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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 3/2021

30-09-2020 | Original

Stability analysis for nonlinear valve train systems in automotive engines

Author: Martin Busch

Published in: Archive of Applied Mechanics | Issue 3/2021

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Abstract

In the present paper, the structural stability of a valve train system is investigated. Valve trains are applied in automotive combustion engines to accomplish the alternation of load. Regarding the efficiency of the engine, a stable system is favorable since it produces less oscillations and less friction. Further, the stability behavior is important from simulative perspective since model instabilities are challenging for the numerical solvers. The system behavior is described with a simplified pendulum replacement model. The stable and unstable equilibria are calculated by means of the effective potential energy. The analysis reveals a subcritical pitchfork bifurcation which changes the stability and friction behavior depending on the cam-shaft velocity. The analytically calculated results are validated with comprehensive numerical simulations.
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Footnotes
1
The cam always rotates about the inertial y-axis with a negative angular velocity of \(-\Omega \).
 
2
Please note that the resulting torques are zero in the equilibrium positions and especially in the bifurcation point.
 
Literature
1.
Blekhman, I.: Method of direct motion separation in problems of vibration acting on nonlinear mechanical systems. Mech. Solids 11, 7–19 (1976)MathSciNet
2.
Blekhman, I.: Oscillatory strobodynamics—a new area in nonlinear oscillations theory, nonlinear dynamics and cybernatical physics. Cybern. Phys. 1, 5–10 (2012)
3.
Braess, H.H., Seiffert, U.: Vieweg Handbuch Kraftfahrzeugtechnik. Friedrich Vieweg & Sohn, Braunschweig (2001)CrossRef
4.
Butikov, E.I.: On the dynamic stabilization of an inverted pendulum. Am. J. Phys. 69(6), 755–768 (2001)CrossRef
5.
Eich-Soellner, E., Führer, C.: Numerical Methods in Multibody Dynamics. Teubner, Stuttgart (1988)MATH
6.
Fidlin, A.: On the separation of motions in systems with a large fast excitation of general form. Eur. J. Mech. A/Solids 18, 527–539 (1999)MathSciNetCrossRef
7.
Herweg, S.: Entwicklung und Validierung einer Methodik für erweiterte Ventiltriebssimulationen. Technische Universität Kaiserslautern, Kaiserslautern, Ph.d. diss. (2019)
8.
Holyst, J.A., Wojciechowski, W.: The effect of Kapitza pendulum and price equilibrium. Phys. A 324(1–2), 388–395 (2003)MathSciNetCrossRef
9.
Kapitza, P.: Dynamic stability of a pendulum when its point of suspension vibrates. Sov. Phys. JETP 21(5), 588–597 (1951)
10.
Kapitza, P.: Dynamic stability of a pendulum when its point of suspension vibrates. In: Haar, D. (ed.) Collected Papers of P. L. Kapitza, vol. 2, pp. 714–726. Pergamon, London (1976)
11.
Khalil, H.K.: Nonlinear Systems. Prentice Hall, Upper Saddle River (1996)
12.
Khan, N.A., Khan, N.A., Riaz, F.: Dynamic analysis of rotating pendulum by Hamiltonian approach. Chin. J. Math. 2013, 1–4 (2013)MATH
13.
Krecker, O., Huber, B.: Modellierungsansatz zur Abbildung gesamtmotorischer Reibungsverluste. In: Liebl, J. (ed.) Reibung in Antrieb und Fahrzeug 2018, pp. 21–46. Springer Fachmedien Wiesbaden, Wiesbaden (2019)CrossRef
14.
Kremer, E.: Slow motions in systems with fast modulated excitation. J. Sound Vib. 383, 295–308 (2016)CrossRef
15.
Landau, L., Lifshitz, E.: Mechanics: Course of Theoretical Physics, vol. 1. Elsevier Butterworth-Heinemann, Amsterdam (1976)
16.
17.
Parker, T.S., Chua, L.O.: Practical Numerical Algorithms for Chaotic Systems. Springer, New York (1989)CrossRef
18.
Pischinger, F.: Verbrennungsmotoren Band I. RWTH Aachen, Aachen (1987)
19.
Poll, G.: Der Einfluss der realen Systemeigenschaften auf die Kraftschlussgesetze bei wälzender Relativbewegung. Ph.d. diss, RWTH Aachen, Aachen (1983)
20.
Sass, D.: Verborgene Potentiale zwischen Kurbelwelle und Ventilen. In: Schaeffler Kolloquium. Schaeffler Technologies AG & Co. KG, Baden-Baden (2014)
21.
Schlichting, J., Rodewald, B.: Zum kritischen Verhalten eines invertierten Pendels. Phys. Didakt. 14/1(38), 1–9 (1987)
22.
Stephenson, A.: On induced stability. Philos. Mag. Ser. 6 15(86), 233–236 (1908)CrossRef
23.
Thomsen, J.: Slow high-frequency effects in mechanics: problems, solutions, potentials. Int. J. Bifurc. Chaos 15, 2799–2818 (2005)MathSciNetCrossRef
24.
Treschev, D.: Some aspects of finite-dimensional Hamiltonian dynamics. In: Craig, W. (ed.) Hamiltonian Dynamical Systems and Applications, pp. 1–19. Springer, Berlin (2008)MATH
Metadata
Title
Stability analysis for nonlinear valve train systems in automotive engines
Author
Martin Busch
Publication date
30-09-2020
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 3/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-020-01791-3

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