Passive, broadband targeted energy transfer refers to the one-way directed transfer of energy from a primary subsystem to a nonlinear attachment; this phenomenon is realized in damped, coupled, essentially nonlinear impact or particle dynamic vibration absorber (DVA). An impact damper is a passive control device which takes the form of a freely moving mass, constrained by stops attached to the structure under control, i.e. the primary structure. The damping results from the exchange of momentum during impacts between the mass and the stops as the structure vibrates. A particle-based damping system can overcome some limitations of ordinary DVA by using particles as the damping medium and inter- particle interaction as the damping mechanism. Large damping at such family constructions of DVA’s does not bring to destruction an elastic DVA element over in critical cases, when working frequency approaches own frequency of DVA, or when the transitional process of acceleration of rotating machines is slow enough and DVA’s has time to collect large amplitudes of vibrations. The primary structure is modelled as a spring-mass system. In this paper, an efficient numerical approach based on the theoretical-experimental method is proposed to maximize the minimal damping of modes in a prescribed frequency range for general viscous tuned-mass systems. Methods of decomposition and numerical synthesis are considered on the basis of the adaptive schemes. The influence of dynamic vibration absorbers and basic design elastic and damping properties is under discussion. A technique is developed to give the optimal DVA’s for the elimination of excessive vibration in sinusoidal forced rotating system. It is found that the buffered impact damper not only significantly reduces the accelerations, contact force and the associated noise generated by a collision but also enhances the level of vibration control. The interaction of DVA’s and basic design elastic and damping properties is under discussion. One task of this work is to analyze parameters identification of the dynamic vibration absorber and the basic structure. The discrete-continue models of machines dynamics of such rotating machines as water pump with the attachment of particle DVA’s and elongated element with multi mass impact DVA’s are offered. A technique is developed to give the optimal DVA’s for the elimination of excessive vibration in harmonic stochastic and impact loaded systems.
[1] D. J. Inman, Engineering Vibration, Prentice Hall, Englewood Cliffs, 1996.
[2] J. C. Snowdon, Vibration and Shock in Damped Mechanical Systems, Wiley, New York, 1968.
[3] S. Timoshenko, Vibration Problems in Engineering, third ed., Van Nostrand Company, New York, 1955.
[4] J. Ormondroyd, D. B. Den Hartog, The theory of the dynamic vibration absorber, Trans. Am. Soc. Mech.
Engr. 50 (1928) A9–A22.
[5] D. B. Den Hartog, Mechanical Vibrations, fourth ed., McGraw-Hill, New York, 1956.
[6] R. E. D. Bishop, D. B. Welbourn, The problem of the dynamic vibration absorber, Engineering, 174, 1952.
[7] G. B. Warburton, On the theory of the acceleration damper, J. Appl. Mech. 24 (1957) 322–324.
[8] J. B. Hunt, Dynamic Vibration Absorbers, Mechanical Engineering Publications, London, 1979.
[9] J. C. Snowdon, Platelike dynamic vibration absorber, J. Engng. Ind., ASME paper No. 74-WA/DE-15
[10] Korenev B. G. and Reznikov, L. M. 1993. Dynamic Vibration Absorbers: Theory and Technical Applications. Wiley, UK. J.S.
[11] T. Aida, T. Aso, K. Nakamoto, K. Kawazoe, Vibration control of shallow shell structures using shell-type
dynamic vibration absorber, J. Sound Vibration 218 (1998) 245–267.
[12] M. Z. Kolovsky, Nonlinear Dynamics of Active and Passive Systems of Vibration Protection, Springer Verlag, Berlin, 1999.
[13] H. Kauderer, Nichtlineare Mechanik, Springer Verlag, Berlin, 1958.
[14] L. A. Pipes, Analysis of a nonlinear dynamic vibration absorber, J. Appl. Mech. 20 (1953) 515–518.
[15] R. E. Roberson, Synthesis of a nonlinear vibration absorber, J. Franklin Inst. 254 (1952) 105–120.
[16] R. A. Ibrahim. Recent advances in nonlinear passive vibration isolators, Journal of Sound and Vibration
314 (2008) 371–452.
[17] Jongchan Park, Semyung Wang, Malcolm J.Crocker, Mass loaded resonance of a single unit impact damper
caused by impacts and the resulting kinetic energy influx, Journal of Sound and Vibration 323 (2009) 877-895.
[18] M. Saeki, Analytical study of multi-particle damping, Journal of Sound and Vibration 281 (2005)1133-1144.
[19] K. S. Marhadi, V. K. Kinra, Particle impact damping: effect of mass ratio, material, and shape, Journal of
Sound and Vibration 283, 2005, 433–448.
[20] B. M. Shah, D. Pillet, Xian-Ming Bai, L. M. Keer, Q. Jane-Wang, R. Q. Snurr. Construction and characterization of a particle-based thrust damping system. Journal of Sound and Vibration 326, 2009, 489–502.
[21] Diveiev B. Rotating machine dynamics with application of variation-analytical methods for rotors calculation. Proceedings of the XІ Polish – Ukrainian Conference on “CAD in Machinery Design – Implementation
and Education Problems”. – Warsaw, June (2003) 7–17.
[22] Kernytskyy I., Diveyev B., Pankevych B., Kernytskyy N. 2006. Application of variation-analytical methods for rotating machine dynamics with absorber, Electronic Journal of Polish Agricultural Universities, Civil Engineering, Volume 9, Issue 4. Available Online http://www.ejpau.media.pl/
[23] Stocko Z., Diveyev B., Topilnyckyj V. Diskrete-cotinuum methods application for rotating machineabsorber
interaction analysis // Journal of Achievements in Materials and Manufacturing Engineering. VOL. 20, ISS. 1–2, January-February (2007) 387–390.
[24] Hennadiy Cherchyk, Bohdan Diveyev, Yevhen Martyn, Roman Sava, Parameters identification of particle
vibration absorber for rotating machines Proceeding of ICSV21, 13–17 July, 2014, Beijing/China.
[25] Ланець О. С. Високоефективні міжрезонансні вібраційні машини з електромагнітним приводом (Теоретичні основи та практика створення). – Львів : Вид-во Нац. ун-ту “Львівська політехніка”, 2008. – 324 с.
[26] Diveyev B., Butyter I., Shcherbyna N. Influence of clamp conditions and material anisotropy on frequency spectra of laminated beams // Mechanics of Composite Materials. – Vol. 47. – No 2 (2011). – 149–160.
[27] Nykolyshyn M. M., Diveyev B. M., Smol’skyi A. H. Frequency characteristics of elastically fastened cantilever laminated beams // Journal of Mathematical Sciences (2013) 194 270–277.