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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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Detalles Bibliográficos
Autores principales: Xiao, Yue, Tang, Limin, Xie, Jiawei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8122635/
https://www.ncbi.nlm.nih.gov/pubmed/33922030
http://dx.doi.org/10.3390/ma14092116
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author Xiao, Yue
Tang, Limin
Xie, Jiawei
author_facet Xiao, Yue
Tang, Limin
Xie, Jiawei
author_sort Xiao, Yue
collection PubMed
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.
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spelling pubmed-81226352021-05-16 Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number Xiao, Yue Tang, Limin Xie, Jiawei Materials (Basel) Article 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. MDPI 2021-04-22 /pmc/articles/PMC8122635/ /pubmed/33922030 http://dx.doi.org/10.3390/ma14092116 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Xiao, Yue
Tang, Limin
Xie, Jiawei
Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number
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 Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8122635/
https://www.ncbi.nlm.nih.gov/pubmed/33922030
http://dx.doi.org/10.3390/ma14092116
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