In order to obtain the dynamic stress of the compressor rotor blades under periodic unsteady aerodynamic interference with reduced computational resources and time, an innovative method combining sectional boundary conditions with parameter design language was employed. This method enables rapid harmonic response calculations based on a complete mapping of the aerodynamic load distribution on the blades.Using this approach, the dynamic stress on the rotor blade surfaces was analyzed under varying pressure ratios and rotational speeds.The results indicate that the proposed rapid harmonic response method can accurately determine the dynamic stress on rotor blades. The dominant frequencies of the dynamic stress fluctuation peaks are harmonics of the rotor⁃stator interaction frequency, primarily the first, second, and third orders. As the pressure ratio increases, the dynamic stress on the blades gradually decreases, while the dominant frequency remains essentially unchanged; conversely, as the rotational speed increases, the dynamic stress on the blades gradually increases, and the dominant frequency correspondingly increases. The research findings provide support and reference for the analysis of dynamic stress on rotor blades of axial compressors subjected to periodic dynamic⁃static interference.