Hybrid numerical-experimental moire technique for analysis of microstructures

The construction of digital images of isolines of directional derivatives of the deflection of the plate of microstructures builds the ground for hybrid numerical-experimental procedures and enables to analyse the experimental results with greater precision. The procedure for the generation of digital images of isolines of directional derivatives of the deflection of the eigenmodes of bending vibrations of the circular micro plate is developed. The displacement based FEM formulation is developed on the deflection derivatives digital image of isolines, while the smoothing procedure enables the generation of digital images on rather coarse conventional finite element meshes. The introduction of directional smoothing (radial or angular) enables to obtain digital images of isolines with higher precision, as one of the digital images requires only radial while the other only angular smoothing. Thus the smoothing in the unnecessary direction is avoided and does not influence the image. The plotting procedure for the isolines of the directional derivatives of the circular plate is developed in order to obtain more precise images for the characterization dynamics of the microstructures.