Abstract:Objective: To establish a simplified parameterized finite element simulation method ofRCA, explore the effect of RCA during anterior teeth retraction with sliding mechanics, and provide guidance for clinical treatment. Methods: A standard labial archwire of 0.019×0.025 inch was imported into ANSYS software and preloaded spring was used to simulate different angles of RCA to achieve parameterized modeling. A three-dimensional finite element model with labial straight wire appliance, teeth, periodontium and maxillary bone was established to analyze the moving pattern and force system of anterior/posterior teeth under 1.5 N intra-arch traction combined with different angle of the RCA. Results: (1) Preloading forces of 1.5N, 3N, 4.5N, and 6N in spring induced angle of approximately 5°, 10°, 15°, and 20° for RCA, demonstrating the flexibility and convenience of the parameterized modeling method. (2) During intra-arch traction with plain archwire, anterior teeth exhibited lingual crown tipping with extrusion tendency; as the angle of RCA increased, lingual crown displacement of middle incisor gradually decreased, while lateral incisor and canine showed decreased crown tipping and increased lingual root displacement; when the RCA angle was 20°, lateral incisor and canine achieved almost bodily retraction. (3) With the increase in rocking-chair angle, premolars showed extrusion tendency, while molars demonstrated distal crown tipping and intrusion tendency. (4) As the RCA angle increased from 0 °to 20°, intrusive force on the anterior teeth increased, and the M/F ratio decreased from 9.75 to 0.95, theoretically has the potential to achieve almost En-masse retraction of anterior teeth. Conclusion: RCA helps to control moving pattern of maxillary anterior teeth and prevent their over-erection and extrusion during sliding mechanics. The 20° RCA on rigid archwire during intraoral traction gains well torque control of anterior teeth and can achieve their En mass retraction.