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A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate
Latin American Journal of Solids and Structures, Volume: 14, Issue: 5, Pages: 765 - 804
Swansea University Author: Chenfeng Li
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DOI (Published version): 10.1590/1679-78253036
Abstract
A new 3-node triangular hybrid displacement function Mindlin- Reissner plate element is developed. Firstly, the modified variational functional of complementary energy for Mindlin-Reissner plate, which is eventually expressed by a so-called displacement function F, is proposed. Secondly, the locking...
Published in: | Latin American Journal of Solids and Structures |
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ISSN: | 1679-7817 1679-7825 |
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FapUNIFESP (SciELO)
2017
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URI: | https://cronfa.swan.ac.uk/Record/cronfa34341 |
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2020-10-16T14:44:45.3668754 v2 34341 2017-06-14 A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2017-06-14 CIVL A new 3-node triangular hybrid displacement function Mindlin- Reissner plate element is developed. Firstly, the modified variational functional of complementary energy for Mindlin-Reissner plate, which is eventually expressed by a so-called displacement function F, is proposed. Secondly, the locking-free formulae of Timoshenko’s beam theory are chosen as the deflection, rotation, and shear strain along each element boundary. Thirdly, seven fundamental analytical solutions of the displacement function F are selected as the trial functions for the assumed resultant fields, so that the assumed resultant fields satisfy all governing equations in advance. Finally, the element stiffness matrix of the new element, denoted by HDF-P3-7β, is derived from the modified principle of complementary energy. Together with the diagonal inertia matrix of the 3-node triangular isoparametric element, the proposed element is also successfully generalized to the free vibration problems. Numerical results show that the proposed element exhibits overall remarkable performance in all benchmark problems, especially in the free vibration analyses. Journal Article Latin American Journal of Solids and Structures 14 5 765 804 FapUNIFESP (SciELO) 1679-7817 1679-7825 1 6 2017 2017-06-01 10.1590/1679-78253036 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-10-16T14:44:45.3668754 2017-06-14T16:03:18.7078862 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Jun-Bin Huang 1 Song Cen 2 Yan Shang 3 Chenfeng Li 0000-0003-0441-211X 4 0034341-14062017161621.pdf huang2017.pdf 2017-06-14T16:16:21.9000000 Output 1438369 application/pdf Version of Record true 2017-06-14T00:00:00.0000000 true eng |
title |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
spellingShingle |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate Chenfeng Li |
title_short |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
title_full |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
title_fullStr |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
title_full_unstemmed |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
title_sort |
A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate |
author_id_str_mv |
82fe170d5ae2c840e538a36209e5a3ac |
author_id_fullname_str_mv |
82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li |
author |
Chenfeng Li |
author2 |
Jun-Bin Huang Song Cen Yan Shang Chenfeng Li |
format |
Journal article |
container_title |
Latin American Journal of Solids and Structures |
container_volume |
14 |
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5 |
container_start_page |
765 |
publishDate |
2017 |
institution |
Swansea University |
issn |
1679-7817 1679-7825 |
doi_str_mv |
10.1590/1679-78253036 |
publisher |
FapUNIFESP (SciELO) |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
department_str |
School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering |
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active_str |
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description |
A new 3-node triangular hybrid displacement function Mindlin- Reissner plate element is developed. Firstly, the modified variational functional of complementary energy for Mindlin-Reissner plate, which is eventually expressed by a so-called displacement function F, is proposed. Secondly, the locking-free formulae of Timoshenko’s beam theory are chosen as the deflection, rotation, and shear strain along each element boundary. Thirdly, seven fundamental analytical solutions of the displacement function F are selected as the trial functions for the assumed resultant fields, so that the assumed resultant fields satisfy all governing equations in advance. Finally, the element stiffness matrix of the new element, denoted by HDF-P3-7β, is derived from the modified principle of complementary energy. Together with the diagonal inertia matrix of the 3-node triangular isoparametric element, the proposed element is also successfully generalized to the free vibration problems. Numerical results show that the proposed element exhibits overall remarkable performance in all benchmark problems, especially in the free vibration analyses. |
published_date |
2017-06-01T03:42:36Z |
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1763751971853959168 |
score |
11.037603 |