Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number
There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain d...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/14/9/2116 |
| _version_ | 1797536791836753920 |
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| author | Yue Xiao Limin Tang Jiawei Xie |
| author_facet | Yue Xiao Limin Tang Jiawei Xie |
| author_sort | Yue Xiao |
| collection | DOAJ |
| description | There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering the uncertainty of the design parameters, the data with boundaries but uncertain size are expressed in intervals, and then the interval calculation formula for the permanent deformation of the asphalt mixture is derived, and the interval results are obtained. In order to avoid the dependence of interval calculation on the computer code, according to the interval calculation rule, the interval calculation method with the upper and lower end point values as point operations is proposed. In order to overcome the contradiction between interval expansion results and engineering applications, by splitting the multi-interval variable formulas, the interval variable weights are reasonably given, and the synthesis of each single interval result realizes a simplified calculation based on interval variable weight assignment. The analysis results show that the interval calculation method based on the point operation rule is accurate and reliable, and the simplified method based on the interval variable weight assignment is effective and feasible. The simplified interval calculation method proposed in this paper provides a reference for the interval application of road design theory. |
| first_indexed | 2024-03-10T12:05:51Z |
| format | Article |
| id | doaj.art-8a9050bae61844368096680a84eae129 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T12:05:51Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-8a9050bae61844368096680a84eae1292023-11-21T16:37:42ZengMDPI AGMaterials1996-19442021-04-01149211610.3390/ma14092116Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval NumberYue Xiao0Limin Tang1Jiawei Xie2School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaSchool of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaCollege of Materials Science and Engineering, Hunan University, Changsha 410082, ChinaThere are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering the uncertainty of the design parameters, the data with boundaries but uncertain size are expressed in intervals, and then the interval calculation formula for the permanent deformation of the asphalt mixture is derived, and the interval results are obtained. In order to avoid the dependence of interval calculation on the computer code, according to the interval calculation rule, the interval calculation method with the upper and lower end point values as point operations is proposed. In order to overcome the contradiction between interval expansion results and engineering applications, by splitting the multi-interval variable formulas, the interval variable weights are reasonably given, and the synthesis of each single interval result realizes a simplified calculation based on interval variable weight assignment. The analysis results show that the interval calculation method based on the point operation rule is accurate and reliable, and the simplified method based on the interval variable weight assignment is effective and feasible. The simplified interval calculation method proposed in this paper provides a reference for the interval application of road design theory.https://www.mdpi.com/1996-1944/14/9/2116road design theoryasphalt mixture permanent deformationinterval formulauncertaintyinterval analysis theory |
| spellingShingle | Yue Xiao Limin Tang Jiawei Xie Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number Materials road design theory asphalt mixture permanent deformation interval formula uncertainty interval analysis theory |
| title | Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number |
| title_full | Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number |
| title_fullStr | Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number |
| title_full_unstemmed | Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number |
| title_short | Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number |
| title_sort | calculation method of permanent deformation of asphalt mixture based on interval number |
| topic | road design theory asphalt mixture permanent deformation interval formula uncertainty interval analysis theory |
| url | https://www.mdpi.com/1996-1944/14/9/2116 |
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