Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)

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Study on global dynamics of a special symmetrically laid composite laminated rectangular plate

Authors
Wensai Ma1, *, Dongxiao Li1, Fanghao Liu1, Shufeng Lv1
1Department of Mechanics, Inner Mongolia University of Technology, Hohhot, People’s Republic of China
*Corresponding author. Email: wensaima@163.com
Corresponding Author
Wensai Ma
Available Online 31 December 2023.
DOI
10.2991/978-94-6463-330-6_3How to use a DOI?
Keywords
Composite laminated rectangular plate; bifurcation; chaos; Melnikov method
Abstract

The global bifurcation and chaotic dynamics of the symmetrically laid orthotropic composite rectangular laminated plate on four simply supported sides is investigated for the first time by means of making use of the generalized Melnikov method. By utilizing the coordinate transformation theory to obtain the nonlinear dynamic system in five dimensions of composite laminated rectangular plates. Calculating the k-pulse Melnikov function of the system based on the generalized Melnikov theory so as to obtain the interval of the chaotic threshold for the composite laminated rectangular plate system. The numerical simulations are performed to validate the theoretical results by making use of MATLAB software, in order to come by bifurcation diagrams, phase diagrams and time history charts for composite laminated rectangular plates and identify the validity of the theoretical analysis. Finally, theoretical analysis and numerical simulation further demonstrate the existence of multi-pulse chaotic motion in composite laminated rectangular plates.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
Series
Atlantis Highlights in Engineering
Publication Date
31 December 2023
ISBN
978-94-6463-330-6
ISSN
2589-4943
DOI
10.2991/978-94-6463-330-6_3How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Wensai Ma
AU  - Dongxiao Li
AU  - Fanghao Liu
AU  - Shufeng Lv
PY  - 2023
DA  - 2023/12/31
TI  - Study on global dynamics of a special symmetrically laid composite laminated rectangular plate
BT  - Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
PB  - Atlantis Press
SP  - 13
EP  - 23
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-330-6_3
DO  - 10.2991/978-94-6463-330-6_3
ID  - Ma2023
ER  -