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Dynamic model of multi-rigid-body systems based on particle dynamics with recursive approach

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  • Hazem Ali Attia

Abstract

A dynamic model for multi-rigid-body systems which consists of interconnected rigid bodies based on particle dynamics and a recursive approach is presented. The method uses the concepts of linear and angular momentums to generate the rigid body equations of motion in terms of the Cartesian coordinates of a dynamically equivalent constrained system of particles, without introducing any rotational coordinates and the corresponding rotational transformation matrix. For the open-chain system, the equations of motion are generated recursively along the serial chains. A closed-chain system is transformed to open-chain by cutting suitable kinematical joints and introducing cut-joint constraints. An example is chosen to demonstrate the generality and simplicity of the developed formulation.

Suggested Citation

  • Hazem Ali Attia, 2005. "Dynamic model of multi-rigid-body systems based on particle dynamics with recursive approach," Journal of Applied Mathematics, Hindawi, vol. 2005, pages 1-18, January.
    • Handle: RePEc:hin:jnljam:914595
    DOI: 10.1155/JAM.2005.365
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