A finite element model has been developed to study the propagation velocity of a horizontally polarized shear waves (SH-waves) in pipes of different diameters depending on geometrical parameters, excitation parameters, physical and elastic properties of the pipe material. The results of studies of the geometric anisotropy of the group and phase velocities of the SH-wave for a pipe with a diameter of 1020 mm with a wall thickness of 16 mm are presented. It has been established that in the case of isotropic properties of the pipe material, the velocity on the outer cylindrical surface in the direction of the envelope is 50 m/s more than on the generatrix. The radiation patterns of the SH-wave are given for the studied pipe size with radiation along the generatrix and envelope of the pipe. The results of experimental studies are in satisfactory agreement with the results of modeling.
The article presents studies of the propagation velocity of the symmetric Lamb wave in a pipe with a diameter of 247 mm and a wall thickness of 8.4 mm. Studies include finite element modeling of the wave propagation process and an experiment using piezoelectric transducers with dry point contact based on sounding 600 mm of pipe at a frequency of 50 kHz. Plots of displacement components at wave propagation in the axial and circumferential directions are obtained, which show the prevalence of the longitudinal component over the vertical shear component from 6 to 30 times. The difference in the wave velocity at its propagation in the axial and circumferential directions was established, which amounted to 290 m/s. The simulation results are in satisfactory agreement with the experimental data.
The article presents research on the propagation of an antisymmetric Lamb wave mode in a hollow steel cylinder with an outer diameter of 1020 mm and a wall thickness of 16 mm at frequencies of 50 and 120 kHz. Dispersion curves for a pipe and a plate are given, examples of which show their similarity in the frequency range from 5 kHz and the presence of higher-order modes. Experimental studies were carried out using piezoelectric transducers with dry point contact on a spiral welded pipe. The research results showed the combined effect of the geometric anisotropy and anisotropy of the pipe material properties on the propagation velocity of the antisymmetric Lamb wave mode. The maximum difference in velocity depending on the angle of deviation of the wave propagation trajectory (deviation angle) was 35 and 55 m/s at a frequency of 50 and 120 kHz, respectively. The effect of the pipe wall thickness on the character of the dependence of the velocity on the deviation angle in the presence of dispersion was established, which amounted to 20 m/s per 1 mm of wall thickness for a given pipe geometry. A qualitative description of the formation of the shape of the dependence of the wave velocity on the deviation angle, which has a minimum at 30 degrees and a maximum at 90 degrees, is presented.
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