Dynamic Behavior of Shafts, Couplings and Working Body of the Machine under Torsional Impact Moment

Document Type : Research Paper

Authors

1 Department of Machine Design and Industrial Technologies, Azerbaijan Technical University, H. Javid ave. 25, AZ1073, Baku, Azerbaijan

2 Department of Mathematics, Istanbul Ticaret University, Beyoglu, 34445 Istanbul, Turkey

3 Scientific Research Department of Azerbaijan University of Architecture and Construction, Baku 1073, Azerbaijan

4 Scientific Research Centers for Composition Materials of UNEC Azerbaijan State Economic University, Baku 1001, Azerbaijan

Abstract

In this study, the influence of the torsional rigidity of the connected shafts, couplings and the working body of the machine, as well as the damping capacity of the coupling, on the torsional impact moment generated in the machine transmission is investigated. Unlike existing classical calculation models, the torsional stiffness of the connected shafts, the torsional damping ability of the coupling and the effects of the moment ratio are taken into consideration together. Under these conditions an analytical expression for the shock moment or resonance coefficient is obtained. The main novelties in obtaining of this expression are the ratio of the torsional stiffness of the connected shafts with the torsional stiffness of the coupling and the acceptance of the moment of resistance of the working body of the machine depending on the torsional stiffness. It has been found that the considered factors have a significant effect on the resonance zone. Finally, different and overlapping conditions are determined when determining the value of the resonance coefficient characterizing the torque impact moment, calculated according to the classical and proposed models.

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Peeken, H., Troeder, Ch., Elastische Kupplungen, Ausführungen, Eigenschaften, Berechnungen, Springer-Verlag, 1986.
[2] Khalilov, I.A., Studies of the dynamic properties of geometrically closed mechanical clutches, Mechanical Engineering, 2, 2009, 25-31.
[3] Khalilov, I.A., Influence of the gap in clutches on the dynamic properties of drives, Russian Engineering Research, 30, 2010, 206-212.
[4] Khalilov, I.A., Temperature variation of elastic elements in clutches on damping, Russian Engineering Research, 32, 2012, 322-325.
[5] Khalilov, I.A., The importance of considering the temperature factors while choosing the elastic couplings, IFAC International Federation of Automatic Control, 18th IFAC Conference on International Stability, Technology and Culture 13-15 September 2018, Baku, Azerbaijan, 816-820, 2018.
[6] Jin, G., Ren, W., Zhu, R., Influence of torsional stiffness on load sharing coefficient of a power split drive system, MATEC Web of Conferences, 211, 2008, 17002.
[7] Liu, Q., Tang, C., Liu, X., Dynamic analysis and experimental study of confluence planetary row under transient torque shock, 9th International Symposium on Test Automat, & Instrument (ISTAI 2022), Online Conference, Beijing, China, 213-219, 2022.
[8] Zha, L., Lin, Y., Li, Z., Huang, C., Optimal starting control of zerosynchronous shock AMT based on torque compensation, Science Progress, 103(4), 2020, 36850420968675.
[9] Chen, Y., Zhu, R., Jin, G., Xiong, Y., Influence of shaft torsional stiffness on dynamic response of four-stage main transmission system, Mathematical Problems in Engineering, 2018, 2018, 6141035.
[10] Costas, A.M., Athanasios, N.S., Dynamic and vibration analysis of a multimotor dc drive system with elastic shafts driving a tissue paper machine, IEEE Transactions on Industrial Electronics, 54(4), 2007, 2033-2046.
[11] Krot P., Transient torsional vibrations control in the geared drive trains of the hot rolling mills, IEEE Conference on Control Technology and Applications (CCTA), St. Petersburg, Russia, 1368-1373, 2009.
[12] Meeus, H., Verrelst, B., Moens, D., Guillaume, P., Lefeber, D., Experimental study of the shaft penetration factor on the torsional dynamic response of a drive train, Machines, 6, 2018, 31.
[13] Morimura, H., A Study of vehicle acceleration shock: analysis of driveability model and transient excitation torque rise, Transactions of the Japan Society of Mechanical Engineers, 69, 2003, 3228-3235.
[14] Kim, H.S., torque transmission characteristics of the press fit joint between the aluminum shaft and steel ring with small teeth, Mechanics Based Design of Structures and Machines, 39 (1), 2011, 100-117.
[15] Sondkar, P., Kahraman, A., A dynamic model of a double-helical planetary gear set, Mechanizm and Machine Theory, 70, 2013, 157–174.
[16] Guan, X.L., Tang, J.Y., Hu, Z.H., Wang, Q.S., Kong, X.N., A new dynamic model of light-weight spur gear transmission system considering the elasticity of the shaft and gear body, Mechanism and Machine Theory, 170, 2021, 104689.
[17] Rao, D.K., Swain, A., Roy, T., Dynamic responses of bidirectional functionally graded rotor shaft, Mechanics Based Design of Structures and Machines, 50(1), 2022, 302-330.
[18] Lin, F., Peng, J.S., Xu, S.F., Yang, J., An indirect method to determine nonlinearly elastic shear stress-strain constitutive relationships for nonlinear torsional vibration of nonlinearly elastic shafts, Multidiscipline Modeling in Materials and Structures, 18(4), 2022, 582-605.
[19] Yang, X., Lei, Y.G., Liu, H., Yang, B., Li, X., Li, N., Rigid-flexible coupled modeling of compound multistage gear system considering flexibility of shaft and gear elastic deformation, Mechanical Systems and Signal Processing, 200, 2023, 11063.
[20] Bavi, R., Mohammad-Sedighi, H., Hajnayeb, A., Shishesaz, M., Parametric resonance and bifurcation analysis of thin-walled asymmetric gyroscopic composite shafts: An asymptotic study, Thin-Walled Structures, 184, 2023, 110508.
[21] Bavi, R., Hajnayeb, A., Sedighi, H.M., Shishesaz, M., Simultaneous resonance and stability analysis of unbalanced asymmetric thin-walled composite shafts, International Journal of Mechanical Sciences, 217, 2022, 107047.
[22] Sofiyev, A.H., Schnack, E., The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading, Engineering Structures, 26, 2004, 1321-1331.
[23] Sofiyev, A.H., Kadioglu, F., Khalilov, I.A., Sedighi, H.M., Vergul, T., Yenialp, R., On the torsıonal bucklıng moment of cylındrıcal shells consıstıng of functıonally graded materials resting on the Pasternak-type soıl, SOCAR Proceedings, 1, 2022, 16-22.
[24] Ramezannejad Azarboni, H., Heidari, H., Nonlinear primary frequency response analysis of self-‎ sustaining nanobeam considering surface elasticity, Journal of Applied and Computational Mechanics, 8(4), 2022, 1196-207.
[25] Zhang, J.G., Song, Q.R., Zhang, J.Q., Wang, F., Application of he’s frequency formula to nonlinear oscillators with generalized initial conditions, Facta Universitatis, Series: Mechanical Engineering, 21(4), 2023, 701-12.
[26] Avey, M., Sofiyev, A.H., Fantuzzi, N., Kuruoglu, N., Primary resonance of double-curved nanocomposite systems using improved nonlinear theory and multi-scales method: modeling and analytical solution, International Journal of Nonlinear Mechanics, 137, 2021, 103816.
[27] Sofiyev, A.H., Avey, M., Kuruoglu, N., An approach to the solution of nonlinear forced vibration problem of structural systems reinforced with advanced materials in the presence of viscous damping, Mechanical Systems and Signal Processing, 161, 2021, 107991.
[28] Ipek, C., Vibration analysis of shear deformable cylindrical shells made‎ of heterogeneous anisotropic material with clamped edges, Journal of Applied and Computational Mechanics, 9(3), 2023, 861-869.