NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS
The flexural vibration characteristics of rectangular plates with linearly varying thickness is examined. The fourth order differential equation is solved by using Lagrange multiplier method. The thickness of the plate varies linearly along x axis and this variation is taken to be symmetric with re...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2003-03-01
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| Series: | Journal of Engineering |
| Online Access: | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2655 |
| _version_ | 1797266970744193024 |
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| author | Ahmed Abid Al- Hussain Nabil Hassan Hadi |
| author_facet | Ahmed Abid Al- Hussain Nabil Hassan Hadi |
| author_sort | Ahmed Abid Al- Hussain |
| collection | DOAJ |
| description |
The flexural vibration characteristics of rectangular plates with linearly varying thickness is examined. The fourth order differential equation is solved by using Lagrange multiplier method. The thickness of the plate varies linearly along x axis and this variation is taken to be symmetric with respect to the middle surface. Simplicity and quick convergence is the advantage of the method in comparison with other much more laborious numerical metods which require extensive computer facilities A power series is used as an admissible function for the displacement function
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| first_indexed | 2024-03-07T15:36:32Z |
| format | Article |
| id | doaj.art-41aec0d3badc4850a89812b2a0aa7040 |
| institution | Directory Open Access Journal |
| issn | 1726-4073 2520-3339 |
| language | English |
| last_indexed | 2024-04-25T01:09:09Z |
| publishDate | 2003-03-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj.art-41aec0d3badc4850a89812b2a0aa70402024-03-10T09:52:49ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392003-03-0190110.31026/j.eng.2003.01.14NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESSAhmed Abid Al- HussainNabil Hassan Hadi The flexural vibration characteristics of rectangular plates with linearly varying thickness is examined. The fourth order differential equation is solved by using Lagrange multiplier method. The thickness of the plate varies linearly along x axis and this variation is taken to be symmetric with respect to the middle surface. Simplicity and quick convergence is the advantage of the method in comparison with other much more laborious numerical metods which require extensive computer facilities A power series is used as an admissible function for the displacement function https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2655 |
| spellingShingle | Ahmed Abid Al- Hussain Nabil Hassan Hadi NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS Journal of Engineering |
| title | NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS |
| title_full | NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS |
| title_fullStr | NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS |
| title_full_unstemmed | NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS |
| title_short | NATURAL FREQUENCIES OF RECTANGULAR PLATE WITH LINEARLY VARYING THICKNESS |
| title_sort | natural frequencies of rectangular plate with linearly varying thickness |
| url | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2655 |
| work_keys_str_mv | AT ahmedabidalhussain naturalfrequenciesofrectangularplatewithlinearlyvaryingthickness AT nabilhassanhadi naturalfrequenciesofrectangularplatewithlinearlyvaryingthickness |