<p>The Rational Absolute Nodal Coordinate Formulation (RANCF) enhances the geometric flexibility of element representation by introducing weights, but it also poses challenges in defining elements with specific configurations. This study presents a precise definition of circular arc RANCF elements incorporating arc directionality based on geometric parameters, and develops a splicing strategy to ensure gradient continuity between circular arc elements with different geometric parameters. Moreover, it is demonstrated that the poor integration performance of shape functions in non-uniformly parameterized RANCF elements leads to cumulative errors in the stiffness matrix, constituting a major factor that limits the accuracy and efficiency of numerical simulations. To address this issue, a weight optimization algorithm is proposed to improve the uniformity of parameter point distribution. Numerical results confirm that this optimization strategy effectively reduces the number of elements required for convergence and improves both computational precision and performance, especially in dynamic simulations involving large deformations of flexible bodies.</p>