,续西安,王晨铭.汽车传动轴中间支承的减振设计[J].机械设计与制造,2015(11).(Wei Chun-mei,Hu Jin-fan,Xu Xian,Wang Chen-ming.A vibration reducing design for vehicle propeller shaft supporting bracket[J].Machinery Design&Manufacture,2015(11).)
[4]戎保,芮筱亭.多体系统动力学研究进展[J].振动与冲击,2011,30(7):184-187.(Rong Bao,Rui Xiao-ting.Developments of studies on multibody system dynamics[J].Journal of Vibration and Shock,2011,30(7):184-187.)
[5]Ni De,Zhu Rupeng.Modeling and characteristics of bending vibration for helicopter tail drive shaft during maneuver flight[J].Journal of Vibration and Shock,2014(7).
[6]陈奎孚,彭红涛,焦群英.复杂传动轴系扭振的递归传递矩阵法[J].农业工程学报,1999(2).(Chen Kui-fu,Peng Hong-tao,Jiao Qun-ying.The recursive transfer matrix method to calculate the torsional vibration of complex transmission system[J].Transactions of the Chinese Society of Agricultural Engineering,1999(2).)
[7]Giuseppe Quaranta,Pierangelo Masarati,Paolo Man-tegazza.Multibody analysis of controlled aeroelastic systems on parallel computers[J].Multibody System Dynamics,2002,8(1):71-102.
[8]Shabana A A.Dynamics of Multibody Systems[M].3rd Ed.New York:Cambridge University Press,2005.
[9]戎保,芮筱亭.多体系统传递矩阵法及其应用[M].北京.科学出版社,2008:411-433.)(Rong Bao.Rui Xiao-ting.Transfer Matrix Method and Its Application[M].Beijing.Science Press,2008:411-433.)
[10](日)背户一登著.减振器及其应用[M].北京,机械工业出版社,2013:71-128.(Kazuto Seto.Dynamic Vibration Absorber and its Applications[M].Mechanical Industry Press,2013:71-128.)
[2]徐晓明,任勇生,杜向红.SMA纤维复合材料变截面板簧固有频率特性研究[J].振动与冲击,2012,31(14).(Xu Xiao-ming,Ren Yong-sheng,Du Xiang-hong.Natural frequency of variable cross-section leaf spring made of SMA fiber composite material[J].Journal of Vibration and Shock,2012,31(14).)
[3]魏春梅,胡锦帆,续西安,王晨铭.汽车传动轴中间支承的减振设计[J].机械设计与制造,2015(11).(Wei Chun-mei,Hu Jin-fan,Xu Xian,Wang Chen-ming.A vibration reducing design for vehicle propeller shaft supporting bracket[J].Machinery Design&Manufacture,2015(11).)
[4]戎保,芮筱亭.多体系统动力学研究进展[J].振动与冲击,2011,30(7):184-187.(Rong Bao,Rui Xiao-ting.Developments of studies on multibody system dynamics[J].Journal of Vibration and Shock,2011,30(7):184-187.)
[5]Ni De,Zhu Rupeng.Modeling and characteristics of bending vibration for helicopter tail drive shaft during maneuver flight[J].Journal of Vibration and Shock,2014(7).
[6]陈奎孚,彭红涛,焦群英.复杂传动轴系扭振的递归传递矩阵法[J].农业工程学报,1999(2).(Chen Kui-fu,Peng Hong-tao,Jiao Qun-ying.The recursive transfer matrix method to calculate the torsional vibration of complex transmission system[J].Transactions of the Chinese Society of Agricultural Engineering,1999(2).)
[7]Giuseppe Quaranta,Pierangelo Masarati,Paolo Man-tegazza.Multibody analysis of controlled aeroelastic systems on parallel computers[J].Multibody System Dynamics,2002,8(1):71-102.
[8]Shabana A A.Dynamics of Multibody Systems[M].3rd Ed.New York:Cambridge University Press,2005.
[9]戎保,芮筱亭.多体系统传递矩阵法及其应用[M].北京.科学出版社,2008:411-433.)(Rong Bao.Rui Xiao-ting.Transfer Matrix Method and Its Application[M].Beijing.Science Press,2008:411-433.)
[10](日)背户一登著.减振器及其应用[M].北京,机械工业出版社,2013:71-128.(Kazuto Seto.Dynamic Vibration Absorber and its Applications[M].Mechanical Industry Press,2013:71-128.)