Radial point interpolation method (RPIM) for timoshenko beam
Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point in...
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| Format: | Thesis |
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2014
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| _version_ | 1796858127908339712 |
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| author | Kalary, Firdaus Abdol |
| author_facet | Kalary, Firdaus Abdol |
| author_sort | Kalary, Firdaus Abdol |
| collection | ePrints |
| description | Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point interpolation method (RPIM) which is then compared against finite element formulation. Timoshenko beam theory takes into consideration the transverse shear deformation which is ignored in the Euler-Bernoulli beam theory. Shear deformation effect is not negligible if the thickness of a beam becomes larger, so it is in the interest of this study to investigate the deformation of deep beam using RPIM formulation. Convergence study against FEM is conducted to asses the performance of RPIM. It has been found that the convergence to RPIM is comparable to FEM |
| first_indexed | 2024-03-05T19:08:00Z |
| format | Thesis |
| id | utm.eprints-42200 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:08:00Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | utm.eprints-422002020-08-17T02:37:52Z http://eprints.utm.my/42200/ Radial point interpolation method (RPIM) for timoshenko beam Kalary, Firdaus Abdol QC Physics Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point interpolation method (RPIM) which is then compared against finite element formulation. Timoshenko beam theory takes into consideration the transverse shear deformation which is ignored in the Euler-Bernoulli beam theory. Shear deformation effect is not negligible if the thickness of a beam becomes larger, so it is in the interest of this study to investigate the deformation of deep beam using RPIM formulation. Convergence study against FEM is conducted to asses the performance of RPIM. It has been found that the convergence to RPIM is comparable to FEM 2014 Thesis NonPeerReviewed Kalary, Firdaus Abdol (2014) Radial point interpolation method (RPIM) for timoshenko beam. Masters thesis, Universiti Teknologi Malaysia, Faculty of Civil Engineering. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:78879 |
| spellingShingle | QC Physics Kalary, Firdaus Abdol Radial point interpolation method (RPIM) for timoshenko beam |
| title | Radial point interpolation method (RPIM) for timoshenko beam |
| title_full | Radial point interpolation method (RPIM) for timoshenko beam |
| title_fullStr | Radial point interpolation method (RPIM) for timoshenko beam |
| title_full_unstemmed | Radial point interpolation method (RPIM) for timoshenko beam |
| title_short | Radial point interpolation method (RPIM) for timoshenko beam |
| title_sort | radial point interpolation method rpim for timoshenko beam |
| topic | QC Physics |
| work_keys_str_mv | AT kalaryfirdausabdol radialpointinterpolationmethodrpimfortimoshenkobeam |