3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports
The rotor of the intermediate-pressure cylinder of steam turbine Т-250/300-240 is used for investigating the influence of a transverse crack on its vibration condition with account of faces contact. The rotor is considered in the rotating coordinate system and modelled as a 3D body resting on rigid...
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| Дата: | 2013 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Russian |
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Journal of Mechanical Engineering
2013
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| Онлайн доступ: | https://journals.uran.ua/jme/article/view/43791 |
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journalsuranuajme-article-437912015-06-05T16:16:36Z 3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports Оценка виброхарактеристик ротора с поперечной трещиной на жестких опорах по трехмерной модели Шульженко, Н. Г. Зайцев, Б. Ф. Руденко, Е. К. Асаенок, А. В. rotor oscillations transverse crack finite element model crack faces contact resonance УДК 539.3 УДК 539.3 УДК 539.3 The rotor of the intermediate-pressure cylinder of steam turbine Т-250/300-240 is used for investigating the influence of a transverse crack on its vibration condition with account of faces contact. The rotor is considered in the rotating coordinate system and modelled as a 3D body resting on rigid supports. The finite-element method is used, whereas the crack is modelled using a technique allowing to create on an arbitrary surface a layer of double nodes belonging to different faces of the crack. The matrices in the motion equation are built for a completely open crack, whereas the contact conditions on the crack faces are satisfied by introducing contact forces applied in the double nodes. The time solution of the problem is based on the Newmark scheme, and at each time step iterations determine the distribution of contact forces on the crack faces.The basic variant for numerical investigations with different rotational speeds was a rotor with a 50 % deep crack located in the middle of the rotor body between the discs. In other variants, the crack location over the length of the rotor and the crack depth were changed. It was found that the first natural frequencies of an integral rotor and the segregated natural frequencies of a rotor with a crack when faces contact was not accounted for are lower than the working frequency. According to estimates, a rotor with a "breathing" crack acquires periodic vibrations with a complex spectrum of harmonic components where one can distinguish the first, second and third harmonics. At a rotational speed close to one-half of the lowest natural frequency of an integral rotor, the 2/1 resonance of the second harmonic component is observed. Above this rotational speed, the harmonics are redistributed, and the first harmonic becomes predominant. In the frequency range close to natural frequencies with the first mode of flexural vibrations, the fundamental resonance for the rotational component occurs. The amplitudes of harmonics decrease with an increase of the rotational speed to the running one. If the location of a crack and its depth change, the differences in the values of vibration characteristics can be significant, though the qualitative pattern of results changes insignificantly. На примере ротора цилиндра среднего давления паровой турбины Т-250/300-240 численно исследуется влияние поперечной трещины на его вибрационные характеристики при разных частотах вращения. Применяется трехмерная конечноэлементная модель ротора с учетом контактирования берегов трещины. Приводятся спектральные характеристики вибрационных перемещений ротора с трещиной. На прикладі ротора циліндра середнього тиску парової турбіни Т-250/300-240 чисельно досліджено вплив поперечної тріщини на його вібраційні характеристики при різних частотах обертання. Застосована тривимірна скінченноелементна модель ротора з урахуванням контактування берегів тріщини. Наводяться спектральні характеристики вібраційних переміщень ротора з тріщиною. Journal of Mechanical Engineering Проблемы машиностроения Проблеми машинобудування 2013-08-29 Article Article application/pdf https://journals.uran.ua/jme/article/view/43791 Journal of Mechanical Engineering; Vol. 16 No. 4 (2013); 9-15 Проблемы машиностроения; Том 16 № 4 (2013); 9-15 Проблеми машинобудування; Том 16 № 4 (2013); 9-15 2709-2992 2709-2984 ru https://journals.uran.ua/jme/article/view/43791/40081 Copyright (c) 2015 Н. Г. Шульженко, Б. Ф. Зайцев, Е. К. Руденко, А. В. Асаенок https://creativecommons.org/licenses/by-nd/4.0 |
| institution |
Journal of Mechanical Engineering |
| collection |
OJS |
| language |
Russian |
| topic |
rotor oscillations transverse crack finite element model crack faces contact resonance УДК 539.3 УДК 539.3 УДК 539.3 |
| spellingShingle |
rotor oscillations transverse crack finite element model crack faces contact resonance УДК 539.3 УДК 539.3 УДК 539.3 Шульженко, Н. Г. Зайцев, Б. Ф. Руденко, Е. К. Асаенок, А. В. 3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| topic_facet |
rotor oscillations transverse crack finite element model crack faces contact resonance УДК 539.3 УДК 539.3 УДК 539.3 |
| format |
Article |
| author |
Шульженко, Н. Г. Зайцев, Б. Ф. Руденко, Е. К. Асаенок, А. В. |
| author_facet |
Шульженко, Н. Г. Зайцев, Б. Ф. Руденко, Е. К. Асаенок, А. В. |
| author_sort |
Шульженко, Н. Г. |
| title |
3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_short |
3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_full |
3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_fullStr |
3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_full_unstemmed |
3D model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_sort |
3d model-based evaluation of the vibration characteristics of a rotor with a transverse crack on rigid supports |
| title_alt |
Оценка виброхарактеристик ротора с поперечной трещиной на жестких опорах по трехмерной модели |
| description |
The rotor of the intermediate-pressure cylinder of steam turbine Т-250/300-240 is used for investigating the influence of a transverse crack on its vibration condition with account of faces contact. The rotor is considered in the rotating coordinate system and modelled as a 3D body resting on rigid supports. The finite-element method is used, whereas the crack is modelled using a technique allowing to create on an arbitrary surface a layer of double nodes belonging to different faces of the crack. The matrices in the motion equation are built for a completely open crack, whereas the contact conditions on the crack faces are satisfied by introducing contact forces applied in the double nodes. The time solution of the problem is based on the Newmark scheme, and at each time step iterations determine the distribution of contact forces on the crack faces.The basic variant for numerical investigations with different rotational speeds was a rotor with a 50 % deep crack located in the middle of the rotor body between the discs. In other variants, the crack location over the length of the rotor and the crack depth were changed. It was found that the first natural frequencies of an integral rotor and the segregated natural frequencies of a rotor with a crack when faces contact was not accounted for are lower than the working frequency. According to estimates, a rotor with a "breathing" crack acquires periodic vibrations with a complex spectrum of harmonic components where one can distinguish the first, second and third harmonics. At a rotational speed close to one-half of the lowest natural frequency of an integral rotor, the 2/1 resonance of the second harmonic component is observed. Above this rotational speed, the harmonics are redistributed, and the first harmonic becomes predominant. In the frequency range close to natural frequencies with the first mode of flexural vibrations, the fundamental resonance for the rotational component occurs. The amplitudes of harmonics decrease with an increase of the rotational speed to the running one. If the location of a crack and its depth change, the differences in the values of vibration characteristics can be significant, though the qualitative pattern of results changes insignificantly. |
| publisher |
Journal of Mechanical Engineering |
| publishDate |
2013 |
| url |
https://journals.uran.ua/jme/article/view/43791 |
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2024-06-01T14:42:42Z |
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