title: ÐÐ¾Ð¿ÑÐ¾ÑÑ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¸Ðº Ð´Ð»Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð°ÑÑÐ¾Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸Ñ ÑÑÑÐ±Ð¸Ð½Ð½ÑÑ Ð»Ð¾Ð¿Ð°ÑÐ¾Ðº Ð¿ÑÐ¸ Ð½Ð°Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸ÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Issues of aero-excitation of turbine blades with superimposed oscillations
Creators: name: ÐÑÐ°Ð´ÑÑÐ¾Ð², ÐÐ½Ð´ÑÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÐ°Ð±Ð¾ÑÐ°Ñ Ð»Ð¾Ð¿Ð°ÑÐºÐ°
Ð°ÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸Ð»Ñ
Ð°ÑÑÐ¾Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸Ðµ
ÑÑÑÐ±Ð¸Ð½Ð° Ð½Ð¸Ð·ÐºÐ¾Ð³Ð¾ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ
ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ
turbine blade
aerodynamic forces
aero excitation
low pressure turbine
eigen mode-oscillations

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description: The subject of the graduate qualification work is âThe practical application of various methods for the numerical solution of the aero-excitation problem of turbine blades with superimposed oscillationsâ.This work is devoted to the study of excitation of self-oscillations in the last stage bladerowof a powerful steam turbine. The features of the application of various calculation methods for determining the energy of aero-excitation transmitted to oscillating blades from a gas stream are considered. The research set the following goals:1. Study of the unsteady flow of a perfect gas through a rotor blade rowof the last stage of a powerful steam turbine with the first eigen-mode oscillation modes of a bandaged blade row superimposed on the blade surface. Three-dimensional problem with the condition of circumferential periodicity for a package of blades corresponding to the oscillation mode with the number of nodal diameters multiple of the blades number.2. Calculation of aero-excitation in the blade row with a complete set of rotor blades for several oscillation modes, including modes with the same number of nodal diameters as in the first problem.3. Simulation of aero-excitation using the phase shifted periodic boundary techniquesâHarmonic Balance and Time Integration approaches implemented in the ANSYS CFX package, providing for the limited by two inter-bladechannels computational domain.4. Comparison of aero-excitation determining methods.The work was fulfilled at Higher School of Applied Mathematics and Computational Physics of SPbPU with using the resources of Supercomputer Center âPolytechnicâ. The analysis was conducted with the use of commercial software ANSYS CFX.The unsteady flow ofan ideal gas was modeled by solving the unsteady Reynolds equations. The Reynolds stress tensor was closed using the k-Ï SST turbulence model.Studies for various eigen-mode forms have shown that each of the considered methods predicts the same areas of aero-damping and aero-excitation of the blade row.