Circular thin plates buckling analysis with HRPIM method
This paper aims to introduce a new approach to simulate geometrically nonlinear problems that require shape functions with higher order continuity such as the buckling analysis of circular thin and thick plates based on two theories; Classical plate theory (CPT) and Third order Shear Deformation The...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | E3S Web of Conferences |
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| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00031.pdf |
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| author | Baid Sokayna Hilali Youssef Mesmoudi Saïd Bourihane Oussama |
| author_facet | Baid Sokayna Hilali Youssef Mesmoudi Saïd Bourihane Oussama |
| author_sort | Baid Sokayna |
| collection | DOAJ |
| description | This paper aims to introduce a new approach to simulate geometrically nonlinear problems that require shape functions with higher order continuity such as the buckling analysis of circular thin and thick plates based on two theories; Classical plate theory (CPT) and Third order Shear Deformation Theory (TSDT). The algorithm integrates high-order continuation (HOC) solver and the Hermite-type radial point interpolation method (HRPIM). The in-plane displacement is approximated with RPIM method, while the HRPIM approach is used to compute the transverse component and its derivatives. The governing partial differential equations are discretized using the Galerkin method and solved by combining a Taylor series expansion with a continuation procedure. The paper includes two numerical examples of clamped and simply supported circular plates subjected to radial compression. The critical buckling loads have been calculated for different values of h/R ratio and compared with Finite Elements Method to illustrate the efficiency, robustness and accuracy of this approach across various boundary conditions. |
| format | Article |
| id | doaj-art-54dd7d7410ee46f4b505c6070a569b5b |
| institution | Kabale University |
| issn | 2267-1242 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj-art-54dd7d7410ee46f4b505c6070a569b5b2025-02-05T10:46:25ZengEDP SciencesE3S Web of Conferences2267-12422025-01-016010003110.1051/e3sconf/202560100031e3sconf_icegc2024_00031Circular thin plates buckling analysis with HRPIM methodBaid Sokayna0Hilali Youssef1Mesmoudi Saïd2Bourihane Oussama3Mechanical Engineering Laboratory, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah UniversityMechanical Engineering Laboratory, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah UniversityLISA Laboratory, National School of Applied Sciences, Hassan First UniversityMechanical Engineering Laboratory, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah UniversityThis paper aims to introduce a new approach to simulate geometrically nonlinear problems that require shape functions with higher order continuity such as the buckling analysis of circular thin and thick plates based on two theories; Classical plate theory (CPT) and Third order Shear Deformation Theory (TSDT). The algorithm integrates high-order continuation (HOC) solver and the Hermite-type radial point interpolation method (HRPIM). The in-plane displacement is approximated with RPIM method, while the HRPIM approach is used to compute the transverse component and its derivatives. The governing partial differential equations are discretized using the Galerkin method and solved by combining a Taylor series expansion with a continuation procedure. The paper includes two numerical examples of clamped and simply supported circular plates subjected to radial compression. The critical buckling loads have been calculated for different values of h/R ratio and compared with Finite Elements Method to illustrate the efficiency, robustness and accuracy of this approach across various boundary conditions.https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00031.pdfbucklingcircular platerbfrpimhrpimhigh order continuationcpttsdt |
| spellingShingle | Baid Sokayna Hilali Youssef Mesmoudi Saïd Bourihane Oussama Circular thin plates buckling analysis with HRPIM method E3S Web of Conferences buckling circular plate rbf rpim hrpim high order continuation cpt tsdt |
| title | Circular thin plates buckling analysis with HRPIM method |
| title_full | Circular thin plates buckling analysis with HRPIM method |
| title_fullStr | Circular thin plates buckling analysis with HRPIM method |
| title_full_unstemmed | Circular thin plates buckling analysis with HRPIM method |
| title_short | Circular thin plates buckling analysis with HRPIM method |
| title_sort | circular thin plates buckling analysis with hrpim method |
| topic | buckling circular plate rbf rpim hrpim high order continuation cpt tsdt |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00031.pdf |
| work_keys_str_mv | AT baidsokayna circularthinplatesbucklinganalysiswithhrpimmethod AT hilaliyoussef circularthinplatesbucklinganalysiswithhrpimmethod AT mesmoudisaid circularthinplatesbucklinganalysiswithhrpimmethod AT bourihaneoussama circularthinplatesbucklinganalysiswithhrpimmethod |