Abstract
With the development of compressors toward high speed and multiple columns, the torsional vibration phenomenon has become a major factor affecting the service life and reliability of the shaft system. Therefore, this paper considers the influence of friction between piston and cylinder on the instantaneous inertia of the crank connecting rod mechanism, establishes a nonlinear torsional vibration mechanics model of shale gas compressor shaft system, solves the natural frequency of the shaft system under undamped and damped conditions using the eigenvector method, and investigates the influence of the friction coefficient between piston and cylinder and the operating speed on the torsional vibration response of the shaft system under the self-excitation of the shaft system and the action of and excitation moment by the Runge–Kutta methods. The results show that after considering the friction between the piston and the cylinder, the second-order natural frequency of the shaft system shows a "high-low–high" fluctuation pattern. As the friction coefficient increases, the amplitude of the shaft system and the peak vibration speed show a rising trend. Meanwhile, when the speed increases, the vibration of the shaft system changes from chaotic \ period to the proposed periodic state, but the amplitude shows a decreasing trend. The research in this paper aims to improve the theory of nonlinear dynamics of compressor shaft systems, and the determined nonlinear parameters can be used to guide the operation and maintenance of compressors in engineering.
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Data availability
The data that support the findings of this study are available from [Chengdu Compressor Branch, CNPC Jichai Power Company Limited], but restrictions apply to the availability of these data, which were used under license for the current study, and so are not publicly available. Data are, however, available from the authors upon reasonable request and with permission of [Chengdu Compressor Branch, CNPC Jichai Power Company Limited].
References
Xue, J.: Study on Torsional vibration of 6HS-MG labyrinth compressor crankshaft. Shenyang Ligong University. (2017).
Feng, J.M., Zhao, Y., Jia, X.H.: Solution for the torsional vibration of the compressor shaft system with flexible coupling based on a sensitivity study. P I Mech. Eng. E-J Pro. 233(4), 803–812 (2019). https://doi.org/10.1177/0954408918811014
Liu, J., Sun, X.D., Zhang, X.: Research on torsional vibration characteristics of reciprocating compressor shafting and dynamics modification. Mech. Adv. Mater. Struc. 27(09), 687–696 (2020). https://doi.org/10.1080/15376494.2018.14.92759
Karimaei, H., Mehrgou, M., Chamani, H.R.: Optimisation of torsional vibration system for a heavy-duty inline six-cylinder diesel engine. P I Mech. Eng. K-J Mul. 233(03), 642–656 (2019). https://doi.org/10.1177/1464419319826744
Zhang, Q.L., Duan, J.G., Zhang, S.H.: Nonlinear dynamic modeling for a diesel engine propeller shafting used in large marines. Chin. J. Mech. Eng-En. 27(5), 937–948 (2014). https://doi.org/10.3901/CJME.2014.0721.121
Li, Z., Gui, C.L., Sun, J.: Review of the researches on vibrations of crankshaft system in internal combustion engines. Trans. CSICE. 20(5), 469–474 (2002). https://doi.org/10.16236/j.cnki.nrjxb.2002.05.019
Zhao, J.: Research on nonlinear vibration characteristics of diesel engine transmission shaft. Harbin Engineering University. (2020).
Babagiray, M., Solmaz, H., Duygu, I.: Modeling and validation of crankshaft speed fluctuations of a single-cylinder four-stroke diesel engine. P I Mech. Eng. D-J Aut. 236(4), 553–568 (2021). https://doi.org/10.1177/09544070211026290
Karabulut, H.: Dynamic model of a two-cylinder four-stroke internal combustion engine and vibration treatment. Int. J. Engine Res. 13(06), 616–627 (2012). https://doi.org/10.1177/14680874
Zhang, X., Yu, S.D.: Torsional vibration of crankshaft in an engine-propeller nonlinear dynamical system. J. Sound Vib. 319(1), 491–514 (2009). https://doi.org/10.1016/j.jsv.2008.06.004
Zhao, J.S., Li, Z.W., Li, H.: A study on the three-coupled vibration of the crankshaft and the effects of nonlinear parameters. J. Vib Shock. 39(12), 198–205 (2020). https://doi.org/10.13465/j.cnki.jvs.2020.12.027
Yang, X.H.: Study on dynamics of bearing-rotor system considering bending torsion vibration and lubrication. Chongqing University. (2020).
Zhou, W. Research on simulation analysis of dynamic characteristics and bearing lubrication performance of high speed and heavy duty diesel engine crankshaft. Beijing Institute of Technology. (2016).
Pasricha, M.S., Carnegi, W.D.: Effects of variable inertia on the damped torsional vibrations of diesel engine systems. J. Sound. Vib. 46(3), 339–345 (1976). https://doi.org/10.1016/0022-460X(76)90858-0
Brusa, E., Delprete, C., Genta, G.: Torsional vibration of Crankshafts: effects of non-constant moments of inertia. J. Sound. Vib. 205(2), 135–150 (1997). https://doi.org/10.1006/jsvi.1997.0964
Pasricha, M.S., Hashim, F.M.: Effect of the reciprocating mass of slider-crank mechanism on torsional vibrations of diesel engine systems. ASEAN J. Sci. Technol. Develop. 23(1), 71–81 (2017). https://doi.org/10.29037/ajstd.94
Wang, S.R., Zhang, T.X.: The parametric excitation of the torsional vibrations of crankshafts of diesel engines with the effect of variable inertia taken into account. Trans. Csice. 6(04), 335–342 (1988). https://doi.org/10.16236/j.cnki.nrjxb.198804.008
Chen, G., Chen, Z.Y., Li, L.F.: Torsional vibration of the diesel crankshaft system with variable inertia. Trans. Csice. 9(02), 143–149 (1991). https://doi.org/10.16236/j.cnki.nrjxb.1991.02.008
Han, J.X., Zhang, Q.C., Wang, W.: Research on variable inertia characteristics of reciprocating crankshaft system taken connecting rod ratio into consideration. J. Mech. Strength. 40(02), 268–273 (2018). https://doi.org/10.16579/j.issn.1001.9669.2018.02.003
Metallidis, P., Natsiavas, S.: Linear and nonlinear dynamics of reciprocating engines. NT J Nonlin Mech. 38(5), 723–738 (2003). https://doi.org/10.1016/S0020-7462(01)00129-9
Xiang, J.H., Liao, R.D.: Study on variable inertia torsional vibration of crankshaft based on instantaneous kinetic energy equivalence. Trans. Beijing Inst. Technol. 27(10), 864–868 (2007). https://doi.org/10.2514/1.26230
Zhu, X.Z., Yuan, H.Q.: Numerical study on nonlinear dynamic characteristic of crankshaft system of diesel engine. Chin. Int. Combust Engine Eng. 30(03), 65–69 (2009). https://doi.org/10.13949/j.cnki.nrjgc.2009.03.016
Guzzomi, A.L., Hesterman, D.C., Stone, B.J.: The effect of piston friction on engine block dynamics. Proc. IMechE, Part K: J. 2007, 221(K2), 227–289 (2007). Doi: https://doi.org/10.1243/14644193JMBD66.
Guzzomi, A.L., Hesterman, D.C., Stone, B.J.: The effect of piston friction on the torsional natural frequency of a reciprocating engine. Mech. Syst. Signal PR. 21(7), 2833–2837 (2007). https://doi.org/10.1016/j.ymssp.2007.02.002
Che, D.X.: The Torsional Vibration Calculation and the Experimental Study for an Engine Crankshaft. South China University of Technology (2012).
Huang, Y., Yang, S.P., Zhang, F.J.: Non-linear torsional vibration characteristics of an internal combustion engine crankshaft assembly. Chin. J. Mech. Eng-EN. 25(04), 797–808 (2012). https://doi.org/10.3901/CJME.2012.04.797
Wang, C.M., Song, D.J.: Calculation of torsional stiffness of engine crankthrow by finite element method. Trans. Csice. 9(02), 177–183 (1991)
Han, S.: A study of the effects of variable inertia on the torsional vibrations of ice. J Armor Force Eng Inst. 8(03), 16–21 (1994)
Zhou, X. Research on nonlinear torsional vibration of transmission system for special vehicles. Shanghai Jiao Tong University. (2017)
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This work was partly funded by the National Science and Technology Major Project under Grant No. 2016ZX05040-006.
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Li, T., Chen, Z., Zhang, K. et al. Analysis of the influence of piston–cylinder friction on the torsional vibration characteristics of compressor crankshaft system. Nonlinear Dyn 110, 1323–1338 (2022). https://doi.org/10.1007/s11071-022-07689-9
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DOI: https://doi.org/10.1007/s11071-022-07689-9