Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions
This study investigates both the static and dynamic behaviors for the uniform beam supported at its ends by rotational supports. The stiffness coefficients of these supports are treated as interval variables. It is first demonstrated on the static problem that the classical interval analysis may lea...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-0733 |
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| _version_ | 1849691637421178880 |
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| author | Isaac Elishakoff Clément Soret |
| author_facet | Isaac Elishakoff Clément Soret |
| author_sort | Isaac Elishakoff |
| collection | DOAJ |
| description | This study investigates both the static and dynamic behaviors for the uniform beam supported at its ends by rotational supports. The stiffness coefficients of these supports are treated as interval variables. It is first demonstrated on the static problem that the classical interval analysis may lead to overestimation of the response. The paper introduces a remedy for this "ill" of the classical interval analysis. The artificial interval parameter is introduced and the extrema of the static displacements and natural frequencies are determined. Finally, the hybrid case of uncertain boundary conditions and uncertain mass density is treated with attendant interesting results. |
| format | Article |
| id | doaj-art-e2302dd4ed6844f99f6c382b65d1e7cb |
| institution | DOAJ |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e2302dd4ed6844f99f6c382b65d1e7cb2025-08-20T03:20:58ZengWileyShock and Vibration1070-96221875-92032013-01-0120114315610.3233/SAV-2012-0733Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary ConditionsIsaac Elishakoff0Clément Soret1Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, USAInstitut Français de Mécanique Avancée, Aubière, FranceThis study investigates both the static and dynamic behaviors for the uniform beam supported at its ends by rotational supports. The stiffness coefficients of these supports are treated as interval variables. It is first demonstrated on the static problem that the classical interval analysis may lead to overestimation of the response. The paper introduces a remedy for this "ill" of the classical interval analysis. The artificial interval parameter is introduced and the extrema of the static displacements and natural frequencies are determined. Finally, the hybrid case of uncertain boundary conditions and uncertain mass density is treated with attendant interesting results.http://dx.doi.org/10.3233/SAV-2012-0733 |
| spellingShingle | Isaac Elishakoff Clément Soret Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions Shock and Vibration |
| title | Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions |
| title_full | Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions |
| title_fullStr | Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions |
| title_full_unstemmed | Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions |
| title_short | Remedy to Overestimation of Classical Interval Analysis: Analysis of Beams with Uncertain Boundary Conditions |
| title_sort | remedy to overestimation of classical interval analysis analysis of beams with uncertain boundary conditions |
| url | http://dx.doi.org/10.3233/SAV-2012-0733 |
| work_keys_str_mv | AT isaacelishakoff remedytooverestimationofclassicalintervalanalysisanalysisofbeamswithuncertainboundaryconditions AT clementsoret remedytooverestimationofclassicalintervalanalysisanalysisofbeamswithuncertainboundaryconditions |