To address the challenge of accurately and efficiently predicting rotor/wing aerodynamic interactions in tiltrotor flight dynamics modeling, a rotor/wing aerodynamic interference model is proposed that integrates a dynamic rotor vortex tube wake representation with a discrete wing panel method. First, a dynamic vortex tube wake model for the rotor is established by comprehensively accounting for both translational and angular motions of the tiltrotor aircraft. The wing is discretized into a series of panels along the spanwise and chordwise directions, and a correction for rotor wake contraction effects is incorporated. The local induced velocity imparted by the rotor wake flow field on each discrete wing panel is precisely determined through vorticity-induced velocity integration, thereby formulating an accurate and efficient computational methodology for rotor/wing aerodynamic interaction. On this basis, by integrating component loads of the rotor, wing, and other elements, mutual interference effects, a hybrid control strategy for tilt transition, and fuselage dynamics, a nonlinear flight dynamics model covering the entire flight envelope is constructed. Finally, comprehensive validation and analysis of the computational method and the flight dynamics model are conducted. The results demonstrate that the proposed approach effectively captures the variation patterns of both the extent and intensity of rotor wake impingement on the wing surface induced by the dynamic evolution of the rotor wake. Rotor/wing aerodynamic interference is shown to be a critical factor governing low-speed trim characteristics. The predictions of the tiltrotor flight dynamics model exhibit favorable agreement with publicly available reference data, confirming its applicability and validity across diverse flight conditions throughout the entire operational envelope.