Elliptical Crack Identification in a Nonrotating Shaft
It is known that fatigue cracks are one of the most important problems of the mechanical components, since their propagation can cause severe loss, both personal and economic. So, it is essential to know deeply the behavior of the cracked element to have tools that allow predicting the breakage befo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/4623035 |
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| _version_ | 1832554517604859904 |
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| author | B. Muñoz-Abella L. Rubio P. Rubio L. Montero |
| author_facet | B. Muñoz-Abella L. Rubio P. Rubio L. Montero |
| author_sort | B. Muñoz-Abella |
| collection | DOAJ |
| description | It is known that fatigue cracks are one of the most important problems of the mechanical components, since their propagation can cause severe loss, both personal and economic. So, it is essential to know deeply the behavior of the cracked element to have tools that allow predicting the breakage before it happens. The shafts are elements that are specially affected by the described problem, because they are subjected to alternative compression and tension stresses. This work presents, firstly, an analytical expression that allows determining the first four natural frequencies of bending vibration of a nonrotating cracked shaft, assumed as an Euler–Bernoulli beam, with circular cross section under pinned-pinned conditions, taking into account the elliptical shape of the crack. Second, once the direct problem is known, the inverse problem is approached. Genetic Algorithm technique has been used to estimate the crack parameters assuming known the natural frequencies of the cracked shaft. |
| format | Article |
| id | doaj-art-b112d02f4a304975b64f42c69825f662 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-b112d02f4a304975b64f42c69825f6622025-02-03T05:51:18ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/46230354623035Elliptical Crack Identification in a Nonrotating ShaftB. Muñoz-Abella0L. Rubio1P. Rubio2L. Montero3Department of Mechanical Engineering, University Carlos III of Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, SpainDepartment of Mechanical Engineering, University Carlos III of Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, SpainDepartment of Mechanical Engineering, University Carlos III of Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, SpainDepartment of Mechanical Engineering, University Carlos III of Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, SpainIt is known that fatigue cracks are one of the most important problems of the mechanical components, since their propagation can cause severe loss, both personal and economic. So, it is essential to know deeply the behavior of the cracked element to have tools that allow predicting the breakage before it happens. The shafts are elements that are specially affected by the described problem, because they are subjected to alternative compression and tension stresses. This work presents, firstly, an analytical expression that allows determining the first four natural frequencies of bending vibration of a nonrotating cracked shaft, assumed as an Euler–Bernoulli beam, with circular cross section under pinned-pinned conditions, taking into account the elliptical shape of the crack. Second, once the direct problem is known, the inverse problem is approached. Genetic Algorithm technique has been used to estimate the crack parameters assuming known the natural frequencies of the cracked shaft.http://dx.doi.org/10.1155/2018/4623035 |
| spellingShingle | B. Muñoz-Abella L. Rubio P. Rubio L. Montero Elliptical Crack Identification in a Nonrotating Shaft Shock and Vibration |
| title | Elliptical Crack Identification in a Nonrotating Shaft |
| title_full | Elliptical Crack Identification in a Nonrotating Shaft |
| title_fullStr | Elliptical Crack Identification in a Nonrotating Shaft |
| title_full_unstemmed | Elliptical Crack Identification in a Nonrotating Shaft |
| title_short | Elliptical Crack Identification in a Nonrotating Shaft |
| title_sort | elliptical crack identification in a nonrotating shaft |
| url | http://dx.doi.org/10.1155/2018/4623035 |
| work_keys_str_mv | AT bmunozabella ellipticalcrackidentificationinanonrotatingshaft AT lrubio ellipticalcrackidentificationinanonrotatingshaft AT prubio ellipticalcrackidentificationinanonrotatingshaft AT lmontero ellipticalcrackidentificationinanonrotatingshaft |