Analytical Methods for Determining the Static and Dynamic Behavior of Thin-Walled Structures During Machining

摘要

The flexibility of thin-walled component and presence of a low natural vibrations frequency significantly affects the efficiency and accuracy of the milling, so inevitably arise the problem of determining the details of influence of the deformation of the cutting tool and the natural vibration frequencies. In this paper we construct analytical solutions for these problems for a plate, two opposite edges of which are simply supported, and the other two may be supported by the beam and the plates. Action of the milling cutter modeled by the concentrated force. The results were compared with results obtained by finite element method. The influence of the stiffness of the reinforcing plates on the magnitude of deflection of the loaded plate is studied, and the variation of the deflection depending on the point of application of force is shown. The obtained analytical solutions can be easily used in the software of CNC machines for selecting milling regimes and adjusting of the cutting tool path.