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Please use this identifier to cite or link to this item: https://oldena.lpnu.ua/handle/ntb/42882
Title: Substantiation of parameters and analysis of operational characteristics of oscillating systems of vibratory finishing machines
Authors: Korendiy, Vitaliy
Zakharov, Viktor
Affiliation: Lviv Polytechnic National University
ISKRA PJSC
Bibliographic description (Ukraine): Korendiy V. Substantiation of parameters and analysis of operational characteristics of oscillating systems of vibratory finishing machines / Vitaliy Korendiy, Viktor Zakharov // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 3. — No 2. — P. 67–78.
Bibliographic description (International): Korendiy V. Substantiation of parameters and analysis of operational characteristics of oscillating systems of vibratory finishing machines / Vitaliy Korendiy, Viktor Zakharov // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 3. — No 2. — P. 67–78.
Is part of: Ukrainian Journal of Mechanical Engineering and Materials Science, 2 (3), 2017
Journal/Collection: Ukrainian Journal of Mechanical Engineering and Materials Science
Issue: 2
Volume: 3
Issue Date: 19-Oct-2017
Publisher: Lviv Politechnic Publishing House
Place of the edition/event: Lviv
Keywords: lap
vibratory finishing machine
lapping
oscillations
oscillating system
inertial parameters
stiffness
amplitude-frequency characteristic
Number of pages: 12
Page range: 67-78
Start page: 67
End page: 78
Abstract: The calculation diagrams of oscillating systems and operation features of vibratory finishing machines are considered. The mathematical models of three-mass and four-mass oscillating systems are presented. The amplitude values of the oscillating masses displacements are derived. The functions of inertial and stiffness parameters optimization are formed. The optimization problems are solved with a help of MathCAD software. On the basis of synthesized inertial and stiffness parameters, the amplitude-frequency characteristics of the oscillating systems of vibratory finishing machines are formed and analyzed. In order to verify the validity of the proposed theoretical approaches, the simulation of the mathematical model of the oscillating system motion is carried out by means of numerical solving of the system of differential equations of the oscillating masses motion. The proposed structural diagrams and the operation schemes of the vibratory finishing machine, as well as the derived analytical formulas may be used by designers, researchers and technologists while improving existent and developing new equipment for vibro-finishing treatment.
URI: https://ena.lpnu.ua/handle/ntb/42882
Copyright owner: © Національний університет „Львівська політехніка“, 2017
© Korendiy V., Zakharov V., 2017
References (Ukraine): [1] P. S. Bernik, and L. V. Jaroshenko, Vibracionnye tehnologicheskie mashiny s prostranstvennymi kolebanijami rabochih organov [Vibratory technological machines with spatial oscillations of working bodies]. Vinnytsia, Ukraine: VGSHN Publ., 1998, 116 p. [in Russian].
[2] O. S. Lanets, Vysokoefektyvni mizhrezonansni vibratsiini mashyny z elektromahnitnym pryvodom. Teoretychni osnovy ta praktyka stvorennia [High-performance inter-resonant vibratory machines with electromagnetic drive. Theoretical fundamentals and practice of development]. Lviv, Ukraine: Lviv Polytechnic Publishing House, 2008, 324 p. [in Ukrainian].
[3] O. S. Lanets, “Teoriia synfaznykh kolyvan u vibratsiinykh mashynakh z elektromahnitnym pryvodom” [“The theory of in-phase oscillations in vibratory machines with electromagnetic drive”], Vibratsii v tekhnitsi ta tekhnolohiiakh [Vibrations in engineering and technologies], no. 2 (40), pp. 46–59, 2005. [in Ukrainian].
[4] O. V. Havrylchenko, O. S. Lanets, and Ia. V. Shpak, “Teoriia vibratsiinykh mashyn z elektromahnitnym pryvodom ta synfaznym rukhom kolyvalnykh mas z vrakhuvanniam zhorstkosti vibroizoliatoriv” [“The theory of vibratory machines with electromagnetic drive and in-phase motion of oscillating masses taking into account the stiffness of vibration isolators”], Mashynoznavstvo [Machines Science], no. 9, pp. 19–26, 2005. [in Ukrainian].
[5] O. S. Lanets, Ia. V. Shpak, and Iu. P. Sholovii, “Mizhrezonansni vibratsiini prytyralni mashyny z elektromahnitnym pryvodom, rozrobleni na osnovi efektu “Nulovoi zhorstkosti”” [“Inter-Rezonant Vibratory Lapping Machines with Electromagnetic Drive Designed on the Basis of the Effect of "Zero-Stiffness"”], Avtomatyzatsiia vyrobnychykh protsesiv u mashynobuduvanni ta pryladobuduvanni [Industrial Process Automation in Engineering and Instrumentation], vol. 41, pp. 41–48, 2007. [in Ukrainian].
[6] O. S. Lanets, O. V. Havrylchenko, Ia. V. Shpak, and V. M. Zakharov, “Vibratsiina vykinchuvalna mashyna z elektromahnitnym pryvodom” [“Vibratory finishing machine with electromagnetic drive”], UA Patent № 938991, February 27, 2014. [in Ukrainian].
[7] F. Hashimoto and D. B. DeBra, “Modelling and Optimization of Vibratory Finishing Process”, CIRP Ann., vol. 45, no. 1, pp. 303–306, Jan. 1996.
[8] F. Hashimoto and S. P. Johnson, “Modeling of vibratory finishing machines”, CIRP Ann., vol. 64, no. 1, pp. 345–348, Jan. 2015.
[9] R. I. Silin, V. V. Tret’ko, and A. I. Gordeev, “Dinamicheskaja model' i ee realizacija v rezonansnom vibracionnom stanke dlja dovodki ploskih izdelij” [“Dynamic model and its implementation in resonant vibration machine for flat articles grinding”], Vektor nauki Tol'jattinskogo gosudarstvennogo universiteta [Vektor Nauki of Togliatti State University], vol. 3–1 (33–1), pp. 123–128, 2015. [in Russian].
[10] V. F. Makarov and K. R. Muratov, “Analiz oborudovanija dlja finishnoj abrazivnoj obrabotki ploskih precizionnyh poverhnostej izdelij” [“Equipment analysis for finishing abrasive processing of flat precision surfaces of products”], Vestnik Permskogo nacional'nogo issledovatel'skogo politehnicheskogo universiteta. Mashinostroenie, materialovedenie [Bulletin PNRPU. Mechanical engineering, materials science], vol. 19, no. 1, pp. 170–187, 2017. [in Russian].
[11] Y. B. Tian, Z. W. Zhong, and S .J. Tan, “Kinematic analysis and experimental investigation on vibratory finishing”, Int. J. Adv. Manuf. Technol., vol. 86, no. 9–12, pp. 3113–3121, October 2016.
[12] A. Fries, “Apparatus for double-sided, grinding machining of flat workpieces,” US Patent 9004981, 2015.
[13] I. V. Kuzo, O. V. Lanets, and V. M. Gurskyi, “Obhruntuvannia tekhnolohichnoi efektyvnosti dvochastotnykh rezonansnykh vibratsiinykh mashyn z impulsnym elektromahnitnym zburenniam” [“Substantiation of technological efficiency of two-frequency resonant vibration machines with pulse electromagnetic disturbance”], Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu [Scientific Bulletin of National Mining University], vol. 3, p. 71–77, 2013. [in Ukrainian].
[14] O. V. Havrylchenko, V. M. Korendiy, and V. M. Zakharov, “Formuvannia matematychnykh modelei tryi chotyrymasovykh kolyvnykh system vibrovykinchuvalnykh verstativ” [“Formation mathematical model three and four mass oscillatory systems of vibrating finishing machines”], Visnyk Natsionalnoho universytetu "Lvivska politekhnika" [Bulletin of Lviv Polytechnic National University], no. 866, p. 3–12, 2017. [in Ukrainian].
References (International): [1] P. S. Bernik, and L. V. Jaroshenko, Vibracionnye tehnologicheskie mashiny s prostranstvennymi kolebanijami rabochih organov [Vibratory technological machines with spatial oscillations of working bodies]. Vinnytsia, Ukraine: VGSHN Publ., 1998, 116 p. [in Russian].
[2] O. S. Lanets, Vysokoefektyvni mizhrezonansni vibratsiini mashyny z elektromahnitnym pryvodom. Teoretychni osnovy ta praktyka stvorennia [High-performance inter-resonant vibratory machines with electromagnetic drive. Theoretical fundamentals and practice of development]. Lviv, Ukraine: Lviv Polytechnic Publishing House, 2008, 324 p. [in Ukrainian].
[3] O. S. Lanets, "Teoriia synfaznykh kolyvan u vibratsiinykh mashynakh z elektromahnitnym pryvodom" ["The theory of in-phase oscillations in vibratory machines with electromagnetic drive"], Vibratsii v tekhnitsi ta tekhnolohiiakh [Vibrations in engineering and technologies], no. 2 (40), pp. 46–59, 2005. [in Ukrainian].
[4] O. V. Havrylchenko, O. S. Lanets, and Ia. V. Shpak, "Teoriia vibratsiinykh mashyn z elektromahnitnym pryvodom ta synfaznym rukhom kolyvalnykh mas z vrakhuvanniam zhorstkosti vibroizoliatoriv" ["The theory of vibratory machines with electromagnetic drive and in-phase motion of oscillating masses taking into account the stiffness of vibration isolators"], Mashynoznavstvo [Machines Science], no. 9, pp. 19–26, 2005. [in Ukrainian].
[5] O. S. Lanets, Ia. V. Shpak, and Iu. P. Sholovii, "Mizhrezonansni vibratsiini prytyralni mashyny z elektromahnitnym pryvodom, rozrobleni na osnovi efektu "Nulovoi zhorstkosti"" ["Inter-Rezonant Vibratory Lapping Machines with Electromagnetic Drive Designed on the Basis of the Effect of "Zero-Stiffness""], Avtomatyzatsiia vyrobnychykh protsesiv u mashynobuduvanni ta pryladobuduvanni [Industrial Process Automation in Engineering and Instrumentation], vol. 41, pp. 41–48, 2007. [in Ukrainian].
[6] O. S. Lanets, O. V. Havrylchenko, Ia. V. Shpak, and V. M. Zakharov, "Vibratsiina vykinchuvalna mashyna z elektromahnitnym pryvodom" ["Vibratory finishing machine with electromagnetic drive"], UA Patent No 938991, February 27, 2014. [in Ukrainian].
[7] F. Hashimoto and D. B. DeBra, "Modelling and Optimization of Vibratory Finishing Process", CIRP Ann., vol. 45, no. 1, pp. 303–306, Jan. 1996.
[8] F. Hashimoto and S. P. Johnson, "Modeling of vibratory finishing machines", CIRP Ann., vol. 64, no. 1, pp. 345–348, Jan. 2015.
[9] R. I. Silin, V. V. Tret’ko, and A. I. Gordeev, "Dinamicheskaja model' i ee realizacija v rezonansnom vibracionnom stanke dlja dovodki ploskih izdelij" ["Dynamic model and its implementation in resonant vibration machine for flat articles grinding"], Vektor nauki Tol'jattinskogo gosudarstvennogo universiteta [Vektor Nauki of Togliatti State University], vol. 3–1 (33–1), pp. 123–128, 2015. [in Russian].
[10] V. F. Makarov and K. R. Muratov, "Analiz oborudovanija dlja finishnoj abrazivnoj obrabotki ploskih precizionnyh poverhnostej izdelij" ["Equipment analysis for finishing abrasive processing of flat precision surfaces of products"], Vestnik Permskogo nacional'nogo issledovatel'skogo politehnicheskogo universiteta. Mashinostroenie, materialovedenie [Bulletin PNRPU. Mechanical engineering, materials science], vol. 19, no. 1, pp. 170–187, 2017. [in Russian].
[11] Y. B. Tian, Z. W. Zhong, and S .J. Tan, "Kinematic analysis and experimental investigation on vibratory finishing", Int. J. Adv. Manuf. Technol., vol. 86, no. 9–12, pp. 3113–3121, October 2016.
[12] A. Fries, "Apparatus for double-sided, grinding machining of flat workpieces," US Patent 9004981, 2015.
[13] I. V. Kuzo, O. V. Lanets, and V. M. Gurskyi, "Obhruntuvannia tekhnolohichnoi efektyvnosti dvochastotnykh rezonansnykh vibratsiinykh mashyn z impulsnym elektromahnitnym zburenniam" ["Substantiation of technological efficiency of two-frequency resonant vibration machines with pulse electromagnetic disturbance"], Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu [Scientific Bulletin of National Mining University], vol. 3, p. 71–77, 2013. [in Ukrainian].
[14] O. V. Havrylchenko, V. M. Korendiy, and V. M. Zakharov, "Formuvannia matematychnykh modelei tryi chotyrymasovykh kolyvnykh system vibrovykinchuvalnykh verstativ" ["Formation mathematical model three and four mass oscillatory systems of vibrating finishing machines"], Visnyk Natsionalnoho universytetu "Lvivska politekhnika" [Bulletin of Lviv Polytechnic National University], no. 866, p. 3–12, 2017. [in Ukrainian].
Content type: Article
Appears in Collections:Ukrainian Journal of Mechanical Engineering And Materials Science. – 2017. – Vol. 3, No. 2

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