Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam
The paper presents the results of tests on dynamic stability of Bernoulli-Euler beam with damages. Damages (cracks) were modeled using three rotational springs. An analysis of the influence of crack depth and their position relative to the beam ends on dynamic stability of the beam was carried out....
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-05-01
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| Series: | Archives of Metallurgy and Materials |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/118809/PDF/AMM-2021-2-23-Garus.pdf |
| _version_ | 1811220341193703424 |
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| author | W. Sochacki S. Garus J. Garus |
| author_facet | W. Sochacki S. Garus J. Garus |
| author_sort | W. Sochacki |
| collection | DOAJ |
| description | The paper presents the results of tests on dynamic stability of Bernoulli-Euler beam with damages. Damages (cracks) were modeled using three rotational springs. An analysis of the influence of crack depth and their position relative to the beam ends on dynamic stability of the beam was carried out. The problem of dynamic stability was solved by applying the mode summation method. Applying an orthogonal condition of eigenfunctions, the dynamic of the system was described with the use of the Mathieu equation. The obtained equation allowed the dynamic stability of the tested system to be analyzed. Stable and unstable solutions were analyzed using the Strutt card. |
| first_indexed | 2024-04-12T07:40:21Z |
| format | Article |
| id | doaj.art-7d518caccee94e2aa93752f775f8a655 |
| institution | Directory Open Access Journal |
| issn | 2300-1909 |
| language | English |
| last_indexed | 2024-04-12T07:40:21Z |
| publishDate | 2021-05-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Metallurgy and Materials |
| spelling | doaj.art-7d518caccee94e2aa93752f775f8a6552022-12-22T03:41:50ZengPolish Academy of SciencesArchives of Metallurgy and Materials2300-19092021-05-01vol. 66No 2519522https://doi.org/10.24425/amm.2021.135887Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler BeamW. Sochacki0https://orcid.org/0000-0002-2764-6480S. Garus1https://orcid.org/0000-0002-6649-5435J. Garus2https://orcid.org/0000-0001-8001-2113Czestochowa University of Technology, Department of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, PolandCzestochowa University of Technology, Department of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, PolandCzestochowa University of Technology, Department of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, PolandThe paper presents the results of tests on dynamic stability of Bernoulli-Euler beam with damages. Damages (cracks) were modeled using three rotational springs. An analysis of the influence of crack depth and their position relative to the beam ends on dynamic stability of the beam was carried out. The problem of dynamic stability was solved by applying the mode summation method. Applying an orthogonal condition of eigenfunctions, the dynamic of the system was described with the use of the Mathieu equation. The obtained equation allowed the dynamic stability of the tested system to be analyzed. Stable and unstable solutions were analyzed using the Strutt card.https://journals.pan.pl/Content/118809/PDF/AMM-2021-2-23-Garus.pdfmaterial cracksbeamdynamic stabilitymathieu equation |
| spellingShingle | W. Sochacki S. Garus J. Garus Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam Archives of Metallurgy and Materials material cracks beam dynamic stability mathieu equation |
| title | Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam |
| title_full | Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam |
| title_fullStr | Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam |
| title_full_unstemmed | Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam |
| title_short | Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam |
| title_sort | influence of material defects on the dynamic stability of the bernoulli euler beam |
| topic | material cracks beam dynamic stability mathieu equation |
| url | https://journals.pan.pl/Content/118809/PDF/AMM-2021-2-23-Garus.pdf |
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