Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral
Based on the indicator function integral, this paper identifies the displacement of oil storage tank and calibrates the tank capacity table model. The displacement parameters of a cylinder oil tank with spherical caps at both ends are deduced by establishing an appropriate rectangular coordinate sys...
| Principais autores: | , , |
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| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
AIMS Press
2024-01-01
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| coleção: | Mathematical Biosciences and Engineering |
| Assuntos: | |
| Acesso em linha: | https://www.aimspress.com/article/doi/10.3934/mbe.2024082?viewType=HTML |
| _version_ | 1827356016407216128 |
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| author | Qinghua Liu Jing Wang Keying Song |
| author_facet | Qinghua Liu Jing Wang Keying Song |
| author_sort | Qinghua Liu |
| collection | DOAJ |
| description | Based on the indicator function integral, this paper identifies the displacement of oil storage tank and calibrates the tank capacity table model. The displacement parameters of a cylinder oil tank with spherical caps at both ends are deduced by establishing an appropriate rectangular coordinate system while cross-section analysis, coordinate transformation, and the functional relationship between oil reserves and oil level height are used as well. Furthermore, the displacement parameters are determined by the least square method and alternating contraction search method to verify the data, which improves the accuracy of the calculation. This research simplifies the integral operation and can be extended to other types of liquid containers of arbitrary shape as a generally applicable method, which shows significant application value for further research on the integral method of indicator function. |
| first_indexed | 2024-03-08T04:53:03Z |
| format | Article |
| id | doaj.art-e99d6c6024ad4376a7ec5f6ae9a3ff07 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-08T04:53:03Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-e99d6c6024ad4376a7ec5f6ae9a3ff072024-02-08T01:13:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-01-012121872188310.3934/mbe.2024082Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integralQinghua Liu0Jing Wang1Keying Song2Basic Education School, Beijing Information Technology College, Beijing 100070, ChinaBasic Education School, Beijing Information Technology College, Beijing 100070, ChinaBasic Education School, Beijing Information Technology College, Beijing 100070, ChinaBased on the indicator function integral, this paper identifies the displacement of oil storage tank and calibrates the tank capacity table model. The displacement parameters of a cylinder oil tank with spherical caps at both ends are deduced by establishing an appropriate rectangular coordinate system while cross-section analysis, coordinate transformation, and the functional relationship between oil reserves and oil level height are used as well. Furthermore, the displacement parameters are determined by the least square method and alternating contraction search method to verify the data, which improves the accuracy of the calculation. This research simplifies the integral operation and can be extended to other types of liquid containers of arbitrary shape as a generally applicable method, which shows significant application value for further research on the integral method of indicator function.https://www.aimspress.com/article/doi/10.3934/mbe.2024082?viewType=HTMLcalibration of tank capacity tablecoordinate transformationindicator function integralleast square method |
| spellingShingle | Qinghua Liu Jing Wang Keying Song Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral Mathematical Biosciences and Engineering calibration of tank capacity table coordinate transformation indicator function integral least square method |
| title | Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| title_full | Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| title_fullStr | Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| title_full_unstemmed | Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| title_short | Displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| title_sort | displacement identification of oil storage tank and calibration of tank capacity table model based on indicator function integral |
| topic | calibration of tank capacity table coordinate transformation indicator function integral least square method |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024082?viewType=HTML |
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