Interval algorithms in modeling of multibody systems. (English) Zbl 1126.65311

Alt, René (ed.) et al., Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19–24, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21260-4/pbk). Lecture Notes in Computer Science 2991, 132-159 (2004).
Summary: We will show how a variety of interval algorithms have found their use in the multibody modeling program MOBILE. This paper acquaints the reader with the key features of this open source software, describes how interval arithmetic help to implement new transmission elements, and reports on interval modeling of dynamics, which is an inherent part of multibody simulations. In the latter case, the interval extension of MOBILE enhanced with an interval initial value problem solver (based on VNODE) is presented. The functionality of this application is shown with some examples. We provide insights into techniques used to enhance already existing modeling software with interval arithmetic concepts.
For the entire collection see [Zbl 1046.65001].


65G30 Interval and finite arithmetic
65G20 Algorithms with automatic result verification
70E55 Dynamics of multibody systems
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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