-
摘要:
摩擦环节对机械系统动力学行为有重要、甚至可能是关键的影响. 深入研究摩擦及摩擦动力学特点,对于解决机械系统中摩擦带来的不利影响, 发挥其有利作用, 是非常重要的. 本文介绍和评述了机械系统摩擦动力学的研究进展, 包括常用的摩擦模型及其特性, 摩擦系统自激振动、强迫振动和摩擦振动控制等. 除理论研究方法之外, 重点讨论了制动噪声振动、摩擦耗能和多领域摩擦振动控制等摩擦动力学的应用研究.
Abstract:Friction has a significant effect, even dominant one in some cases, on the dynamic behavior of mechanical systems. Thorough investigation on friction dynamics is very important to avoid negative influences of friction on dynamical systems and make reasonable use of its beneficial effect. This paper outlines recent advances in the research of friction dynamics in mechanical systems. The friction model in common use, researches on the friction related self-excited, forced vibration and vibration control are presented. Besides the research methods, investigations on applications of friction dynamics are emphatically discussed, including the braking noise vibration, vibration energy dissipation and friction vibration control in a variety of fields.
-
1 王松年, 苏诒褔, 江亲瑜. 摩擦学原理及应用. 北京: 中国铁 道出版社, 1990. 1-364 2 单颖春, 郝燕平. 干摩擦阻尼块在叶片减振方面的应用与发 展. 航空动力学报, 2001, 16(3): 218-223 3 马晓秋, 王亲猛. 带干摩擦阻尼结构叶/盘系统动力学分析. 航空动力学报, 2002, 17(1): 110-114 4 Petrov E P. Advanced analysis and optimization of nonlinear resonance vibrations in gas-turbine structures with friction and gaps. In: Petrov E P. IUTAM Symposium on Emerging Trends in Rotor Dynamics. Berlin: Springer,2011. 297-307 5 Petrov E P. Recent advances in numerical analysis of nonlinear vibrations of complex structures with friction contact interfaces. Progress in Industrial Mathematics at ECMI 2006, 2008, 12(11): 220-224 6 白鸿柏, 黄协清. 干摩擦振动系统响应计算方法研究综述. 力 学进展, 2001, 31(4): 527-534 7 杨世文, 郑慕侨. 摩擦力非线性建模与仿真. 系统仿真学报,2002, 14(10): 1365-1368 8 雷森, 塞巴, 明斯利, 等. 摩擦阻尼器抑制结构振动的研究. 北方交通大学学报, 2000, 24(1): 42-49 9 白鸿柏, 黄协清. 摩擦系数随速度变化振动系统Fourie 级数 计算方法研究. 机械科学与技术, 2000, 19(5): 745-746 10 Dankowicz H. On the modeling of dynamic friction phenomena. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift fur Angewandte Mathematik und Mechanik, 1999, 79(6): 399-409 11 丁旺才, 张有强, 张庆爽. 含干摩擦振动系统的非线性动力学 分析. 工程力学, 2008, 25(10): 212-217 12 Berger E J. Friction modeling for dynamic system simulation. Applied Mechanics Reviews, 2002, 55(6): 535-577 13 刘丽兰, 刘宏昭, 吴子英, 等. 机械系统中摩擦模型的研究进 展. 力学进展, 2008, 38(2): 201-213 14 Armstrong-H′elouvry B. Control of Machines with Friction. Boston: Kluwer Academic Publishers, 1991. 15 Rabinowicz E. The nature of the static and kinetic coefficients of friction. Journal of Applied Physics, 1951,22(11): 1373-1379 16 Stribeck R. Die wesentlichen Eigenschaften der Gleit-und Rollenlager-The key qualities of sliding and roller bearings. Zeitschrift des Vereines Seutscher Ingenieure, 1902,46(38,39): 1342-48, 1432-37 17 Johannes V I, Green M A, Brockley C A. The role of the rate of application of the tangential force in determining the static friction coefficient. Wear, 1973, 24(3): 381-385 18 Richardson R S H, Nolle H. Surface friction under timedependent loads. Wear, 1976, 37(1): 87-101 19 Hess D P, Soom A. Friction at a lubricated line contact operating at oscillating sliding velocities. Journal of Tribology, 1990, 112(1): 147-152 20 Canudas de Wit C, Olsson, H, Astrom K J, et al. A new model for control of systems with friction. Automatic Control, IEEE Transactions on, 1995, 40(3): 419-425 21 Awrejcewicz J, Olejnik P. Analysis of dynamic systems with various friction laws. Applied Mechanics Reviews,2005, 58(6): 389-411 22 Hartog J P D. Forced vibration with combined coulomb and viscous friction. Transactions of the ASME, APM,1931, 53(9): 107-115 23 Hartog J P D. Mechanical Vibrations. New York: McGraw-Hill, 1959. 1-373 24 Morin A J. New friction experiments carried out at Metz in 1831-1833. Proceedings of the French Royal Academy of Sciences, 1833, 4: 1-128 25 Bo L C, Pavelescu D. The friction-speed relation and its influence on the critical velocity of stick-slip motion. Wear, 1982, 82(3): 277-289 26 Tustin A. The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems. Part IIA: Automatic Regulators and Servo Mechanisms, Journal of the Institution of Electrical Engineers, 1947,94(1): 143-151 27 Armstrong-H′elouvry B. Stick-slip arising from stribeck friction. In: Proceedings of IEEE International Conference on Robotics and Automation. 1990.1377-1382 28 Armstrong B. Friction: Experimental determination, modeling and compensation. In: IEEE Int. Conf. Robotics and Automation. 1988. 1422-1427 29 Ge S S, Lee T H, Ren S X. Adaptive friction compensation of servo mechanisms. International Journal of Systems Science, 2001, 32(4): 523-532 30 Wit C C D, Carrillo J. A modified EW-RLS algorithm for systems with bounded disturbances. Automatica, 1990,26(3): 599-606 31 Thomsen J J, Fidlin A. Analytical approximations for stick-slip vibration amplitudes. International Journal of Non-linear Mechanics, 2003, 38(3): 389-403 32 Bengisu M T, Akay A. Stability of friction-induced vibrations in multi-DOF systems, friction-induced vibration. Chatter, Squeal, and Chaos, ASME, 1992, 49: 57-64 33 de Velde F V, Baets P D. Mathematical approach of the influencing factors on stick-slip induced by decelerative motion. Wear, 1996, 201: 80-93 34 Dupont P E. Avoiding stick-slip through pd control, IEEE Trans. Autom. Control, 1994, 39(5): 1094-1097 35 Iurian C, Ikhouane F, Rodellar J, et al. Identification of a system with dry friction: External research report. Institut d' Organitzacid i Control de Sistemes Industrials,2005. 4-6 36 Ravanbod-Shirazi L, Besancon-Voda A. Friction identification using the Karnopp model, applied to an electro pneumatic actuator. Journal of Systems and Control Engineering, 2003, 217(2): 123-138 37 Ha J L, Han C F, Chang J R. Effects of frictional models on the dynamic response of the impact drive mechanism. Journal of Vibration and Acoustics, 2006, 128(1): 88-96 38 Sargin M. Stress-strain Relationships for Concrete and the Analysis of Structural Concrete Sections. Waterloo: Solid Mechanics Division, University of Waterloo, 1971. 1-167 39 Ramberg W, Osgood W R. Description of stress-strain curves by three parameters. Technical Note, 1943,902(19930081614): 1-28 40 Dahl P R. Solid friction damping of mechanical vibrations. AIAA Journal, 1976, 14(12): 1675-1682 41 Dahl P R. Solid Friction Damping of Spacecraft Vibrations. In: AIAA Guidance and Control Conf Boston.1975. 75-1104 42 王毅, 何朕, 王广雄. 一种实用的摩擦模型. 电机与控制学 报, 2011, 15(8): 59-63 43 Krasnoselskij M A, Pokrovskij A V. Systems with Hysteresis. California: Springer Verlag, 1989. 1-410 44 曾祥进, 黄心汉, 王敏. 基于Dahl 模型的压电陶瓷微夹钳控 制研究. 中国机械工程, 2008, 19(7): 766-769 45 Bohlin T. A case study of grey box identification. Automatica, 1994, 30(2): 307-318 46 Olsson H. Friction models and friction compensation. Control, 1998, 4(3): 1-37 47 Earles S W E, Williams E J. A linearized analysis for frictionally damped systems. Journal of Sound and Vibration, 1972, 24(4): 445-458 48 张强星, Sainsbury M G. 干摩擦振动系统的简化. 振动与冲 击, 1987, 1: 42-58 49 赵岩, 林家浩, 郭杏林. 桥梁滞变非线性随机地震响应分析. 计算力学学报, 2005, 22(2): 145-148 50 Oden J T, Martins J A C. Models and computational methods for dynamic friction phenomena. Computer Methods in Applied Mechanics and Engineering, 1985,52(1-3): 527-634 51 Haessig D A, Friedland B. On the modeling and simulation of friction. Journal of Dynamic Systems, Measurement, and Control, 1991, 113(3): 354-362 52 Hornstein A. Dynamical modeling with application to friction phenomena: [Ph.D. Thesis]. G¨ottingen: Nieders¨achsische Staats-und Universit¨atsbibliothek G¨ottingen, 2005. 1-158 53 刘慧慧. 基于速度相关和LuGre 摩擦模型的滑动稳定性分 析. [硕士论文]. 西安: 西安理工大学, 2008. 1-49 54 李勇, 左曙光, 雷镭, 等. 基于LuGre 摩擦模型的轮胎多边 形磨损机理分析. 振动与冲击, 2010, 29(9): 108-112 55 陈剑锋, 刘昊, 陶国良. 基于LuGre 摩擦模型的气缸摩擦力 特性实验. 兰州理工大学学报, 2010, 36(3): 55-59 56 谭文斌, 李醒飞, 向红标, 等. 应用稳态误差分析辨识LuGre 模型参数. 光学精密工程, 2011, 19(3): 664-671 57 Wit C C D, Lischinsky P. Adaptive friction compensation with partially known dynamic friction model. International Journal of Adaptive Control and Signal Processing,1997, 11(1): 65-80 58 Madi M, Khayati K, Bigras P. Parameter estimation for the LuGre friction model using interval analysis and set inversion. In: International Conference on Systems, Man and Cybernetics, IEEE, 2004. 428-433 59 Iwan W D. On a class of models for the yielding behavior of continuous and composite systems. Journal of Applied Mechanics, 1967, 34(3): 612-617 60 霍林J, 著, 摩擦学原理. 上海交通大学摩擦学研究室译. 北 京: 机械工业出版社. 1981. 166-191 61 卡尔克J J, 著, 三维弹性体的滚动接触. 李自力译. 成都: 西 南交通大学出版社1993. 1-61 62 郭进龙. 受力体变形对滚动摩擦阻力的影响. 甘肃科技,2006, 22(8): 146-147 63 郭少英. 滚动中的摩擦力问题. 邯郸职业技术学院学报,2000,(2): 8-10 64 黄雪兵, 蒋小平, 夏光琼, 等. 橡胶轮胎与硬质地面的滚动 摩擦研究. 西南师范大学学报(自然科学版), 2009, 34(4):34-37 65 段文. 滚动摩擦油缸液压式标准力源指数研究. [硕士论文]. 吉林: 吉林大学, 2011 66 刘凯, 牛世勇, 刘中, 等. 滚柱轴承离合器滚动摩擦功耗分析. 机械科学与技术, 1998, 17(4): 603-604 67 Altintas Y, Weck M. Chatter stability of metal cutting and grinding. CIRP Annals-Manufacturing Technology,2004, 53(2): 619-642 68 Richard T. Self-excited stick-slip oscillations of drag bits: [Ph.D. Thesis]. Minnesota: University of Minnesota, 2001 69 Bilkay O, Anlagan O. Computer simulation of stick-slip motion in machine tool slideways. Tribology International, 2004, 37(4): 347-351 70 陈予恕, 曹登庆, 吴志强. 非线性动力学理论及其在机械系 统中应用的若干进展. 宇航学报, 2007, 28(4): 794-804 71 Nayebi A, Mauvoisin G, Vaghefpour H. Modeling of twist drills wear by a temperature-dependent friction law. Journal of Materials Processing Technology, 2008, 207(1-3):98-106 72 Guibert N, Paris H, Rech J. A numerical simulator to predict the dynamical behavior of the self-vibratory drilling head. International Journal of Machine Tools and Manufacture, 2008, 48(6): 644-655 73 左曙光, 苏虎, 王纪瑞. 滚动汽车轮胎自激振动仿真及其影 响因素分析. 振动与冲击, 2012, 31(4): 18-24 74 管迪华, 宿新东. 制动振动噪声研究的回顾, 发展与评述. 工 程力学, 2004, 21(4): 150-155 75 Kinkaid N M. On the nonlinear dynamics of disc brake squeal: [Ph. D. thesis]. Berkeley: University of California,2004 76 张瑞丽, 汤志勇. 轨道车辆轮轨噪声研究综述. 河南科技,2011, (5): 88-89 77 李博, 丁千, 陈艳. 刹车系统摩擦自激振动的数值研究. 科技 导报, 2008, 25(??): 28-32 78 Hinrichs N, Oestreich M, Popp K. Dynamics of oscillators with impact and friction. Chaos, Solitons & Fractals,1997, 8(4): 535-558 79 Awrejcewicz J, Olejnik P. Friction pair modeling by a 2DoF system: Numerical and experimental investigations. International Journal of Bifurcation and Chaos in Applied Sciences and EndIneering, 2005, 15(6): 1931-1944 80 Ding Q, Leung A Y T, Cooper J E. Dynamic analysis of a self-excited hysteretic system. Journal of Sound and Vibration, 2001, 245(1): 151-164 81 Masiani R, Capecchi D, Vestroni F. Resonant and coupled response of hysteretic two-degree-of-freedom systems using harmonic balance method. International Journal of Non-linear Mechanics, 2002, 37(8): 1421-1434 82 Kang J, Krousgrill C M, Sadeghi F. Oscillation pattern of stick-slip vibrations. International Journal of Non-linear Mechanics, 2009, 44(7): 820-828 83 Galvanetto U. Some discontinuous bifurcations in a twoblock stick-slip system. Journal of Sound and Vibration,2001, 248(4): 653-669 84 Dankowicz H, Nordmark A B. On the origin and bifurcations of stick-slip oscillations. Physica D: Nonlinear Phenomena, 2000, 136(3-4): 280-302 85 Bernardo M D, Kowalczyk P, Nordmark A. Sliding bifurcations: A novel mechanism for the sudden onset of chaos in dry friction osccillators. International Journal of Bifurcation and Chaos, 2003, 13(10): 2935-2948 86 黄毅, 丁千. 内共振系统的干摩擦自激振动. 振动与冲击,2008, 27(5): 103-104 87 Guran A, Pfeiffer F, Popp K. Dynamics with Friction: Modeling, Analysis and Experiment. Singapore: World Scientific Pub Co Inc, 2001. 1-332 88 Popp K, Hinrichs N, Oestreich M. Dynamical behaviour of a friction oscillator with simultaneous self and external excitation. Sadhana, 1995, 20(2): 627-654 89 Budd C, Dux F. Chattering and related behaviour in impact oscillators. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1994, 347(1683): 365-389 90 Foale S, Bishop S.R. Dynamical complexities of forced impacting systems. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1992, 338(1651): 547-556 91 Pfeiffer F, Glocker C. Multibody Dynamics with Unilateral Contacts. New York: Wiley Online Library, 1996. 92 Brockley C A, Ko P L. Quasi-harmonic friction-induced vibration. ASME Journal of lubrication technology, 1970,92: 550-556 93 Hinrichs N, Oestreich M, Popp K. On the modeling of friction oscillators. Journal of Sound and Vibration, 1998,216(3): 435-459 94 廖世俊, 金丰年, 方岱宁. 超越摄动: 同伦分析方法基本思想 及其应用. 中国学术期刊文摘, 2008, 14(11): 1-1 95 张海涛, 丁千. 干摩擦自激振动周期解的同伦方法. 振动与 冲击, 2011, 30(8): 153-156 96 尹皓, 李耀增, 辜小安. 高速铁路列车运行噪声特性研究. 铁 道劳动安全卫生与环保, 2009, 36(5): 221-224 97 王光芦, 刘达德. 我国高速铁路噪声特性研究. 铁道机车车 辆, 2001, 2(36-40) 98 沈志云. 高速列车的动态环境及其技术的根本特点. 铁道学 报, 2006, 28(4): 1-5 99 Mills H R. Brake squeak. Institution of Automobile Engineers,1938 100 陈光雄, 周仲荣, 谢友柏. 摩擦噪声研究的现状和进展. 摩擦 学学报, 2000, 20(6): 478-481 101 Kinkaid N M, O'Reilly O M, Papadopoulos P. Automotive disc brake squeal. Journal of sound and vibration, 2003,267(1): 105-166 102 Giannini O, Akay A, Massi F. Experimental analysis of brake squeal noise on a laboratory brake setup. Journal of Sound and Vibration, 2006, 292(1-2): 1-20 103 张瑞亭, 赵云生. 高速列车的减振降噪技术. 国外铁道车辆,2005, 42(2): 10-16 104 Ibrahim R A, Madhavan S, Qiao S L, et al. Experimental investigation of friction-induced noise in disc brake systems. International Journal of Vehicle Design, 2000,23(3): 218-240 105 张振淼. 城市轨道交通环境噪声的评价与控制以及衰减噪声 的途径. 地铁与轻轨, 2001, 2: 20-23 106 Kao T K, Richmond J W, Douarre A. Brake disc hot spotting and thermal judder: an experimental and finite element study. International Journal of Vehicle Design,2000, 23(3): 276-296 107 Spurr R T. A theory of brake squeal. Proceedings of the Institution of Mechanical Engineers: Automobile Division, 1961 15(1): 33-52 108 Leine R I, Van Campen D H, De Kraker A, et al. Stick-slip vibrations induced by alternate friction models. Nonlinear Dynamics, 1998, 16(1): 41-54 109 Pontes B R, Oliveira V A, Balthazar J M. On frictiondriven vibrations in a mass block-belt-motor system with a limited power supply. Journal of Sound and Vibration,2000, 234(4): 713-723 110 Vielsack P. Stick-slip instability of decelerative sliding. International Journal of Non-linear Mechanics, 2001,36(2): 237-247 111 Aronov V, D'souza A F, Kalpakjian S, et al. Interactions among friction, wear, and system stiffness-Part 2: Vibrations induced by dry friction. Journal of Tribology, 1984,106(1): 59-64 112 Giannini O, Massi F. Characterization of the highfrequency squeal on a laboratory brake setup. Journal of Sound and Vibration, 2008, 310(1-2): 394-408 113 Giannini O, Sestieri A. Predictive model of squeal noise occurring on a laboratory brake. Journal of Sound and Vibration, 2006, 296(3): 583-601 114 Hochlenert D, Hagedorn P. Control of disc brake squealmodelling and experiments. Structural Control and Health Monitoring, 2006, 13(1): 260-276 115 Baba H, Okade M, Takeuchi T. Study on reducing low frequency brake squeal-from modal analysis of mounting bracket. JSAE Review, 1995, 16(3): 307-307 116 Nishiwaki M, Harada H, Okamura H, et al. Study on disc brake squeal. SAE Technical Paper 890864, 1989, 117 Awrejcewicz J, Pyryev Y. Dynamics of a two-degrees-offreedom system with friction and heat generation. Communications in Nonlinear Science and Numerical Simulation, 2006, 11(5): 635-645 118 陈小悦. 鼓式制动器低频振颤的研究. [博士论文]. 北京: 清 华大学, 1988. 119 余为高, 于学华. 应用有限元法对盘式制动器制动噪声分析. 科学技术与工程, 2009, 9(12): 3234-3236 120 周昌祁, 余晓星. 盘式制动器制动噪声影响因素的有限元分 析. 汽车工程师, 2011, 1: 44-47 121 罗明军, 王文林. 汽车盘式制动器制动尖叫的分析. 南昌大 学学报(工科版), 2009, 31(1): 72-74 122 宿新东, 管迪华. 利用子结构动态特性优化设计抑制制动器 尖叫. 汽车工程, 2003, 25(2): 167-170 123 孟宪皆, 王欢, 鞠丽娟. 制动尖叫问题研究综述. 山东理工大 学学报(自然科学版), 2007, 21(6): 19-24 124 Beloiu D M, Ibrahim R A. Analytical and experimental investigations of disc brake noise using the frequency-time domain. Structural Control and Health Monitoring, 2006,13(1): 277-300 125 Dewilde P, Van der Veen A J. Time-varying Systems and Computations. Netherlands: Kluwer Academic Pub, 1998 126 Mostaghel N, Davis T. Representations of coulomb friction for dynamic analysis. Earthquake Engineering & Structural Dynamics, 1997, 26(5): 541-548 127 Ekici K, Hall K C. Harmonic balance analysis of limit cycle oscillations in turbomachinery. AIAA Journal, 2011,49(7): 1478-1487 128 Hu H, Guo Y, Zheng M. Harmonic balance approaches for a nonlinear singular oscillator. Journal of Vibration and Shock, 2009, 28(2): 121-123 129 Liu L, Kalm′ar-Nagy T. High-dimensional harmonic balance analysis for second-order delay-differential equations. Journal of Vibration and Control, 2010, 16(7-8): 1189-1208 130 LaBryer A, Attar P J. High dimensional harmonic balance dealiasing techniques for a Duffing oscillator. Journal of Sound and Vibration, 2009, 324(3-5): 1016-1038 131 Shaw S W. On the dynamic response of a system with dry friction. Journal of Sound and Vibration, 1986, 108(2):305-325 132 Masri S F. Forced vibration of the damped bilinear hysteretic oscillator. The Journal of the Acoustical Society of America, 1975, 57(1): 106-112 133 Schlesinger A. Vibration isolation in the presence of coulomb friction. Journal of Sound and Vibration, 1979,63(2): 213-224 134 den Hartog J P. LXXIII. Forced vibrations with combined viscous and coulomb damping. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1930, 9(59): 801-817 135 丁千, 梁以德. 一类非自治滞后-自激系统的主共振与锁模 现象. 力学学报, 2002, 34(1): 123-130 136 Ferri A A. Friction damping and isolation systems. Journal of Vibration and Acoustics, 1995, 117(B, 196 ): 196-206 137 Beards C F. Damping in structural joints. Shock and Vibration Digest, 1992, 38(2): 3-7 138 Mindlin R D, Deresiewicz H. Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics1953, 20(3): 327-344 139 Menq C H, Bielak J, Griffin J H. The influence of microslip on vibratory response, Part I: A new microslip model. Journal of Sound and Vibration, 1986, 107(2):279-293 140 Van De Velde F, De Baets P. Mathematical approach of the influencing factors on stick-slip induced by decelerative motion. Wear, 1996, 201(1-2): 80-93 141 严天宏, 郑钢铁, 黄文虎. 由摩擦阻尼铰实现桁架结构的被 动减振研究. 航空学报, 1999, 20(1): 17-21 142 Whiteman W E, Ferri A A. Displacement-dependent dry friction damping of beam-like structure. Journal of Sound and Vibration, 1996, 198(3): 313-329 143 Lin C C, Lu L Y, Lin G L, et al. Vibration control of seismic structures using semi-active friction multiple tuned mass dampers. Engineering Structures, 2010, 32(10):3404-3417 144 Wang J H, Shieh W L. The influence of a variable friction coefficient on the dynamic behavior of a blade with a friction damper. Journal of Sound and Vibration, 1991,149(1): 137-145 145 Ferri A A, Heck B S. Vibration analysis of dry friction damped turbine blades using singular perturbation theory. Journal of Vibration and Acoustics, 1998, 120(2):588-595 146 徐自力, 李辛毅. 用改进的摩擦模型计算带阻尼结构叶片的 响应. 西安交通大学学报, 1998, 32(1): 42-44 147 Pierre C, Ferri A A, Dowell E H. Multi-harmonic analysis of dry friction damped systems using an incremental harmonic balance method. Journal of Applied Mechanics,1985, 52(4): 958-964 148 Chen J J, Yang B D, Menq C H. Periodic forced response of structures having three-dimensional frictional constraints. Journal of Sound and Vibration, 2000,229(4): 775-792 149 Wang J H, Chen W K. Investigation of the vibration of a blade with friction damper by HBM. Journal of Engineering for Gas Turbines and Power, 1993, 115(2): 294-299 150 丁千, 孙艳红. 弯扭耦合振动阻尼叶片在多谐波激励下的共 振. 振动工程学报, 2004, 17(增刊): 94-96 151 丁千, 孙艳红. 干摩擦阻尼叶片多谐波激振下的共振响应. 非 线性动力学学报, 2004, 11(1): 12-18 152 陈艳, 丁千. 平台和缘板阻尼叶片共振响应的数值分析. 振动 与冲击, 2008, 27(5): 53-55 153 陈波, 郑瑾, 王建平. 高压输电塔的摩擦耗能减震控制. 武汉 理工大学学报, 2009, 31(1): 78-82 154 Taylor J H. A modeling language for hybrid systems. IEEE, 1994. 339-344 155 Taylor J H. Rigorous handling of state events in Matlab. IEEE, 1995. 156-161 156 Taylor J H. Kebede D, Modeling and simulation of hybrid system. IEEE. 1995. 2685-2687 157 Armstrong-H′elouvry B. Stick slip and control in low-speed motion. Automatic Control, IEEE Transactions on, 1993,38(10): 1483-1496 158 Dupont P E, Bapna D. Stability of sliding frictional surfaces with varying normal force. ASME Journal of Vibration and Acoustics, 1994, 116(2): 237-237 159 Armstrong-H′elouvry B, Dupont P, Wit C C D. Friction in servo machines: analysis and control methods. Applied Mechanics Reviews, 1994, 47(7): 275-305 160 Armstrong-H′elouvry B, Dupont P, Wit C C D. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica, 1994,30(7): 1083-1138 161 Chatterjee S, Mahata P. Time-delayed absorber for controlling friction-driven vibration. Journal of Sound and Vibration, 2009, 322(1-2): 39-59 162 Wang Y F,Wang D H, Chai T Y. Active control of frictioninduced self-excited vibration using adaptive fuzzy systems. Journal of Sound and Vibration, 2011, 330(??):4201-4210 163 贾尚帅, 丁千. 刹车系统的摩擦自激振动和控制. 工程力学,2012, 29(3): 252-256 164 Ouyang H. Pole assignment of friction-induced vibration for stabilisation through state-feedback control. Journal of Sound and Vibration, 2010, 329(11): 1985-1991 165 Saha A, Wahi P. Delayed feedback for controlling the nature of bifurcations in friction-induced vibrations. Journal of Sound and Vibration, 2011, 25(5): 6070-6087 166 Ataei M, Atai A A, Mirjavadi S, et al. Application of impulse damper in control of a chaotic friction-induced vibration. Journal of Mechanical Science and Technology,2011, 25(2): 279-285 167 王永富, 王殿辉, 柴天佑. 基于数据挖掘与系统理论建立摩 擦模糊模型与控制补偿: 自动化学报, 2010, 36(3): 412-420 168 王永富, 王殿辉, 柴天佑. 基于状态估计的摩擦模糊建模与 鲁棒自适应控制. 自动化学报, 2011, 37(2): 245-252 -
计量
- 文章访问数: 3586
- HTML全文浏览量: 382
- PDF下载量: 3821
- 被引次数: 0
下载:
