An optimized finite element modeling method for flexible ring tires was proposed. This method optimizes the number of springs on the conventional flexible ring model supported by radial springs and uses the equivalent carcass deformation of B21 linear beam elements. In this paper, a universal testing machine was used to perform a uniaxial tensile test on a dumbbell-shaped tire rubber sheet, and the stress-strain curve was obtained. The finite element simulation software Abaqus was used to perform superelastic and viscoelastic evaluation and fitting on the material tensile data. A linear perturbation modal analysis was performed on the flexible ring model of a normal radial tire under load and load conditions, and the mode shapes and natural frequencies were extracted. Compared with Singlemodle analysis results, the validity and accuracy of this modeling method was verified. The model was also used to predict the law of the effects of speed, load, and tire pressure on the tire’s natural frequency under dynamic conditions, which provides a reference for tire structure analysis and design.