The Impact of Non-constant Inertia and Nonlinear Damping on the Torsional Vibration Characteristics of Internal Combustion Engine Including External Forces

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Hameed D. Lafta


Failures of the crankshaft-slider mechanism are the most reasons that affect the durability and operational reliability of the internal combustion engine. An accurate and sophisticated nonlinear dynamic model overcomes the obvious simulation errors of linearized models. The present work studies the effect of the non-conservative forces and nonlinear damping on the torsional vibration of single-cylinder internal combustion engines. Comprehensive dynamic modeling based on a developed expression for the instantaneous kinetic energy of the reciprocating parts and a general model of the overall kinetic energy of the system in terms of the inertia parameters were derived. The effect of variable inertia and nonlinear damping on the damped forced response of slider-crank assembly of the engine was investigated using the numerical integration method. The numerical results show that the phenomenon of secondary rolling excitation torque is well activated and gives arises to variation of frequencies and their corresponding amplitudes. Also, the amplitude of the external excitation torque is strengthened by the secondary excitation inertia torque and introduces multi resonance amplitudes phenomenon and widening the critical range of engine speed which results in producing of dangerous vibrational stress amplitudes. Also, the damped forced results indicate that the presents of damping lead to a vital reduction in the amplitude of torsional displacement and excitation torques. The present work aims to enhance nonlinear dynamic modeling and introduces more reliable design for reciprocating engine crankshaft assembly.


ICE, Nonlinear torsional vibration, gas forces


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[1] W. Homik, A. Mazurkow, and P. Woś, “Application of a Thermo-Hydrodynamic Model of a Viscous.” Multidisciplinary Digital Publishing Institute (MDPI). [Online]. Available: [Accessed: ‎Feb. ‎14, 2022].
[2] Y. Huang, S. Yang, F. Zhang, C. Zhao, Q. Ling, and H. Wang, “Non-linear torsional vibration characteristics of an internal combustion engine crankshaft assembly.” Chinese Journal of Mechanical Engineering, vol. 25, no. 4, pp. 797-808, 2012.
[3] A. L. Guzzomi, D. C. Hesterman, and B. J. Stone, “Variable inertia effects of an engine including piston friction and a crank or gudgeon pin offset.” Journal of Automobile Engineering, vol. 222, no. 3, pp. 397-414, 2008.
[4] H D Lafta, and A H Shather, “Nonlinear Torsional Vibration Analysis Of Variable Inertia Reciprocating Engines,” Journal of Multidisciplinary Engineering Science and Technology (JMEST), 3159-0040 Vol. 3 Issue 1, pp. 3836-3843January, 2016.
[5] Y. WANG and T. LIM, “Effects of Viscous Friction and Non- Friction Damping Mechanism in a Reciprocating engine.” Journal of Sound and Vibration, vol. 257, no. 1, pp. 177-188, 2002.
[6] Hector B, Carlos E, Ugalde-Loo, and Muditha A, “Dynamic Modelling and Control of a Reciprocating Engine,” 9 the International Conference on Applied Energy, pp. 1282–1287, 2017.
[7] Enrico A, Francesco C, Luca E, Venanzio G and Roberto C, “Multibody Simulation for the Vibration Analysis of a Turbocharged Diesel Engine,” Appl. Sci. 8, 1192. 2018. [Online]. Available: [Accessed: ‎Nov. ‎29, ‎2021].
[8] N. K. JOSHI and V. K. PRAVIN, “Analysis of the Impact of Variable and Non-variable Inertia on Torsional Vibration Characteristics of marine Propulsion Plant Driven by Diesel Engine,” International Journal of Mechanical and Production Engineering Research and Development, Vol. 4, Issue 1, pp.113-124, Feb 2014.
[9] Jabbar F, Hassan G, Karim A, akilabadi, Hadi K, “ the Effect of Damping Coefficient on the Torsional Vibration of the Damped Multi-branch Gears System,” Journal of Applied Mathematics and Computational Mechanics, 16 (4), pp.5-16, 2017.
[10] Pasricha M P, “Effect of Damping on Parametrically Excited Torsional Vibrations of Reciprocating Engines Including Gas Forces,” Journal of Ship Research, Vol. 50, No. 2, June, pp. 147-157, 2006.
[11] Nenad Vulić, Đorđe Dobrota, and Ivan Komar, “Damping and Excitation in the Torsional Vibrations Calculation of Ship Propulsion Systems,” International Scientific and Professional Conference Contemporary issues in economy and technology (CIET), pp. S-165-S-174, 2018.
[12] Tao Li, Huang Z, Zhen C, Kehai Z, Jie W, “Analysis of the Influence of Piston-Cylinder Friction on the Torsional Vibration Characteristics of Compressor Crankshaft System, ” Pre Print on Research Square, March 2022. [Online]. Available: (accessed: Aug. 27, 2022).
[13] S.S. Rao, Mechanical Vibrations, 5th edition, Pearson Education, Inc. 2011.
[14] LONG C, WENKU S , and ZHIYONG C, “Research on Damping Performance of Dual Mass Flywheel Based on Vehicle Transmission System Modeling and Multi-Condition Simulation,” IEEE Access. [Accessed: July ‎13, ‎2022].
[15] Hasmet S, Mustafa T, “Optimization of Torsional Vibration Damper of Cranktrain System Using a Hybrid Damping Approach,” Engineering Science and Technology, an International Journal, 24, pp. 959–973, (2021).