Analytical Method for Determining the Static Equilibrium Position of the Rear Axles Guiding Mechanisms of the Motor Vehicles


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The work deals with an analytical algorithm for determining the static equilibrium position of the multi-link guiding mechanisms used for the rear axles of the motor vehicles. The method is based on the virtual mechanical work principle, considering the external forces applied to the wheels, as well the reaction forces in the elastic elements of the suspension. The equilibrium position of the guiding mechanism is established relative to the car body, considering the static model of the suspension system, in which the car body is fixed connected to ground (in other words, the car body is the reference part of the system). For determining the reaction forces in the elastic elements of the suspension (springs, bumpers and rebound elements, bushings, anti-roll bar), an original method for the positional analysis of the axle guiding mechanisms was developed and integrated in the mathematical algorithm for establishing the equilibrium position.



Edited by:

Prof.univ. Adrian Olaru






C. Alexandru "Analytical Method for Determining the Static Equilibrium Position of the Rear Axles Guiding Mechanisms of the Motor Vehicles", Applied Mechanics and Materials, Vol. 841, pp. 59-64, 2016

Online since:

June 2016




* - Corresponding Author

[1] C. Alexandru, The kinematic optimization of the multi-link suspension mechanisms used for the rear axle of the motor vehicles, Proceedings of the Romanian Academy - Series A 10(3) (2009) 244-253.

[2] J. Knapczyk, M. Maniowski, Selected effects of bushings characteristics on five-link suspension elastokinematics, Mobility and Vehicle Mechanics 3(2) (2002) 107-121.

[3] V. Ţoţu, C. Alexandru, Study concerning the effect of the bushings' deformability on the static behavior of the rear axle guiding linkages. Applied Mechanics and Materials 245 (2013) 132-137.

DOI: 10.4028/

[4] J. Ambrosio, P. Verissimo, Sensitivity of a vehicle ride to the suspension bushing characteristics, Journal of Mechanical Science and Technology 23(4) (2009) 1075-1082.

DOI: 10.1007/s12206-009-0344-1

[5] P. Verissimo, J. Ambrosio, Improved bushing models for vehicle dynamics, 3rd European Conference on Computational Mechanics (2006) 1-20.

DOI: 10.1007/1-4020-5370-3_779

[6] I. Stroe, Ş. Staicu, Calculus of joint forces using Lagrange equations and principle of virtual work, Proceedings of the Romanian Academy - Series A 11(3) (2010) 253-260.

[7] J. Knapczyk, M. Maniowski, Elastokinematic modeling and study of five-rod suspension with subframe, Mechanism and Machine Theory 41(9) (2006) 1031-1047.

DOI: 10.1016/j.mechmachtheory.2005.11.003

[8] D.F. Livermore, The determination of the equilibrium configurations of spring restrained mechanisms using 4x4 matrix method. Journal of Engineering for Industry (1987) 87-91.

[9] C. Alexandru, I. Barbu, The modeling of the elastic and damping elements from the suspension system of the cars axle, 8th Symposium on Mechanisms & Mechanical Transmission I (2010) 33-38.

[10] I. Barbu, Virtual prototyping tools applied in mechanical engineering, Mecatronica 3 (2004) 9-12.

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