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14                              2 PRINCIPLES OF MODELLING AND SIMULATION


               displayed in a debugger that shows the current status of the software, i.e. program
               line and variable values, plus their outputs on the terminal. Without this type of
               simulation, software development would be unthinkable.
                 Like electronics, the construction of mechanical systems in reality is very expen-
               sive in terms of time and costs. In many of the industries in question the answer
               to this problem lies in the increased use of simulation. The automotive industry
               is particularly advanced in this field. The two main key words here are digital
               mock-up and virtual prototype, see for example Paulini et al. [317] or Schweer
               et al. [376]. A digital mock-up is as complete as possible a description of a single
               product on the computer and thus represents a limited data quantity. All the various
               tools check the design on the basis of this data. The digital mock-up thus primarily
               represents a medium for information exchange, which links together data sources
               and data sinks in the design process. At regular intervals, for example every two
               weeks [376], new data are put in and thus are available to all possible users. A vir-
               tual prototype is extracted from the data of the digital mock-up, which can then be
               used for experiments on the computer. A classic example of this is the simulation
               of crash tests. In this application, a finite-element model is obtained from the CAD
               data of the body by automatic meshing, which can then be subjected to any desired
               crash situations. Although the simulation requires several hours of processing time
               even on the fastest computer, it means that the majority of real crash tests can be
               dispensed with. Furthermore, simulations are also run in virtually all other sectors
               of the automotive industry, such as for example in the development of running
               gear, engine, drive train and the associated electronics.



               2.4     Model Development

               2.4.1 Introduction

               The following section provides an overview of the most up-to-date methods for
               model development in electronics and mechanics, looking at both the common
               ground and differences. We can make an initial classification by asking whether
               the model describes the structure or the behaviour of a system.
                 Taking the first case, in classic modelling the model establishes only which com-
               ponents make up the system and how these are connected together. Alternatively,
               however, the term structural modelling can also be expanded and, for example, take
               in the description of the structure of an equation system or a finite state machine.
               In such cases the following forms of model description may be called structural:
               electronic circuit diagrams, state graphs, multibody diagrams, meshes of finite ele-
               ments, block diagrams, bond graphs and Petri nets. The common factor of all these
               descriptive forms is that they are all graphical in nature.
                 If, on the other hand, it is the behaviour of a system that is to be described
               then this can be achieved on the basis of the underlying physics or the measured
               input/output behaviour. In the former case the development of such models is
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