Abstract
Performance, safety and comfort of a vehicle are related to its low frequency motions. The corresponding mechanical models are characterized for all kinds of vehicles by stiff parts represented as rigid bodies and soft components like springs, dampers and actuators. The method of multibody systems is most appropriate for the analysis of vehicle motions and vibrations up to 50 Hz. In this contribution the derivation of the equations of motions of multibody systems is shown step by step up to the computer-aided evaluation of these equations.
Starting with kinematics for rigid body vehicle systems, the foundations of dynamics together with the principles of d’Alembert and Jourdain are used to get the equations of motion. Then, some aspects of multibody dynamics formalisms and computer codes for vehicle dynamics are discussed. Further, models of randomly uneven guideways are presented. Performance criteria for ride comfort and safety are considered. Finally, the analysis of the suspension of a car model is presented in detail.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
VDI Richtlinie 2057. Beurteilung der Einwirkung mechanischer Schwingungen auf den Menschen. Düsseldorf, 1975–1979.
ISO International Standard 2631. Guide for the Human Exposure to Whole-Body Vibrations, 1974.
D.S. Bae and E.J. Haug. A recursive formulation for constrained mechanical system dynamics: Part i, open loop systems. Mechanics of Structures and Machines, 15: 359–382, 1987a.
D.S. Bae and E.J. Haug. A recursive formulation for constrained mechanical system dynamics: Part ii, closed loop systems. Mechanics of Structures and Machines, 15: 481–506, 1987b.
V. Bormann. Messungen von Fahrbahnunebenheiten paralleler Fahrspuren und Anwendung der Ergebnisse. Vehicle System Dynamics, 7, 1978.
H. Brandl, R. Johanni, and M. Otter. A very efficient algorithm for the simulation of robots and similar multibody systems without inversion of the mass matrix. In P. Kopacek, I. Troch, and K. Desoyer, editors, Theory of Robots, pages 95–100. Pergamon, Oxford, 1988.
H. Braun. Untersuchung von Fahrbahnunebenheiten und Anwendung der Ergebnisse. Dr.-Ing. Diss, Braunschweig, 1969.
S.H. Crandall and W.D. Mark. Random Vibration in Mechanical Systems. Academic Press, New York, London, 1963.
L. Czerny. Analyse stationärer Zufallsschwingungen. In Fort. Ber. VDI-Reihe 11 Nr. 99, Düsseldorf, 1987. VDI-Verlag.
C.J. Dodds and J.D. Robson. The description of road surface roughness. J. Sound Vibrations, 31:175–183, 1973.
W. Heinrich and K. Hennig. Zufallsschwingungen mechanischer Systeme. Vieweg, Braunschweig, 1978.
J.M. Hollerbach. A recursive lagrangian formulation of manipulator dynamics and comparative study of dynamics formulation complexity. IEEE Trans. Syst. Man. Cybern., 11:730–736, 1980.
T.R. Kane and D.A. Levinson. Dynamics: Theory and Applications. McGraw Hill, New York, 1985.
G. Kreisselmeier. A solution of the bilinear matrix equation AY + YB =-Q. SIAM J. Appl. Math., 23:334–338, 1972.
E. Kreuzer and G. Leister. Programmsystem NEWEUL’90. In Anleitung AN-24, Stuttgart, 1991. Institut für Technische und Numerische Mechanik.
K. Magnus and H.H. Müller. Grundlagen der Technischen Mechanik. Teubner, Wiesbaden, 1990.
M. Mitschke. Dynamik der Fahrzeuge. Springer, Berlin, 1972.
P.C. Müller and K. Popp. Kovarianzanalyse von linearen Zufallsschwingungen mit zeitlich verschobenen Erregerprozessen. Z. angew. Math. Mech., 59:T144–T146, 1979.
P.C. Müller and W. Schiehlen. Linear Vibrations. Martinus Nijhoff, Dordrecht, 1985.
P.C. Müller, K. Popp, and W.O. Schiehlen. Berechnungsverfahren für stochastische Fahrzeugschwingungen. Ing. Arch., 49:235–254, 1980.
D.E. Newland. Random Vibrations and Spectral Analysis. Longmann, New York, London, 1975.
G. Rill. Instationäre Fahrzeugschwingungen bei stochastischer Erregung. Dr.-Ing Diss, Stuttgart, 1983.
G. Rill. Auswahl eines geeigneten Integrationsverfahren für nichtlineare Bewegungsgleichungen bei Erregung durch beliebige Zeitfunktionen. In Forschungsbericht FB-4, Stuttgart, 1981. Institut für Technische und Numerische Mechanik.
S.K. Saha and W. Schiehlen. Recursive kinematics and dynamics for parallel structural closed-loop multibody systems. Mechanics of Structures and Machines, 29:143–175, 2001.
W. Schiehlen, editor. Multibody System Handbook. Springer, Berlin, 1990.
W. Schiehlen. Computational aspects in multibody system dynamics. Comp. Meth. Appl. Mech. Eng., 90:569–582, 1991.
W. Schiehlen and P. Eberhard. Technische Dynamik. Teubner, Wiesbaden, 2004.
L.F. Shampine and M.K. Gordon. Computer Solution of Ordinary Differential Equations. Freeman, San Francisco, 1984. Vieweg, Braunschweig, 1984.
R.A. Smith. Matrix equation XA + BX = C. SIAM J. Appl. Math., 16:198–201, 1968.
C. Voy. Die Simulation vertikaler Fahrzeugschwingungn. In Fort. Ber. VDI Reihe 12 Nr.30, Düsseldorf, 1978. VDI-Verlag.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 CISM, Udine
About this chapter
Cite this chapter
Schiehlen, W. (2009). Vehicle and Guideway Modelling: Suspensions Systems. In: Schiehlen, W. (eds) Dynamical Analysis of Vehicle Systems. CISM International Centre for Mechanical Sciences, vol 497. Springer, Vienna. https://doi.org/10.1007/978-3-211-76666-8_1
Download citation
DOI: https://doi.org/10.1007/978-3-211-76666-8_1
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-76665-1
Online ISBN: 978-3-211-76666-8
eBook Packages: EngineeringEngineering (R0)