Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions
For a system obtained by placing more than two elastic plates side by side, the transmission conditions are obtained at the common boundaries. Finite difference equations are developed for the problem of plates with internal hinges and applied for determination of the response of a system assembled...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/3258423 |
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| _version_ | 1832560132438884352 |
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| author | Vildan Yazıcı Zahir Muradoğlu |
| author_facet | Vildan Yazıcı Zahir Muradoğlu |
| author_sort | Vildan Yazıcı |
| collection | DOAJ |
| description | For a system obtained by placing more than two elastic plates side by side, the transmission conditions are obtained at the common boundaries. Finite difference equations are developed for the problem of plates with internal hinges and applied for determination of the response of a system assembled from three different plates with different mechanical constraints between adjacent plates in this study. An algorithm is written to find out how long the size of the plates should be in order to obtain the desired amount of bending against the force affecting the system under different boundary conditions. The bisection and multigrid methods are used for this. These two methods are compared based on the obtained data. |
| format | Article |
| id | doaj-art-ad55429b179f4e6cb05e4f2365934bde |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ad55429b179f4e6cb05e4f2365934bde2025-02-03T01:28:21ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/32584233258423Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional ConditionsVildan Yazıcı0Zahir Muradoğlu1Department of Mathematics, Kocaeli University, Kocaeli 41380, TurkeyDepartment of Mathematics, Kocaeli University, Kocaeli 41380, TurkeyFor a system obtained by placing more than two elastic plates side by side, the transmission conditions are obtained at the common boundaries. Finite difference equations are developed for the problem of plates with internal hinges and applied for determination of the response of a system assembled from three different plates with different mechanical constraints between adjacent plates in this study. An algorithm is written to find out how long the size of the plates should be in order to obtain the desired amount of bending against the force affecting the system under different boundary conditions. The bisection and multigrid methods are used for this. These two methods are compared based on the obtained data.http://dx.doi.org/10.1155/2020/3258423 |
| spellingShingle | Vildan Yazıcı Zahir Muradoğlu Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions Advances in Mathematical Physics |
| title | Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions |
| title_full | Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions |
| title_fullStr | Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions |
| title_full_unstemmed | Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions |
| title_short | Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions |
| title_sort | determining the geometrical sizes of plates with internal hinges by using additional conditions |
| url | http://dx.doi.org/10.1155/2020/3258423 |
| work_keys_str_mv | AT vildanyazıcı determiningthegeometricalsizesofplateswithinternalhingesbyusingadditionalconditions AT zahirmuradoglu determiningthegeometricalsizesofplateswithinternalhingesbyusingadditionalconditions |