Computation of displacements for nonlinear elastic beam models using monotone iterations
We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000171 |
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| _version_ | 1832552352174833664 |
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| author | Philip Korman |
| author_facet | Philip Korman |
| author_sort | Philip Korman |
| collection | DOAJ |
| description | We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems. |
| format | Article |
| id | doaj-art-4a1a5b9c976844e09a7866525234e02c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4a1a5b9c976844e09a7866525234e02c2025-02-03T05:58:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111112112810.1155/S0161171288000171Computation of displacements for nonlinear elastic beam models using monotone iterationsPhilip Korman0Department of Mathematical Sciences, University of Cincinnati, Cincinnati 45221, Ohio, USAWe study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.http://dx.doi.org/10.1155/S0161171288000171monotone schemeselastic beamexistence and approximationstability. |
| spellingShingle | Philip Korman Computation of displacements for nonlinear elastic beam models using monotone iterations International Journal of Mathematics and Mathematical Sciences monotone schemes elastic beam existence and approximation stability. |
| title | Computation of displacements for nonlinear elastic beam models using monotone iterations |
| title_full | Computation of displacements for nonlinear elastic beam models using monotone iterations |
| title_fullStr | Computation of displacements for nonlinear elastic beam models using monotone iterations |
| title_full_unstemmed | Computation of displacements for nonlinear elastic beam models using monotone iterations |
| title_short | Computation of displacements for nonlinear elastic beam models using monotone iterations |
| title_sort | computation of displacements for nonlinear elastic beam models using monotone iterations |
| topic | monotone schemes elastic beam existence and approximation stability. |
| url | http://dx.doi.org/10.1155/S0161171288000171 |
| work_keys_str_mv | AT philipkorman computationofdisplacementsfornonlinearelasticbeammodelsusingmonotoneiterations |