Uncertain Optimization of Torsional Vibration Damper Considering Tolerant Design

Abstract

Abstract: The driveline model with torsional vibration damper was build and the relationship of driveline and rear axle were considered in this model.The vibration equation of the model was formulated.The influence of torsional vibration damper on the free and forced vibration of driveline was systematically studied.The interval uncertain optimization model was introduced to the driveline vibration analysis.With the presented method， the torsional vibration damper can play its role effectively in different manufacture and use conditions with greater tolerances.

Key words: torsional vibration damper, interval model, tolerance design, uncertain optimization

摘要： 建立了带扭转动力吸振器的动力传动系统模型，考虑了动力传动系统与后桥的耦合作用，推导了带扭转动力吸振器的动力传动系统振动动力学方程；对扭转动力吸振器的影响进行研究，分析了加入扭转动力吸振器后动力传动系统自由振动和强迫振动性能的变化及其原因；将区间不确定性优化模型引入动力传动系统振动分析中，保证了不同制造条件和使用工况下扭转动力吸振器均能最大程度发挥其作用，且允许扭转动力吸振器参数存在宽松的设计公差。

关键词: 扭转动力吸振器, 区间模型, 公差设计, 不确定性优化

CLC Number:

U463.2

HAO Yaodong1，2;HE Zhicheng1;LI Guangyao1;ZHANG Zhuomin1. Uncertain Optimization of Torsional Vibration Damper Considering Tolerant Design[J]. China Mechanical Engineering.

郝耀东1，2;何智成1;李光耀1;张卓敏1. 考虑公差的扭转动力吸振器不确定性优化设计[J]. 中国机械工程.

References

[1]FARSHIDIANFAR A，EBRAHIMI M，BARTLETT H. Hybrid Modelling 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）:217-229.
[2]XIA Y， LI H， TIAN X， et al. Torsional Finite Element Analysis of Driveline Torsional Vibration for a Front Wheel Driveline Vehicle Development [J］. Lecture Notes in Electrical Engineering， 2013， 201:55-72.
[3]COUDERC P， CALLENAERE J. Vehicle Driveline Dynamic Behaviour: Experimentation and Simulation [J］.Journal of Sound & Vibration， 1998， 218（1）:133-157.
[4]侯东晓，刘彬，时培明. 旋转机械传动系统连续扭振动力学建模与仿真[J］. 中国机械工程， 2010， 21（1）:30-34.
HOU Dongxiao， LIU Bin， SHI Peimeng. Research on Continuous Torsional Vibration Modeling and Simulation of Rotary Machinery[J］.China Mechanical Engineering，2010， 21（1）: 30-34.
[5]王登峰，宋继强，刘波. 汽车双质量飞轮扭振减振器性能仿真分析与匹配 [J］.中国机械工程， 2010， 21（9）: 1128-1133.
WANG Dengfeng， SONG Jijiang， LIU Bo. Simulation Analysis and Matching Optimization of Automotive Dual Mass Flywheel Performance[J］.China Mechanical Engineering， 2010， 21（9）: 1128-1133.
[6]张代胜，王浩.基于灵敏度分析的汽车动力传动系扭振特性优化[J］.中国机械工程，2013，24（5）:685-689.
ZHANG Daisheng， WANG Hao.-Optimization of Vehicle Drivetrain Torsional Vibration Characteristics Based on Sensitivity Analysis[J］.China Mechanical Engineering， 2013， 24（5）: 685-689.
[7]赵艳影，李昌爱. 时滞动力吸振器抑制扭转系统的振动[J］. 动力学与控制学报， 2013， 11（1）:36-41.
ZHAO Yanying， LI Changai.The Reduce of Driveline Vibration with Torsioal Vibration Damper[J］. Journal of Power and Engineering， 2013， 11（1）: 36-41.
[8]段龙扬，黄炯，谢明睿，等. 扭转减振器在解决车内噪声轰鸣问题的应用[C］// LMS中国用户大会. 成都，2010：1507-1513.
DUAN Longyang， HUANG Jiong，XIE Mingrui， et al. Application of Torsional Vibration Damper When Solving Booming Noise [C］// Users' Conference of LMS.Chengdu，2010：1507-1513.
[9]WU J. A Robust Optimization for the Frequency and Decoupling Ratio of a Powertrain Mounting System Based on Interval Analysis [J］. International Journal of Automotive Technology， 2012， 13（3）:409-422.
[10]WEHRWEIN D， MOURELATOS Z P. Optimization of Engine Torque Management under Uncertainty for Vehicle Driveline Clunk Using Time-Dependent Metamodels [J］. Journal of Mechanical Design， 2008， 131（5）:861-872.
[11]JIANG C， YU S， XIE H C， et al. Interval Uncertain Optimization of Vehicle Suspension for Ride Comfort[J］. Computer Modeling in Engineering & Sciences， 2014， 98（4）:443-467.
[12]HAO Y D， HE Z C， LI G Y， et al. Uncertainty Analysis and Optimization of Automotive Driveline Torsional Vibration with a Driveline and Rear Axle Coupled Model[J］. Engineering Optimization， 2018（2）:1-23.
[13]QIU Z， WANG X. Parameter Perturbation Method for Dynamic Responses of Structures with Uncertain-but-bounded Parameters Based on Interval Analysis [J］. International Journal of Solids & Structures， 2005， 42（18）:4958-4970.
[14]CHEN S H， WU J. Interval Optimization of Dynamic Response for Structures with Interval Parameters [J］. Computers & Structures， 2004， 82（1）:1-11.
[15]JIANG C， HAN X， LIU G R， et al. A Nonlinear Interval Number Programming Method for Uncertain Optimization Problems [J］. European Journal of Operational Research， 2008， 188（1）:1-13.
[16]DEB K， PRATAP A， AGARWAL S， et al. A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-Ⅱ[J］. IEEE Transactions on Evolutionary Computation， 2002， 6（2）:182-197.