07/11/2015
Vehicle dynamics #6
On principle, there are two procedures known for modeling...
• the empirical approach, and
• the axiomatic approach.
The empirical approach is based on measurements with prototypes of components or vehicles, respectively, which are processed by identification methods resulting in a mathematical model.(FOR DETAIL REFER BOOKS).
The axiomatic approach results directly in a mathematical model by application of fundamental, already mathematically described physical principles. This model emphasizes the structure of the system as well as relations between the system parameters.(FOR DETAIL REFER BOOKS).
The mathematical description of complex dynamical systems requires in general a combination of both approaches. Whenever possible, the less expensive axiomatic approach will be applied. The missing parameter values have to be found by experiments, and the final results should be validated empirically. The modeling is considered to be satisfactory if theoretical
predictions coincide with the experimental findings.
In the following the axiomatic approach to modeling will be presented in detail for all the vehicle systems under consideration. To cover as many different designs as possible, firstly the components are treated separately by realistic models. Then, the components are assembled systematically resulting in the mathematical model of the global system easy to assess and efficient to be analyzed computationally.
-AJ