Research on fast and accurate modeling of straight profile torus worm for photovoltaic rotary drive

In addressing operational issues such as stalling, peculiar sounds, and the uneven distribution of meshing points in the photovoltaic rotary drive reduction drive’s torus worm pair, an optimization approach is applied from a precise worm modeling perspective. At present, there is a scarcity of research focused on the design and solution algorithms for the discrete expression of helical surfaces in straight-profile torus worms. This study integrates point cloud surface reconstruction with algorithmic solutions to establish a model for worms. In the realm of precise modeling for planar double-enveloping torus worms, this method has been previously validated for its ability to significantly enhance modeling accuracy. Commencing with the principles of straight profile torus worm formation, this paper meticulously deduces a comprehensive numerical model for the worm’s working surface. The design incorporates an algorithm for discretizing the worm tooth surface, yielding a thorough point cloud dataset of the worm’s working tooth surface. Finally, considering the distribution of feature points and lines, a method for reconstructing the point cloud into surfaces is strategically devised. The reconstruction is executed through the utilization of MATLAB and UG, crafting a rapid modeling tool and producing a holistic helical worm model.