Displacement field sensing and reconstruction for vibration of a thin-wall plate

The machining of complex thin-wall aircraft components has been a challenging task because workpiece deformation and vibration render poor precision in final products, which requires displacement field measurements for vibration compensation techniques to enhance product quality. Continuous deformations in both spatial and time domains, during the machining of thin-walled plates, are difficult to capture by traditional experiment or simulation methods. In the context of an engineering application where an annular compressor disk is lathe-turned on a duplex machine, this paper presents a displacement field reconstruction (DFR) method to capture plate dynamic behaviors, which provides a basis for workpiece vibration compensation. As an illustration emulating the cutting conditions of a compressor disk, the deformed shapes of an annular plate subjected to external loads and two different constraint configurations were simulated by the DFR and compared with that of a nonlinear FEA. It analyzes the effects of the number of sensors on the DFR efficiency including percentage error and time cost. Finally, the proposed DFR method was experimentally validated in both static and dynamic cases.