This paper shows how some exact computational methods based on interval analysis have been used for the kinematic analysis of mechanisms involved in suspension of vehicles. It points out that, among the tools recently developed to solve exactly sets of equations, some are powerful and efficient enough to analyse and solve the kinematics of such mechanisms. This paper presents numerical results which are much more accurate and complete than the one obtained through numerical iterative computations. Those results are illustrated on two representative suspension mechanisms, using two opposite approaches to solve them exactly. The symbolic approach has the advantages to provide the kinematics solution directly as symbolic functions of the design parameters and is hence appropriate for design purposes but has very high costs and is not practicable for the kinematics of complex mechanisms. The interval-based approach allows to solve the kinematics of all the suspension mechanisms but only for fixed values of their design parameters. It must be noted that both methods are exact in the sense that the computed trajectories are guaranteed. This is a large improvement as undetected jumps between branches may occur when using the usual method based on iterative use of Newton scheme.
Exact kinematics analysis of car's suspension mechanisms using symbolic computation and interval analysis
Exakte kinematische Analyse einer Radaufhängung mittels symbolischer Berechnung und Intervallanalyse
Mechanism and Machine Theory ; 40 , 4 ; 395-413
2005
19 Seiten, 11 Bilder, 19 Quellen
Aufsatz (Zeitschrift)
Englisch
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