title: ÐÐ¸Ð±ÑÐ°ÑÐ¸Ð¸ Ð»Ð¾Ð¿Ð°ÑÐ¾Ðº ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ¾Ð² Ð¿ÑÐ¸ Ð¿ÐµÑÐµÑ Ð¾Ð´Ð½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ°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: Vibrations of compressor blades during transients
Creators: name: Ð§Ð¶Ð¾Ñ Ð¦Ð·Ð¸Ð½ÑÐ¹
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: 2022
Subjects: ÐÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÑ
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variational method for calculation of oscillations

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description: The theme of the final qualifying work: Â«Vibrations of compressor blades during transientsÂ». This work is devoted to the study of vibrations of the compressor blades. The blade is considered using a rod model. A variational approach based on the Lagrange equation of the 2nd kind is used. The calculation of natural frequencies and forms of bending vibrations is made. Dynamic displacements and stresses are calculated for resonant vibrations. The amplitude-frequency characteristic of the blade has been constructed. During the study, the following tasks were solved: 1.Â Calculation of natural frequencies and blade shapes; 2.Â Calculation of the amplitudes of forced resonant oscillations. 3.Â Calculation of stresses in the blade. As a result of the study, a number of natural frequencies and blade shapes were found. The amplitudes of forced oscillations of a blade subjected to a harmonic perturbing force with a frequency coinciding with the first natural frequency of bending oscillations are calculated. Dynamic bending stresses are calculated. The proposed approach to considering the vibrations of turbine blades can be used to assess the vibrational reliability of the designed blade.