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Abstract

This paper discusses the importance of the classical Newtonian mechanics on a new computer-oriented formulation called Sparse Tableaux Formulation (STF), which is the heart of Automatic Dynamic Analysis of Mechanical Systems. At the same time, it shows that such formulation can integrate different methods of numerical integration without disturbing its integrity. The STF is a modularized formulation as well as being open-ended. This will allow its development in time according to scientific and industrial demand. The paper shows that the physical systems can be mapped into mathematical representations that can be assembled in harmony with the system's structure, and the results of the computer simulations can be mapped back directly into the physical system.

Keywords

Automatic Dynamic Analysis of Mechanical Systems backwards difference formula Hilber—Huges—Taylor stabilized index 1 stabilized index 2 index 2 sparse Tableaux formulation sparse matrix numerical integration computer simulation

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From Newtonian dynamics to sparse Tableaux formulation and multi-body dynamics

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