Determination of the vibrating table kinetic energy
DOI:
https://doi.org/10.26906/znp.2022.59.3095Keywords:
vibrating table, lever, vibrator, imbalance, degree of freedom, kinetic energyAbstract
The article determines the total kinetic energy of the vibrating table, in which the vibrator is fixed on a lever vertically in the center under the vibrating plate. To find the total kinetic energy, a kinematic diagram of the vibrating table under study was drawn up, and the functional dependence of the vibrating table total kinetic energy on the factors acting on it obtained. A graph of the change in the vibrating table kinetic energy under study was drawn depending on the lever length, on which the vibrator was fixed. The analysis of the resulting dependence indicates an increase in the kinematic energy of the vibrating table with an increase in the lever length. The obtained kinetic energy is necessary for the development of an above-mentioned equipment mathematical model, which will be compiled later using Lagrange equations of the second kind
References
Nazarenko I.I. Vibrational Machines and Processes in the Construction Industry: A textbook / I.I. Nazarenko. – Kyiv: KNUBA, 2007. – 230 p.
Dudar I.N. Theoretical Foundations of Technology for Products Made of Pressed Concretes: Monograph / I.N. Dudar. – Vinnytsia: UNIVERSUM-Vinnytsia, 2006. – 89 p. – ISBN 966-641-163-6.
Gusev B.V., Zazymko V.G. Vibrational Technology of Concrete / B.V. Gusev, V.G. Zazymko. – Kyiv: Budivelnyk, 1991. – 230 p.
Ruchynskyi, M.M., Sviderskyi, A.G., D'yachenko, O.S. Review and Analysis of Existing Compaction Modes for Concrete Mixtures. MNTK 'Progressive Technics, Technology, and Engineering Education'. – Kyiv, 2019.
Nazarenko I.I., Ruchynskyi M.M. Physical Principles of Mechanics of Building Materials. – Lviv: Afisha, 2002. – 128 p..
Pat. 146691 Ukraine. IPC B28B 1/08 (2006.01). Vibro-table with lever-mounted vibrator / Korobko B.O., Korotych Yu.Yu., Vasilyev Ye.A.; owner National University 'Poltava Polytechnic named after Yuri Kondratyuk'. – No. u 2020 06563; filed 12.10.2020; published 10.03.2021, Bull. No. 10.
Dvorkin L.Y. Designing Concrete Mixtures with Specified Properties / Dvorkin L.Y., Dvorkin O.L., Harnitskyi Yu.V. – Rivne: Publishing House of RSTU, 2000. – 215 p.
Nesterenko M.P. Study of vibrations of plate of oscillation cassette setting as active working organ / M.P. Nesterenko, P.O. Molchanov // Conference reports materials «Problems of energ and nature use 2013» (Poltava National Technical Yuri Kondratyuk University, University of Tuzla, China Universitety of Petroleum). – Budapest, 2014. – Р. 146 – 151.
Advanced Construction Materials and Technologies for Implementation in Construction / [R. F. Runova, V. I. Bratchun, V. I. Hots, et al.] – Kyiv: UVPK ExOb, 2008. – 360 p.
Nesterenko M.P. Classification and Assessment of Consumer Qualities of Modern Vibrating Machines for Forming Reinforced Concrete Products / M.P. Nesterenko // Collection of Scientific Papers (Branch Mechanical Engineering, Construction). – Poltava: PoltNTU, 2007. – Issue 20. – Pp. 20 – 25.
Zagreba, V.P. Technology of Separate Vibro-impulse Formation of Stone Concrete Products: Monograph / V.P. Zagreba, I.N. Dudar, A.O. Kovalenko. — Vinnytsia: VNTU, 2012. — 92 p. ISBN 978-966-641-493-2.
Zhyhylii S.M. Mathematical model of the dynamic action of the controlled vibration exciter on the processed medium of mixer with toroidal working container / S.M. Zhyhylii, M.O. Kharchenko, J.O. Katella // International Journal of Engineering & Technology Vol. 7, No. 3.2, 2018. – Pp. 478 – 485
DOI: 10.14419/ijet.v7i3.2.14576
Morin D. Introduction to Classical Mechanics: With Problems and Solutions / David Morin. – Cambridge University Press; 1st edition, 2008. – 734 p. ISBN-10: 0521876222
Pavlovskyi M.A. Theoretical Mechanics: Textbook / M.A. Pavlovskyi. – Kyiv: Tekhnika, 2002. – 512 p.
Serdjuk L.I. Fundamentals of Theory, Calculation, and Design of Controlled Vibrating Machines with Unbalanced Vibration Exciters: Dissertation for the Degree of Doctor of Technical Sciences: Specializations 05.02.02 and 01.02.06. Kharkiv Polytechnic Institute – Kharkiv, 1991. – 301 p.
Seely F. Analytical mechanics for engineers / Fred B. Seely, Newton E. Ensign. – Chapman & Hall, Limited, New York, London; 3d ed., rewritten View all formats and editions, 1941. – 488 p.
Beer F. Vector mechanics for engineers: statics and dynamics, tenth edition / Ferdinand P. Beer, E. Russell Johnston, Jr., David F. Mazurek, Phillip J. Cornwell – New York: McGraw-Hill Companies, Inc., 2013. – 1360 p.
Zhyhiliy S.M. Point Kinematics: Lecture Course on Theoretical Mechanics for Students of Technical Specialties of All Forms of Education / S.M. Zhyhiliy. – Poltava: PoltNTU, 2017. – 194 p.
Ruina A. Introduction to Statics and Dynamics / Andy Ruina, Rudra Pratap. – Oxford University Press (Preprint), 2011. – 1029 p.