Exact Receptance Function of Cracked Beams and Its Application for Crack Detection
The receptance function is very important which interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the exact receptance function of cracked beams. In this work, the “receptance curvature” is defined as the second derivative of the recept...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9485351 |
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| _version_ | 1832549125656150016 |
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| author | Khoa Viet Nguyen Mai Van Cao |
| author_facet | Khoa Viet Nguyen Mai Van Cao |
| author_sort | Khoa Viet Nguyen |
| collection | DOAJ |
| description | The receptance function is very important which interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the exact receptance function of cracked beams. In this work, the “receptance curvature” is defined as the second derivative of the receptance. The influence of the crack on the receptance curvature is investigated. The results show that when there are cracks, the receptance curvature is influenced significantly at crack positions. This might be useful for the detection of cracks. In this paper, the derivation of exact receptance of the beam with general boundary conditions is presented, and the numerical simulations are provided. |
| format | Article |
| id | doaj-art-d566b537d722401190486bba8368d4ab |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d566b537d722401190486bba8368d4ab2025-02-03T06:12:08ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/94853519485351Exact Receptance Function of Cracked Beams and Its Application for Crack DetectionKhoa Viet Nguyen0Mai Van Cao1Institute of Mechanics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, VietnamInstitute of Mechanics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, VietnamThe receptance function is very important which interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the exact receptance function of cracked beams. In this work, the “receptance curvature” is defined as the second derivative of the receptance. The influence of the crack on the receptance curvature is investigated. The results show that when there are cracks, the receptance curvature is influenced significantly at crack positions. This might be useful for the detection of cracks. In this paper, the derivation of exact receptance of the beam with general boundary conditions is presented, and the numerical simulations are provided.http://dx.doi.org/10.1155/2019/9485351 |
| spellingShingle | Khoa Viet Nguyen Mai Van Cao Exact Receptance Function of Cracked Beams and Its Application for Crack Detection Shock and Vibration |
| title | Exact Receptance Function of Cracked Beams and Its Application for Crack Detection |
| title_full | Exact Receptance Function of Cracked Beams and Its Application for Crack Detection |
| title_fullStr | Exact Receptance Function of Cracked Beams and Its Application for Crack Detection |
| title_full_unstemmed | Exact Receptance Function of Cracked Beams and Its Application for Crack Detection |
| title_short | Exact Receptance Function of Cracked Beams and Its Application for Crack Detection |
| title_sort | exact receptance function of cracked beams and its application for crack detection |
| url | http://dx.doi.org/10.1155/2019/9485351 |
| work_keys_str_mv | AT khoavietnguyen exactreceptancefunctionofcrackedbeamsanditsapplicationforcrackdetection AT maivancao exactreceptancefunctionofcrackedbeamsanditsapplicationforcrackdetection |