Xác minh thực nghiệm và số học về phân nhánh và hỗn loạn trong hệ thống va chạm cam-đẩy

Aguiar, C.E., Laudares, F.: Listening to the coefficient of restitution and the gravitational acceleration of a bouncing ball. Am. J. Phys. 71, 499–501 (2003) Akiba, K., Sakai, H.: A comprehensive simulation of high speed driven valve trains. SAE Transactions — Society for Automotive Engineers (1981) Azejczyk, B., Kapitaniak, T., Wojewoda, J., Barron, R.: Experimental-observation of intermittent chaos in a mechanical system with impacts. J. Sound Vib. 178, 272–275 (1994) Barkan, P.: Calculation of high speed valve motion with a flexible overhead linkage. SAE Transactions — Society for Automotive Engineers 61, 687–700 (1953) Bayly, P.V., Virgin, L.N.: An experimental study of an impacting pendulum. J. Sound Vib. 164(2), 364–374 (1993) Bernstein, A.: Listening to the coefficient of restitution. Am. J. Phys. 45, 41–44 (1977) Blazejczyk-Okolewska, B., Czolczynski, K., Kapitaniak, J., Wojewoda, T.: Chaotic Mechanics in Systems with Impacts and Friction. World Scientific, Singapore (1999) Brogliato, B.: Nonsmooth Mechanics. Springer, London (1999a) Brogliato, B.: Nonsmooth Mechanics — Models, Dynamics and Control. Springer-Verlag, New York (1999b) Brooker, G.: Development of a W-band scanning conscan antenna based on thetwist-reflector concept. In: Proceedings of the ICMMT — 2nd International Conference on Microwave and Millimeter Wave Technology, Sydney, NSW, pp. 436–439 (2000) Budd, C., Piiroinen, P.: Corner bifurcations in non-smoothly forced impact oscillators. Physica D 220, 127–145 (2006) Carlini, A., Rivola, A., Dalpiaz, G., Maggiore, A.: Valve motion measurements on motorbike cylinder heads using high speed laser vibrometer. In: Proceedings of the Conference on Vibration Measurements by Laser Techniques Ancona, Italy (2002) Caton, J.A.: Operating characterising of a spark-ignition engine using the second law of thermodynamics: effect of speed and load. SAE Transactions, Paper 2000-01-0952, Detroit, MI (2000) Chae, A., Hollerbach, J.: Dynamic stability issues in force control of manipulators. Proc. IEEE Int. Conf. Robot. Autom. 4, 890–896 (1987) Choi, T.D., Eslinger, O.J., Kelley, C.T., David, J.W., Etheridge, M.: Optimization of automotive valve train components with implicit filtering. Optim. Eng. 1(1), 9–27 (2000) Demeulenaere, B., Schutter, J.D.: Dynamically compensated cams for rigid cam-follower systems with fluctuating cam speed and dominating inertial forces. In: IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Como, Italy, pp. 763–767 (2001) di Bernardo, M., Alzate, R., Santini, S.: Deliverable wp6. D6.4: experimental Validation of non-smooth Bifurcations. Part III. Technical report, SICONOS Project — University of Naples (2006) di Bernardo, M., Budd, C., Champneys, A., Kowalczyk, P., Nordmark, A., Olivar, G., Piiroinen, P.: Bifurcations in nonsmooth dynamical systems. SIAM — Society for Industrial and Applied Mathematics. Review (2006) di Bernardo, M., Budd, C.J., Champneys, A.R., Kowalczyk, P.: Bifurcation and Chaos in Piecewise Smooth Dynamical Systems — Theory and Applications. Springer-Verlag, UK (2007) Dickrell, D.J., Dooner, D.B., Sawyer, W.G.: The evolution of geometry for a wearing circular cam: analytical and computer simulation with comparison to experiment. J. Tribol. 125, 187–192 (2003) Dresner, T.L., Barkan, P.: New methods for the dynamical analysis of flexible single-input and multi-input cam-follower systems. J. Mech. Des. 17, 151 (1995) Hamidzadeh, H.R., Dehghani, M.: Dynamic stability of flexible cam follower systems. Proc. Inst. Mech. Eng., Part K: J. Multibody Dyn. 213(1), 45–52 (1999) Hengstler: Incremental Shaft Encoders: Type RI 58. Technical report, HENGSTLER, http://www.hengstler.de/ (2001) Hengstler: DS1104 R&D Controller Board: Features. Technical report, dSPACE Inc., http://www.dspaceinc.\- com/ww/en/inc/home.cfm (2005) Heywood, J.: Internal Combustion Engine Fundamentals. McGraw-Hill, New York (1998) Higham, D.J., Higham, N.J.: Matlab Guide. Society for Industrial and Applied Mathematics, Philadelphia (2000) Hinrichs, N., Oestreich, M., Popp, K.: Experiments, modelling and analysis of friction and impact oscillators. Zeitschrift fur angewandte mathematik und mechanik 79, S95–S96 (1999) Koster, M.P.: Vibrations of Cam Mechanisms. Phillips Technical Library Series, Macmillan Press Ltd., London (1974) Kushwaha, M., Rahnejat, H.: Valve-train dynamics: a simplified tribo-elasto-multi-body analysis. Proc. Inst. Mech. Eng., Part K: J. Multibody Dyn. 214, 1464–4193 (2001) Labous, L., Rosato, A., Dave, R.N.: Measurement of collisional properties of spheres using high-speed video analysis. Phys. Rev. E 56, 5717–5725 (1997) Leine, R., Nijmeijer, H.: Dynamics and Bifurcations in Non-Smooth Mechanical Systems. Springer-Verlag (2004) Liou, J.J., Huang, G., Hsu, W.: Experimental study of a variable pressure damper on an automotive valve train. J. Mech. Des. 120(2), 279–281 (1998) Mosekilde, E., Zhusubalyev, Z.: Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems. World Scientific, Singapore (2003) Nordmark, A.B.: Non-periodic motion caused by grazing incidence in impact oscillators. J. Sound Vib. 2, 279–297 (1991) Norton, R.: Cam Design and Manufacturing Handbook. Industrial-Press, New York (2002) Norton, R., Eovaldi, J., Westbrook, D., Stene, R.L.: Effect of the valve-cam ramps on valve train dynamics. SAE Transactions — Society for Automotive Engineers, Paper 1999-01-0801 (1999) Oestreich, M., Hinrichs, N., Popp, K., Budd, C.J.: Analytical and experimental investigation of an impact oscillator. In: Proceedings of the ASME — 16th Biennal Conference on Mechanical Vibrations and Noise DETC97VIB-3907, pp. 1–11 (1997) Osorio, G., Di Bernardo, M., Santini, S.: Chattering and complex behavior of a cam-follower system. In: Proceedings of the European Nonlinear Dynamics Conference (ENOC). Eindhoven, The Netherlands (2005) Piiroinen, P.T., Virgin, L.N., Champneys, A.R.: Chaos and period-adding; experimental and numerical verification of the grazing bifurcation. J. Nonlinear Sci. 14, 383–404 (2004) Raghavacharyulu, E., Rao, J.: Jump phenomena in cam-follower systems a continuous-mass-model approach. In: Proceedings of the Winter Annual Meeting, ASME, New York, NY pp. 1–8 (1976) Rothbart, H.A.: Cams-Design, Dynamics, and Accuracy. Wiley (1956) Sanyodenki: SANMOTION Q: AC Servo Systems. Technical report, Sanyo-Denki Ltd., http://www.sanyo-denki.com/ (2002) Seidlitz, S.: Valve train dynamics — a computer study. SAE Transactions — Society for Automotive Engineers, SAE Paper 890620 (1989) Sherman, R.H., Blumberg, P.N.: The influence of induction and exhaust processes on emissions and fuel consumption in the spark ignited engine. SAE Transactions — Society for Automotive Engineers, Paper 770990 (1997) Stensgaard, I., Laegsgaard, E.: Listening to the coefficient of restitution — revisited. Am. J. Phys. 69, 301–305 (2001) Stensson, A., Nordmark, A.: Experimental investigation of some consequences of low velocity impacts in the chaotic dynamics of a mechanical system. Philosophical transactions: physical sciences and engineering. Roy. Soc. Lond. A 347, 439–448 (1994) Teodorescu, M., Votsios, V., Rahnejat, H., Taraza, D.: Jounce and impact in cam-tappet conjunction induced by the elastodynamics of valve train system. Meccanica 41(2), 157–171 (2006) Todd, M.D., Virgin, L.N.: An experimental impact oscillator. Chaos Solitons Fractals 8, 699–714 (1997) Tumer, T.S., Unlusoy, Y.S.: Nondimensional analysis of jump phenomenon in force-closed cam mechanisms. Mech. Mach. Theory 6, 421–432 (1991) Urin, A.M.: Experience with the use of PK-profile joints in agricultural machines. Research, design, calculations, and experience of operation of chemical equipment technology. Chem. Pet. Eng. 34(8), 534–536 (1998) Wiercigroch, M., de Kraker, B.: Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities. World Scientific Publishing, Singapore (2000) Wiercigroch, M., Pavlovskaia, E.: Nonlinear dynamics of vibro-impact systems: Theory and experiments. Mod. Pract. Stress Vib. Anal. 440-4, 513–520 (2003) Yan, H.S., Tsai, M., Hsu, M.H.: An experimental study of the effect of the cam speed on cam-follower systems. Mech. Mach. Theory 31, 3971–412 (1996) Zang, W., Ye, M.: Local and global bifurcations of valve mechanism. Nonlinear Dyn. 6, 301–316 (1994)