DIRECTIONAL CONJUGATE SMOOTHING OF REFLECTION MOIRE IMAGES

Abstract

The construction of digital images of isolines of directional derivatives of the deflection of the plate 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 plate is developed. A displacement based FEM formulation of this problem is used for building of digital image of isolines based on the deflection derivatives. The presented 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.