VO 309.029 Introduction to Multi-body-system Dynamics


The application of the methods of multi-body system dynamics allows the mapping of a real mechatronic system (e.g. a vehicle or robot) as an analytical, mathematical-physical model and, as a result, a lasting understanding of dynamic properties and phenomena of the real system. Only by looking into a "black box" does one find information about the complex relationships between cause and effect. Investigations on the virtual prototype make it possible, for example, to identify the influence of design parameters on its dynamic behavior in very early product development stages, without having to resort to the time-consuming and costly construction of real prototypes. can Properties of elastic structures can also be taken into account in modeling using finite element methods (FEM). interfaces to mathematics Program packages allow existing, real system components to be integrated into the virtual prototype (hardware/software-in-the-loop) or to develop control concepts.

Modeling, i.e. a more or less simplified reproduction of reality, is necessary for the engineering solution of problems. Increasingly, today there is a demand for the most realistic possible calculation of the system behavior in order to be able to use analyzes or forecasts with increasing levels of detail for product developments. The concept of the multi-body system (MBS) - in the English Multi-Body-System (MBS) - refers to a system consisting of several solid bodies, which are connected to each other by coupling elements and are therefore limited in their ability to move. Delimited bodies (generally rigid or elastically deformable) are connected to one another kinematically or dynamically (e.g. with a spring and its force law) by discrete (massless) bonds.

The simulation and calculation of the dynamic behavior of an MBS requires the creation of a large number of equations of motion and the mathematical formulation of the geometric and kinematic constraints. The creation of the necessary equations "by hand" for the generally spatial movements becomes more difficult, error-prone and ultimately practically impracticable with the increasing number of bodies considered. For this reason, methods and the resulting program systems have been developed that offer extensive support and automatically create and also evaluate the equations of motion.

The aim of the VO Fundamentals of Multibody System Dynamics is to show the methodology for creating the descriptive equations for an MBS. It is particularly important when using MKS program systems to know about their possibilities and limitations. This is the only way that the simulation results can be meaningfully interpreted and evaluated. In the accompanying UE Basics of Multibody System Dynamics, such a program system is presented and the opportunity is offered to try out the application on the PC using relatively simple examples.

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TU Wien

Institute of Mechanics and Mechatronics

Research Unit of Technical Dynamics and Vehicle System Dynamics

Getreidemarkt 9 / E325-02 / 5th floor

1060 Vienna

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