The study of the gas compressor units profile blade changes influence on the nature of generated by them vibrations

Abstract

The gas-pump units blades profile geometry changing influence estimation on the character of one’s vibration method has been designed. The reasons of axe compressor blades geometry changing have been described, the method of blade profile mathematical formalization has been selected. To interpolate the blades profile the Hermitte polynomial and the ellipse equation have been used, which allow to calculate the profile section square and one’s inertia momentum using the numerical integral calculation method.

The blades profile was considered as the combination of four different sections with the conditions of smooth connections taking to account the results of profile points displacements measuring. It was considered the different kinds of gas-pump units vibrations both with the accurate solutions of corresponding equations of vibrations taking to account the initial and boundary conditions, the mathematical models of such process was realized to compare the blades vibrations parameter with different geometrical configurations and the influence of the profile section square and one’s inertia momentum changing, which are presented in vibrations equations as coefficients, on the vibrations parameters. It allows to make the analysis of the axe compressor blades real technical state to take a decision concerning one’s future exploitation. The corresponding software was designed, the test calculations was made, the results was presented as the graphics both with value of the section square and one’s inertia momentum for the real profile.