Low-resolution spherical harmonics models in application to quasi-quadric particle shapes
In this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term “quasi” is used hereafter...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2016-12-01
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| Series: | Engineering Structures and Technologies |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/EST/article/view/2473 |
| _version_ | 1818893252517953536 |
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| author | Urtė Radvilaitė Álvaro Ramírez-Gómez Arūnas Jaras Rimantas Kačianauskas Dainius Rusakevičius |
| author_facet | Urtė Radvilaitė Álvaro Ramírez-Gómez Arūnas Jaras Rimantas Kačianauskas Dainius Rusakevičius |
| author_sort | Urtė Radvilaitė |
| collection | DOAJ |
| description | In this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term “quasi” is used hereafter to indicate the monomeric, almost regular shaped, particle described by a single continuous function. This approach reflects the shape of a major part of soil minerals. It was shown, that even the simplest case of the suggested low-resolution harmonics technique with L = 1 showed sufficient accuracy. The main drawback of the suggested approach was that the low-resolution harmonics yield particle shapes with nearly sharp angles, there-fore, enhanced analysis of local surface curvatures becomes necessary. An application using quasi-ellipsoidal particles is enclosed. |
| first_indexed | 2024-12-19T18:09:39Z |
| format | Article |
| id | doaj.art-5370d276cf2f479ab47b55bdf3c1e2fc |
| institution | Directory Open Access Journal |
| issn | 2029-882X 2029-8838 |
| language | English |
| last_indexed | 2024-12-19T18:09:39Z |
| publishDate | 2016-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Engineering Structures and Technologies |
| spelling | doaj.art-5370d276cf2f479ab47b55bdf3c1e2fc2022-12-21T20:11:21ZengVilnius Gediminas Technical UniversityEngineering Structures and Technologies2029-882X2029-88382016-12-018410.3846/2029882X.2016.1268073Low-resolution spherical harmonics models in application to quasi-quadric particle shapesUrtė Radvilaitė0Álvaro Ramírez-Gómez1Arūnas Jaras2Rimantas Kačianauskas3Dainius Rusakevičius4Department of Strength of Materials and Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, LithuaniaDepartment of Mechanical, Chemical and Industrial Design Engineering, Technical University of Madrid, Ronda de Valencia, 3, 28012 Madrid, SpainDepartment of Strength of Materials and Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, LithuaniaDepartment of Strength of Materials and Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, LithuaniaDepartment of Strength of Materials and Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, LithuaniaIn this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term “quasi” is used hereafter to indicate the monomeric, almost regular shaped, particle described by a single continuous function. This approach reflects the shape of a major part of soil minerals. It was shown, that even the simplest case of the suggested low-resolution harmonics technique with L = 1 showed sufficient accuracy. The main drawback of the suggested approach was that the low-resolution harmonics yield particle shapes with nearly sharp angles, there-fore, enhanced analysis of local surface curvatures becomes necessary. An application using quasi-ellipsoidal particles is enclosed.https://journals.vgtu.lt/index.php/EST/article/view/2473soilparticlequasi-quadric shapespherical harmonicscurvaturecontact |
| spellingShingle | Urtė Radvilaitė Álvaro Ramírez-Gómez Arūnas Jaras Rimantas Kačianauskas Dainius Rusakevičius Low-resolution spherical harmonics models in application to quasi-quadric particle shapes Engineering Structures and Technologies soil particle quasi-quadric shape spherical harmonics curvature contact |
| title | Low-resolution spherical harmonics models in application to quasi-quadric particle shapes |
| title_full | Low-resolution spherical harmonics models in application to quasi-quadric particle shapes |
| title_fullStr | Low-resolution spherical harmonics models in application to quasi-quadric particle shapes |
| title_full_unstemmed | Low-resolution spherical harmonics models in application to quasi-quadric particle shapes |
| title_short | Low-resolution spherical harmonics models in application to quasi-quadric particle shapes |
| title_sort | low resolution spherical harmonics models in application to quasi quadric particle shapes |
| topic | soil particle quasi-quadric shape spherical harmonics curvature contact |
| url | https://journals.vgtu.lt/index.php/EST/article/view/2473 |
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