Dynamics of the Euler — Bernoully beam with distributed hysteresis properties
In this paper, we present a new mathematical approach to the analysis of a beam with distributed hysteresis properties. These hysteresis characteristics are described by two methods: phenomenological (Bouc — Wen model) and constructive (Prandtl — Ishlinskii model). The equations for beam are develop...
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| Language: | English |
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Samara National Research University
2024-10-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
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| Online Access: | https://journals.ssau.ru/est/article/viewFile/27933/10853 |
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| _version_ | 1849326628452171776 |
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| author | Evgeny A. Karpov |
| author_facet | Evgeny A. Karpov |
| author_sort | Evgeny A. Karpov |
| collection | DOAJ |
| description | In this paper, we present a new mathematical approach to the analysis of a beam with distributed hysteresis properties. These hysteresis characteristics are described by two methods: phenomenological (Bouc — Wen model) and constructive (Prandtl — Ishlinskii model). The equations for beam are developed using the well-known Hamilton method. We investigate the dynamic response of a hysteresis beam under various external loads, including impulse, periodic and seismic loads. The results of numerical simulations show that the hysteresis beam exhibits differently to external influences as compared to the classical Euler-Bernoulli beam. In particular, under the same external loads, the vibration amplitude and energy characteristics of the hysteresis beam are lower than those of the classical one. These findings can be useful for buildings developers in the design of external load resistant buildings and structures. |
| format | Article |
| id | doaj-art-bc20230937fc4fa593282b132a5a74a8 |
| institution | Kabale University |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-bc20230937fc4fa593282b132a5a74a82025-08-20T03:48:06ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542024-10-01303356210.18287/2541-7525-2024-30-3-35-628821Dynamics of the Euler — Bernoully beam with distributed hysteresis propertiesEvgeny A. Karpov0https://orcid.org/0000-0001-7032-4375Voronezh State UniversityIn this paper, we present a new mathematical approach to the analysis of a beam with distributed hysteresis properties. These hysteresis characteristics are described by two methods: phenomenological (Bouc — Wen model) and constructive (Prandtl — Ishlinskii model). The equations for beam are developed using the well-known Hamilton method. We investigate the dynamic response of a hysteresis beam under various external loads, including impulse, periodic and seismic loads. The results of numerical simulations show that the hysteresis beam exhibits differently to external influences as compared to the classical Euler-Bernoulli beam. In particular, under the same external loads, the vibration amplitude and energy characteristics of the hysteresis beam are lower than those of the classical one. These findings can be useful for buildings developers in the design of external load resistant buildings and structures.https://journals.ssau.ru/est/article/viewFile/27933/10853hysteresiseuler-bernoulli beambouc — wen modelprandtl — ishlinskii modelnonlinear dynamicsstabilityelastoplasticity |
| spellingShingle | Evgeny A. Karpov Dynamics of the Euler — Bernoully beam with distributed hysteresis properties Вестник Самарского университета: Естественнонаучная серия hysteresis euler-bernoulli beam bouc — wen model prandtl — ishlinskii model nonlinear dynamics stability elastoplasticity |
| title | Dynamics of the Euler — Bernoully beam with distributed hysteresis properties |
| title_full | Dynamics of the Euler — Bernoully beam with distributed hysteresis properties |
| title_fullStr | Dynamics of the Euler — Bernoully beam with distributed hysteresis properties |
| title_full_unstemmed | Dynamics of the Euler — Bernoully beam with distributed hysteresis properties |
| title_short | Dynamics of the Euler — Bernoully beam with distributed hysteresis properties |
| title_sort | dynamics of the euler bernoully beam with distributed hysteresis properties |
| topic | hysteresis euler-bernoulli beam bouc — wen model prandtl — ishlinskii model nonlinear dynamics stability elastoplasticity |
| url | https://journals.ssau.ru/est/article/viewFile/27933/10853 |
| work_keys_str_mv | AT evgenyakarpov dynamicsoftheeulerbernoullybeamwithdistributedhysteresisproperties |