
Scientific paper ID 1953 : 2020/3
VIBRATIONS OF ELLIPTICAL DISC FROM INERTIAL EXCITATIONS
Anastas Ivanov Ivanov The article examines the threedimensional vibrations of an elliptical disk. It is rigidly connected to a horizontal cylindrical shaft. The normal axis to the plane of the disk makes an acute angle with the axis of the shaft. The shaft is considered to be a cylindrical perfectly elastic and weightless rod with a stiffness of bending and twisting. The supporting joints have linear elastic characteristics set by appropriate coefficients. The threedimensional vibrations of the disk are caused by an inertial excitation that are developed in its plane. The study s determination of the matrices of mass and inertial properties, the stiffness matrix, as well as determination of the generalized force. A specific program in the area of MatLabSimulink has been created for the study of small threedimensional vibrations. The laws of motion, velocities, and accelerations for all generalized coordinates are obtained. Numerically calculations by varying the angle between the plane of the disk and the shaft are performed. Relevant conclusions are created regarding to this influence.
принудени пространствени трептения елиптичен диск инерционни смущение изолиране числено решение MatLabforced threedimensional vibrations elliptical disc inertial excitations isolation numerical solution MatLabAnastas Ivanov Ivanov BIBLIOGRAPHY [1] Alexandrov V.A., PetrovaHristova L.B., Structural Mechanics of Machine Constructions. T. Kableshkov Univ. of Transport, ISBN 9541201091, Sofia, 2004, p.365. (in Bulgarian) [2] Spicina D.N., Structural Mechanics of Machine Constructions. Moscow, Visshaya shkola, 1977, p.248. (in Russian) [3] Ivanov A.I., Structural Dynamics. Sofia, 2010, Avangard Prima, ISBN 9789543236848, p.324. (in Bulgarian) [4] Kolarov I.G., Kocev N.V., Stoychev S.D., Metal Constructions of Liftingtransport and Building Machines. Course Design Guide. Sofia, Tehnika, 1988, p.198 (in Bulgarian) [5] Sergeev S.V., Sergeev Yu.S., Kononistov A.V., Selfsynchronized controlled vibration drive with automated oscillation parameters monitoring system for hightech equipment. ICIE 2018, Proceedings of the 4th International Conference of Industrial Engineering, pp.367374. [6] Perig A. V., Stadnik A. N., Kostikov A. A., Podlesny S. V., Research into 2D Dynamics and Control of Small Oscillations of a CrossBeam during Transportation by Two Overhead Cranes. Shock and Vibration, vol. 2017, No 9605657, Feb. 2017, pp.1–21. [7] Ivanov A.I., Threedimensional Vibrations of Rigid Body. Sofia, 2017, Avangard Prima, ISBN 9786191607457, p.192. (in Bulgarian) [8] Ivanov A.I., Motion of Ellipsoid in Fluid Area. Annual of the University of Architecture, Civil Engineering and Geodesy, vol. 51, issue 2, Sofia, 2017, pp. 117135. (in Bulgarian) [9] Ivanov A.I., Modeling of dynamical tasks with MatLab. Sofia, 2011, Avangard Prima, ISBN 9789543238378, p.100. (in Bulgarian) [10] Mikhaylov E.V., Semenov S.A., Analysis of technical solutions the wheel pairs directed decrease in resistance to movement of rail vehicle. Bulletin of the Volodymyr Dahl East Ukrainian National University, No 4 (234), 2017, pp.254261. (in Russian) [11] Chuprakov E.V., Melnichenko O.V., Evaluation of the strength of the axle wheelset of differential execution. Bulletin of mechanics and machine building Bulletin IrGGU No 10 (81), 2013, pp.6370. (in Russian) 