Response analysis of deformed vibrated thin wire under loading

The vibration signal response analysis is studied and the Rayleigh method is theoretically used for the calculation of the natural frequency, mode shapes and the associated stress distribution. An experimental analysis of signal for a thin wire as cantilever beams with d = 1mm and 0.5mm, weight 11.9g and 4.5g respectively, is investigated using Arduino Uno interface card with Piezo sensor for a thin stainless steel wire vibration measurements, Matlab program is used for solving the Fast Fourier transform (FFT) and Frequency Response Function (FRF) with carve fitting need for signal analysis. The external design of the form is Changed as the same changed shape of a produced wave in mode shape, in this deformed part the recalculation of parameters study is done and the results are compared with numerical solution, which has been used FEM simulation in Solid Works software with a percentage error between 0.03-0.22%. The simulation results in each method are acceptable for 10% of deformation from the total wire length used, with two smooth deformed edges which have more natural frequency values compared with sharp deformed edge under loading effect.