Abstract

This paper presented a new method for configuration synthesis of compound gear trains based on state-space approach [1]. This method first proposed a basic gear train unit (BGU) with two degrees of freedom, and a state equation is established to describe the transformation of kinematic, dynamic and structure information from input to output terminal. Then the dual vectors and a special state-space are defined by means of state equation. The operational rules of dual vectors in state-space were discussed and described using formulas, which revealed the relationship between the series-parallel connections of BGUs and transform path of dual vectors in state-space. The new method transformed the configuration synthesis of compound gear trains into the path planning of dual vectors under constraints in state-space. And it is more efficient to distinguish isomorphism and more convenient to achieve computer programming. Finally, an example of speed-increasing gearbox of semi-direct drive wind generator is given to show the process of configuration synthesis based on state-space approach.

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