Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints
The problem of determining the optimal cross-sectional parameters and joint positions of linearly elastic space frames with imposed stress and multiple frequency constraints was considered. The frame was assumed to be acted on by different independent load systems, including temperature and self-wei...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peter the Great St. Petersburg Polytechnic University
2016-04-01
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| Series: | Инженерно-строительный журнал |
| Subjects: | |
| Online Access: | http://engstroy.spbstu.ru/eng/index_2016_01/07.html |
| _version_ | 1819155864727060480 |
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| author | O.A. Sergeyev V.G. Kiselev S.A. Sergeyeva |
| author_facet | O.A. Sergeyev V.G. Kiselev S.A. Sergeyeva |
| author_sort | O.A. Sergeyev |
| collection | DOAJ |
| description | The problem of determining the optimal cross-sectional parameters and joint positions of linearly elastic space frames with imposed stress and multiple frequency constraints was considered. The frame was assumed to be acted on by different independent load systems, including temperature and self-weight loads. The stress-state analysis includes tension, bending, shear and torsion of beam elements. The warping of beam elements was not taken into account in this problem. The sensitivity analysis of multiple frequencies was performed through analytic differentiation with respect to the joint positions and the sizes of the cross-sections of beam elements. The optimal design is attained through solving a sequence of quadratic programming problems. |
| first_indexed | 2024-12-22T15:43:45Z |
| format | Article |
| id | doaj.art-399097547d5c4f8d9db690cac79fa428 |
| institution | Directory Open Access Journal |
| issn | 2071-4726 2071-0305 |
| language | English |
| last_indexed | 2024-12-22T15:43:45Z |
| publishDate | 2016-04-01 |
| publisher | Peter the Great St. Petersburg Polytechnic University |
| record_format | Article |
| series | Инженерно-строительный журнал |
| spelling | doaj.art-399097547d5c4f8d9db690cac79fa4282022-12-21T18:21:04ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-47262071-03052016-04-0161748110.5862/MCE.61.7Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraintsO.A. SergeyevV.G. KiselevS.A. SergeyevaThe problem of determining the optimal cross-sectional parameters and joint positions of linearly elastic space frames with imposed stress and multiple frequency constraints was considered. The frame was assumed to be acted on by different independent load systems, including temperature and self-weight loads. The stress-state analysis includes tension, bending, shear and torsion of beam elements. The warping of beam elements was not taken into account in this problem. The sensitivity analysis of multiple frequencies was performed through analytic differentiation with respect to the joint positions and the sizes of the cross-sections of beam elements. The optimal design is attained through solving a sequence of quadratic programming problems.http://engstroy.spbstu.ru/eng/index_2016_01/07.htmloptimization of frame structuressensitivity analysislinearly elastic space framesmultiple natural frequencies |
| spellingShingle | O.A. Sergeyev V.G. Kiselev S.A. Sergeyeva Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints Инженерно-строительный журнал optimization of frame structures sensitivity analysis linearly elastic space frames multiple natural frequencies |
| title | Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| title_full | Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| title_fullStr | Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| title_full_unstemmed | Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| title_short | Optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| title_sort | optimal design of 3d frame structures taking into account the stress and multiple natural frequency constraints |
| topic | optimization of frame structures sensitivity analysis linearly elastic space frames multiple natural frequencies |
| url | http://engstroy.spbstu.ru/eng/index_2016_01/07.html |
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