vestniktgasuВестник Томского государственного архитектурно-строительного университетаVestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture1607-18592310-0044Tomsk State University of Architecture and Building10.31675/1607-1859-2021-23-2-56-64vestniktgasu-969Research ArticleСТРОИТЕЛЬНЫЕ КОНСТРУКЦИИ, ЗДАНИЯ И СООРУЖЕНИЯBUILDING AND CONSTRUCTIONИсследование частот собственных колебаний металлического стержня с моделированием трещиныCrack modeling of metal rod eigen-frequenciesГавриловА. А.GavrilovA. A.

Гаврилов Александр Александрович, канд. техн. наук

Оренбург, пр. Победы, 13

Aleksandr A. Gavrilov, PhD

Orenburg, Pobedy Ave, 13

pialex@bk.ruГребенюкГ. И.GrebenyukG. I.

Гребенюк Григорий Иванович, докт. техн. наук, профессор

Томск, пл. Соляная, 2

Grigorii I. Grebenyuk, DSc, Professor

Tomsk, Solyanaya Sq., 2

greb@sibstrin.ruМаксакВ. И.MaksakV. I.

Максак Владислав Иванович, докт. техн. наук, профессор

Томск, пл. Соляная, 2

Vladislav I. Maksak, DSc, Professor

Tomsk, Solyanaya Sq., 2

МорозовН. А.MorozovN. A.

Морозов Николай Анатольевич, канд. техн. наук, доцент

Оренбург, пр. Победы, 13

Nikolai A. Morozov, PhD, A/Professor

Orenburg, Pobedy Ave, 13

Оренбургский государственный университетРоссияOrenburg State UniversityRussian FederationТомский государственный архитектурно-строительный университетРоссияTomsk State University of Architecture and BuildingRussian Federation2021280420212325664Copyright © Гаврилов А.А., Гребенюк Г.И., Максак В.И., Морозов Н.А., 20212021Гаврилов А.А., Гребенюк Г.И., Максак В.И., Морозов Н.А.Gavrilov A.A., Grebenyuk G.I., Maksak V.I., Morozov N.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.tsuab.ru/jour/article/view/969

The paper presents the development of approaches to the crack detection in metal rod structures based on the analysis of the lowest eigen-frequency modes. Full-scale experiments and numerical calculations are carried out, and the obtained results are compared. A vibration analyzer is used for full-scale experiments, and numerical calculations are performed by using Autodesk Inventor. With regard to the internal friction, the antinodes of various vibration forms were identified using a specially developed program. The model includes sensors for the the field experiment as masses affecting the frequency-response characteristics. The dependences are obtained for eigen-frequencies in the presence of cracks and for the crack locations. The polynomial dependences of the crack location on the lowest eigen-frequency modes of the rod can be used to analyze the crack position of in cantilever beams.

собственные колебаниячастотатонкостенный стерженьтрещинавиброанализатормоды колебанийeigen-frequencythin-walled barcrackvibration analyzervibration modesReferencesFernández-Sáez J., Morassi A., Pressacco M., Rubio L. Unique determination of a single crack in a uniform simply supported beam in bending vibration // Journal of Sound and Vibration. 2017. V. 371. P. 94–109.Fernández-Sáez J., Morassi A., Pressacco M., Rubio L. Unique determination of a single crack in a uniform simply supported beam in bending vibration. Journal of Sound and Vibration. 2017. V. 371. Pр. 94–109.Ахтямов А.М., Каримов А.Р. Диагностирование местоположения трещины по собственным частотам продольных колебаний // Техническая акустика. 2010. Т. 10. С. 3.Akhtyamov A.M., Karimov A.R. Diagnostirovanie mestopolozheniya treshchiny po sobstvennym chastotam prodol'nykh kolebanii [Crack location diagnosis by natural frequencies of longitudinal oscillations]. Tekhnicheskaya akustika. 2010. V. 10. P. 3. (rus)Chuanchuan Hou, Yong Lu. Identification of cracks in thick beams with a cracked beam element model // Journal of Sound and Vibration. 2016. V. 385. P. 104–124.Chuanchuan Hou, Yong Lu. Identification of cracks in thick beams with a cracked beam element model. Journal of Sound and Vibration. 2016. V. 385. Pр. 104–124.Дербасов А.Н. Конечно-элементная вибродиагностика конструкций с трещиной // Транспортные системы. 2017. № 1 (4). С. 49–55.Derbasov A.N. Konechno-elementnaya vibrodiagnostika konstruktsii s treshchinoi [Finite element vibration analysis of cracked structure]. Transportnye sistemy. 2017. No. 1 (4). Pp. 49–55. (rus)Khassetarash А., Hassannejad R. Energy dissipation caused by fatigue crack in beam-like cracked structures // Journal of Sound and Vibration. 2016. V. 363. P. 247–257.Khassetarash А., Hassannejad R. Energy dissipation caused by fatigue crack in beam-like cracked structures. Journal of Sound and Vibration. 2016. V. 363. Pр. 247–257.Gavrilov А., Grebenyuk G., Morozov N., Grehov A. Free Vibrations of Thin-Walled Box-Section Bars Allowing for Shear Strains // International Journal of Engineering & Technology. 2018. V. 7. I. 2. № 13. P. 7–12.Gavrilov А., Grebenyuk G., Morozov N., Grehov A. Free Vibrations of thin-walled box-section bars allowing for shear strains. International Journal of Engineering & Technology. 2018. V. 7. No. 2.13. Pp. 7–12.

The authors declare that there are no conflicts of interest present.