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A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate

Jun-Bin Huang, Song Cen, Yan Shang, Chenfeng Li Orcid Logo

Latin American Journal of Solids and Structures, Volume: 14, Issue: 5, Pages: 765 - 804

Swansea University Author: Chenfeng Li Orcid Logo

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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...

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Published in: Latin American Journal of Solids and Structures
ISSN: 1679-7817 1679-7825
Published: FapUNIFESP (SciELO) 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa34341
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spelling 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
container_issue 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
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title 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
document_store_str 1
active_str 0
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
_version_ 1763751971853959168
score 11.013731

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