Abstract
The exchange of vibrational energy between an external source and subsystems of the cyclic mechanism schematized as a dynamic model with slowly varying parameters is studied. The conditions are obtained whose violation yields the formation of regions where the energy of vibrations appears in the time interval of the kinematic cycle, even in the absence of external perturbations. It was shown that this effect occurs due to the operation of the external source upon implementation of nonstationarity of dynamic constraints and the dynamic instability of the system on a finite time interval. The dynamic effects and key conclusions are illustrated by results of computer simulation. Engineering recommendations for decreasing the vibrational activity of cyclic mechanisms are presented.
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References
Vulfson II (1990) Kolebaniya mashin s mekhanizmami tsiklovogo deistviya (Oscillations for machines with cyclic mechanisms). Leningrad, Mashinostroenie (in Russian)
Vulfson I (2015) Dynamics of cyclic machines. Springer, Berlin (Translation from Russian, Politechnika, 2013)
Vul’fson II (2011) Phase synchronism and space localization of vibrations of cyclic machine tips with symmetrical dynamic structure. J Mach Manuf Reliab 40(1):12–18
Vul’fson II, Preobrazhenskaya MV (2008) Investigation of vibration modes excited upon reversal in gaps of cyclic mechanisms connected with a common actuator. J Mach Manuf Reliab 37(1):33–38
Vulfson I (1989) Vibroactivity of branched and ring structured mechanical drives. Hemisphere Publishing Corporation, New York (Translation from Russian, Mashinostroenie, Leningrad, 1986)
Indeitsev DA, Kuznetsov NG, Motygin OV et al (2007) Lokalizatsiya lineinykh voln (Linear waves localization), St. Izd. St. Petersburg University, Petersburg (in Russian)
Manevich LI, Mikhlin DV, Pilipchuk VN (1989) Metod normal’nykh kolebanii dlya sushchestvenno nelineinykh sistem (Normal oscillations method for strongly nonlinear systems). Nauka, Moscow (in Russian)
Brillouin L, Parodi M (1953) Wave Propagation in periodic structures. Dover Publications, New York
Kovaleva A, Manevitch L, Kosevich Y (2011) Fresnel integrals and irreversible energy transfer in an oscillatory system with time-dependent parameters. Phys Rev E 83:026602-1–026602-12
Kosevich YuA, Manevich LI, Manevich EL (2010) Oscillation analog of non_adiabatic Landau—Zener tunneling and possibility for creating the new type of power traps. Usp Fiz Nauk 180(12):1331–1334
Babakov IM (1965) Teoriya kolebanii (Oscillation theory). Nauka, Moscow (in Russian)
Mitropol’skii YuA (1964) Problemy asimptoticheskoi teorii nestatsionarnykh kolebanii (Problems in asymptotic theory of nonstationary jscillations). Nauka, Moscow (in Russian)
Vulfson II (2014) Dynamic analog to multiple-unit drives of functional members of cyclic machines that forms lattice oscillatory loops. J Mach Manuf Reliab 43(6):3–9
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Vulfson, I.I. (2015). Vibrations Excitation in Cyclic Mechanisms Due to Energy Generated in Nonstationary Constraints. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-15684-2_14
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DOI: https://doi.org/10.1007/978-3-319-15684-2_14
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