This paper, based on the node insertion algorithm for NURBS curves, explicitly defines the method for calculating the node coordinates and weights of subdivided element, without altering the geometric properties and parameter distribution of the RANCF elements. However, the diversity in the definition of RANCF elements can lead to uncontrollable subdivision in parameter space. To address the distortion in the subdivision process of non-uniformly parameterized elements, this paper introduces a distribution density function for the element parameter points and establishes a calculation method for the parameter space subdivision nodes corresponding to the arc length in physical space. This method enables precise subdivision of differently parameterized arc elements in the physical space. Ultimately, guided by numerical computation results, the subdivision criteria for RANCF elements were determined. The results indicate that local refinement in regions with denser parameter point distribution can both ensure computational accuracy and improve computational efficiency.