Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses
This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was u...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2023-12-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/19697 |
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| author | Thao Thi Bich Dao Khoa Viet Nguyen Quang Van Nguyen |
| author_facet | Thao Thi Bich Dao Khoa Viet Nguyen Quang Van Nguyen |
| author_sort | Thao Thi Bich Dao |
| collection | DOAJ |
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This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was used conveniently. However, for nonuniform AFG beams with nonlinearly varying ratios of properties, the geometric series cannot be used, thus the other type of power series needs to be established and applied. In this paper, the derivation of the power series applied for obtaining the exact receptance function of a nonuniform AFG beam with nonlinearly varying ratios of properties is presented. Numerical simulation results of the receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses are conducted and provided. The influences of the concentrated masses and the varying ratios of properties of beam on the receptance matrix are also investigated and presented.
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| format | Article |
| id | doaj-art-fe31b50ef9234fe9a7481d72f95cf793 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-fe31b50ef9234fe9a7481d72f95cf7932025-08-20T02:10:38ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822023-12-0145410.15625/0866-7136/19697Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated massesThao Thi Bich Dao0https://orcid.org/0009-0004-5234-9738Khoa Viet Nguyen1Quang Van Nguyen2Institute of Mechanics, VAST, Hanoi, Vietnam<br>Graduate University of Science and Technology, VAST, Hanoi, VietnamInstitute of Mechanics, VAST, Hanoi, Vietnam<br>Graduate University of Science and Technology, VAST, Hanoi, Vietnam<br>VNU University of Engineering and Technology, Hanoi, VietnamInstitute of Mechanics, VAST, Hanoi, Vietnam This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was used conveniently. However, for nonuniform AFG beams with nonlinearly varying ratios of properties, the geometric series cannot be used, thus the other type of power series needs to be established and applied. In this paper, the derivation of the power series applied for obtaining the exact receptance function of a nonuniform AFG beam with nonlinearly varying ratios of properties is presented. Numerical simulation results of the receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses are conducted and provided. The influences of the concentrated masses and the varying ratios of properties of beam on the receptance matrix are also investigated and presented. https://vjs.ac.vn/index.php/vjmech/article/view/19697receptancefrequency response functionconcentrated massfunctionally graded material beam |
| spellingShingle | Thao Thi Bich Dao Khoa Viet Nguyen Quang Van Nguyen Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses Vietnam Journal of Mechanics receptance frequency response function concentrated mass functionally graded material beam |
| title | Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| title_full | Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| title_fullStr | Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| title_full_unstemmed | Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| title_short | Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| title_sort | exact receptance function of a tapered afg beam with nonlinearly varying ratios of beam properties carrying concentrated masses |
| topic | receptance frequency response function concentrated mass functionally graded material beam |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/19697 |
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