Effect of continuous defects to the vibrations of a sheet of paper

Abstract

Tirta tampros modulio ir tankio defektų įtaka tikrinėms popieriaus lenkimo virpesių vertėms. Tampros modulio ir tankio pokyčių įtakos tikrinėms vertėms grafikai gauti taikant jungtinio glotninimo procedūrą. Projekcinio muaro metodu eksperimentiškai tirtos popieriaus su defektais ir be jų virpesiais žadinamos savos formos. Pasiūlytasis optinis defektų diagnostikos metodas gali būti taikomas pakavimo medžiagų automatinės kontrolės sistemose

The effect of the defects of the modulus of elasticity and of the density to the eigenvalues of bending vibrations of a sheet of paper is analyzed. Graphical representations of the effects of change of the modulus of elasticity and of the density for the first eigenmodes are determined by using the procedure of conjugate smoothing. By using the procedure of experimental investigations on the basis of the method of projection moire the eigenmodes of the paper excited by vibrations were determined for the paper with defects and without them. The proposed method of optical diagnostics of defects is applicable in the systems of automatic control of packaging materials