High efficiency and high precision milling of thin-walled component (such as turbine blade) is still a challenging problem due to the weak rigidity and time-varying modal parameters of workpiece, as well as the complex cutting tool path. In this paper, the dynamic response of a thin-walled component with variable thickness in milling process is discussed based on the first shear deformation theory and Lagrange equation. The mixed Rayleigh-Ritz solution together with penalty method is presented to evaluate the spatial partial derivatives and boundary conditions. The influences of the thickness of plate and the cutter moving path on deformation of component are investigated, and milling experiments of thin-walled part are performed to verify the accuracy and efficiency of the presented method.
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