The bowed narrow plate model
The derivation of a narrow plate model that accommodates shearing, torsional, and bowing effects is presented. The resulting system has mathematical and computational advantages since it is in the form of a system of differential equations depending on only one spatial variable. A validation of the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2000-04-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/27/abstr.html |
| _version_ | 1811317805784498176 |
|---|---|
| author | David L. Russell Luther W. White |
| author_facet | David L. Russell Luther W. White |
| author_sort | David L. Russell |
| collection | DOAJ |
| description | The derivation of a narrow plate model that accommodates shearing, torsional, and bowing effects is presented. The resulting system has mathematical and computational advantages since it is in the form of a system of differential equations depending on only one spatial variable. A validation of the model against frequency data observed in laboratory experiments is presented. The models may be easily combined to form more complicated structures that are hinged along all or portions of their junction boundaries or are coupled differentiably as through the insertion of dowels between the narrow plates. Computational examples are presented to illustrate the types of deformations possible by coupling these models. |
| first_indexed | 2024-04-13T12:14:43Z |
| format | Article |
| id | doaj.art-389ec556cf434b9ebdebc425205f20c0 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T12:14:43Z |
| publishDate | 2000-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-389ec556cf434b9ebdebc425205f20c02022-12-22T02:47:24ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-04-01200027119The bowed narrow plate modelDavid L. RussellLuther W. WhiteThe derivation of a narrow plate model that accommodates shearing, torsional, and bowing effects is presented. The resulting system has mathematical and computational advantages since it is in the form of a system of differential equations depending on only one spatial variable. A validation of the model against frequency data observed in laboratory experiments is presented. The models may be easily combined to form more complicated structures that are hinged along all or portions of their junction boundaries or are coupled differentiably as through the insertion of dowels between the narrow plates. Computational examples are presented to illustrate the types of deformations possible by coupling these models.http://ejde.math.txstate.edu/Volumes/2000/27/abstr.htmlMindlin-Timoshenk platesNarrow Platescoupled structures. |
| spellingShingle | David L. Russell Luther W. White The bowed narrow plate model Electronic Journal of Differential Equations Mindlin-Timoshenk plates Narrow Plates coupled structures. |
| title | The bowed narrow plate model |
| title_full | The bowed narrow plate model |
| title_fullStr | The bowed narrow plate model |
| title_full_unstemmed | The bowed narrow plate model |
| title_short | The bowed narrow plate model |
| title_sort | bowed narrow plate model |
| topic | Mindlin-Timoshenk plates Narrow Plates coupled structures. |
| url | http://ejde.math.txstate.edu/Volumes/2000/27/abstr.html |
| work_keys_str_mv | AT davidlrussell thebowednarrowplatemodel AT lutherwwhite thebowednarrowplatemodel AT davidlrussell bowednarrowplatemodel AT lutherwwhite bowednarrowplatemodel |