On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference
The stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000789 |
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| _version_ | 1832567402626285568 |
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| author | M. G. El Sheikh A. H. Khater D. K. Callebaut |
| author_facet | M. G. El Sheikh A. H. Khater D. K. Callebaut |
| author_sort | M. G. El Sheikh |
| collection | DOAJ |
| description | The stationary periodical problem of a vibrating rectangular plate, stressed at a segment
while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem
is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic
equations. The truncation of the algebraic system is justified. |
| format | Article |
| id | doaj-art-c4e13547684245e7b6ce545e84d4dae5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c4e13547684245e7b6ce545e84d4dae52025-02-03T01:01:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114358158610.1155/S0161171291000789On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumferenceM. G. El Sheikh0A. H. Khater1D. K. Callebaut2Mathematics Department, Faculty of Science, Ain Shams University, Cairo, EgyptMathematics Department, Faculty of Science, Cairo University, Beni-Suef, EgyptPhysics Department, University of Antwerp, (U.I.A.), Antwerp B2610, BelgiumThe stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic equations. The truncation of the algebraic system is justified.http://dx.doi.org/10.1155/S0161171291000789stationary vibrationsmixed boundary value problemselastodynamics. |
| spellingShingle | M. G. El Sheikh A. H. Khater D. K. Callebaut On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference International Journal of Mathematics and Mathematical Sciences stationary vibrations mixed boundary value problems elastodynamics. |
| title | On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| title_full | On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| title_fullStr | On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| title_full_unstemmed | On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| title_short | On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| title_sort | on the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference |
| topic | stationary vibrations mixed boundary value problems elastodynamics. |
| url | http://dx.doi.org/10.1155/S0161171291000789 |
| work_keys_str_mv | AT mgelsheikh onthestationaryvibrationsofarectangularplatesubjectedtostressprescribedpartiallyatthecircumference AT ahkhater onthestationaryvibrationsofarectangularplatesubjectedtostressprescribedpartiallyatthecircumference AT dkcallebaut onthestationaryvibrationsofarectangularplatesubjectedtostressprescribedpartiallyatthecircumference |