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**Recursive dynamic algorithm of open-chain multibody system.**
*(English)*
Zbl 1407.70010

Summary: Open-chain multibody systems have been extensively studied because of their widespread application. Based on the structural characteristics of such a system, the relationship between its hinged bodies was transformed into recursive constraint relationships among the position, velocity, and acceleration of the bodies. The recursive relationships were used along with the Huston-Kane method to select the appropriate generalized coordinates and determine the partial velocity of each body and to develop an algorithm of the entire system. The algorithm was experimentally validated; it has concise steps and low susceptibility to error. Further, the algorithm can readily solve and analyze open-chain multibody systems.

### MSC:

70E55 | Dynamics of multibody systems |

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\textit{M. Lu} et al., Math. Probl. Eng. 2014, Article ID 457682, 6 p. (2014; Zbl 1407.70010)

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