Variational Approaches to Optimal Control Design for Elastic Body Motions
Variational and projection statements of an initial-boundary value problem for the direct and inverse dynamics of elastic bodies are proposed. An optimal control problem of 3D linear elastic motions for rectilinear beams with the rectangular cross section is studied. Based on the generalized formula...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-09-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F_599569477/157_3_phys_mat_14.pdf |
| _version_ | 1797857434560102400 |
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| author | V.V. Saurin G.V. Kostin |
| author_facet | V.V. Saurin G.V. Kostin |
| author_sort | V.V. Saurin |
| collection | DOAJ |
| description | Variational and projection statements of an initial-boundary value problem for the direct and inverse dynamics of elastic bodies are proposed. An optimal control problem of 3D linear elastic motions for rectilinear beams with the rectangular cross section is studied. Based on the generalized formulations, a numerical algorithm is developed to design the optimal displacement of such elastic beams. The results of numerical simulation and quality analysis are presented and discussed. |
| first_indexed | 2024-04-09T20:56:40Z |
| format | Article |
| id | doaj.art-a3c9b48c8af040cfa551e9ccddc0e0f3 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-09T20:56:40Z |
| publishDate | 2015-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-a3c9b48c8af040cfa551e9ccddc0e0f32023-03-29T17:18:50ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982015-09-011573122136Variational Approaches to Optimal Control Design for Elastic Body MotionsV.V. Saurin0G.V. Kostin1Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 RussiaIshlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 RussiaVariational and projection statements of an initial-boundary value problem for the direct and inverse dynamics of elastic bodies are proposed. An optimal control problem of 3D linear elastic motions for rectilinear beams with the rectangular cross section is studied. Based on the generalized formulations, a numerical algorithm is developed to design the optimal displacement of such elastic beams. The results of numerical simulation and quality analysis are presented and discussed.https://kpfu.ru/portal/docs/F_599569477/157_3_phys_mat_14.pdfoptimal controldynamicslinear theory of elasticityvariational principlessemi-discretization |
| spellingShingle | V.V. Saurin G.V. Kostin Variational Approaches to Optimal Control Design for Elastic Body Motions Учёные записки Казанского университета. Серия Физико-математические науки optimal control dynamics linear theory of elasticity variational principles semi-discretization |
| title | Variational Approaches to Optimal Control Design for Elastic Body Motions |
| title_full | Variational Approaches to Optimal Control Design for Elastic Body Motions |
| title_fullStr | Variational Approaches to Optimal Control Design for Elastic Body Motions |
| title_full_unstemmed | Variational Approaches to Optimal Control Design for Elastic Body Motions |
| title_short | Variational Approaches to Optimal Control Design for Elastic Body Motions |
| title_sort | variational approaches to optimal control design for elastic body motions |
| topic | optimal control dynamics linear theory of elasticity variational principles semi-discretization |
| url | https://kpfu.ru/portal/docs/F_599569477/157_3_phys_mat_14.pdf |
| work_keys_str_mv | AT vvsaurin variationalapproachestooptimalcontroldesignforelasticbodymotions AT gvkostin variationalapproachestooptimalcontroldesignforelasticbodymotions |