Influence of the Friction Force on the Frequency Response Characteristics of Ballscrew Inerter
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摘要: 为建立更精确的惯容器模型和完善惯容器设计理论与方法,设计丝杠旋转式滚珠丝杠惯容器,搭建惯容器试验台架,研究非线性因素对惯容器的影响。采用系统识别的方法,将时域响应试验数据转化为频域响应数据,得到惯容器的频响特性曲线,以惯容器Malcolm线性模型为试验研究的比较对象,分析无背隙情况下摩擦力对滚珠丝杠惯容器频响特性的影响。结果表明:低频下,滚珠丝杠惯容器摩擦力占据主导地位,导致惯容器相位跌落、幅值增大;随着频率和惯容系数的增大,摩擦力对惯容器的影响相对减小,惯容器实际性能与理论性能逐步接近。Abstract: In order to build more accurate model for an inerter and improve design theories and methods of inerter, the influence of the nonlinear factors on the inerter was investigated. A screw-rotation ballscrew inerter was designed, and its test bench was established. With the system identification, the test data of the time domain response were turned into the frequency domain, and then the frequency response characteristics curves of inerter were obtained. The Malcolm linear model for inerter was taken as a comparing object of the test to analyze influence of the friction force on the frequency response characteristics of ballscrew inerter in the condition of no backlash. The results show that at low frequencies, the friction force dominates in the inerter so as to decrease it's the phase and increase the amplitude as well. With the increasing of frequency and inertance, the influence of the friction force on the inerter relatively reduces, and its actual performance gradually approaches the theoretical.
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Key words:
- ball screw /
- bench test /
- design of experiments /
- errors /
- friction force /
- inerter
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[1] Smith M C. Force-Contronlling mechanical device[P]. UK, PCT/GB02/03056. 2002-07-04 [2] 聂佳梅,张孝良,江浩斌,等.惯容器模型结构探索[J].机械设计与研究,2012,28(1):29-32 Nie J M, Zhang X L, Jiang H B, et al. Research on the inerter structure[J]. Machine Design and Research,2012,28(1):29-32 (in Chinese) [3] Smith M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control,2002,47(10):1648-1662 [4] Smith M C. Performance benefits in passive vehicle suspensions employing inerters[J]. Vehicle System Dynamics,2004,42(4):235-257 [5] Chen M Z Q, Papageorgiou C, Scheibe F, et al. The missing mechanical circuit element[J]. IEEE Circuits and Systems Magazine,2009,9(1):10-26 [6] 陈 龙,张孝良,聂佳梅,等.基于半车模型的两级串联型ISD悬架性能分析[J].机械工程学报,2012,48(6):102-108 Cheng L, Zhang X L, Nie J M, et al. Performance analysis of two-stage series-connected inerter-spring-damper suspension based on half-car model[J]. Journal of Mechanical Engineering,2012,48(6):102-108 (in Chinese) [7] Papageorgiou C, Smith M C. Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension [J]. IEEE Transactions on Control Systems Technology,2006,14(3):423-435 [8] Wang F C, Liao M K, Liao B H, et al. The performance improvements of train suspension systems with mechanical networks employing inerters[J]. Vehicle System Dynamics,2009,47(7):805-830 [9] Scheibe F, Smith M C. Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions[J]. Vehicle System Dynamics,2009,47(10):1229-1252 [10] Kuznetsov A, Mammadov M, Sultan I, et al. Optimization of improved suspension system with inerter device of the quarter-car model in vibration analysis[J]. Archive of Applied Mechanics,2010,81(10):1427-1437 [11] Wang F C, Chen C W, Liao M K, et al. Performance analyses of building suspension control with inerters[C]//46th IEEE Conference on Decision and Control,New Orleans,LA,USA,2007:3786-3791 [12] Evangelou S, Limebeer D J N, Sharp R S, et al. Steering compensation for high-performance motorcycles[C]// 43nd IEEE Conference on Decision and Control,Atlantis,Paradise Island,Bahamas,2004:747-754 [13] Papageorgiou C, Smith M C. Laboratory experimental testing of inerters[C]//44th IEEE Conference on Decision and Control,Seville,Spain,2005:3351-3356 [14] Ljung L. System identification theory for user[M]. 2 edition. Prentice-Hall PTR,1999
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