Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections
This paper describes one-dimensional periodic shell structures that have variable cross sections, a new type of periodic shell structures made from photopolymer. This paper will discuss the stiffness of periodic sub-cells that have variable cross sections and the band gaps of Bragg scattering shell...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023013981 |
| _version_ | 1797851849338912768 |
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| author | Yukuan Dou Jinguang Zhang Yefa Hu Xianglong Wen Xu Xia Meng Zang |
| author_facet | Yukuan Dou Jinguang Zhang Yefa Hu Xianglong Wen Xu Xia Meng Zang |
| author_sort | Yukuan Dou |
| collection | DOAJ |
| description | This paper describes one-dimensional periodic shell structures that have variable cross sections, a new type of periodic shell structures made from photopolymer. This paper will discuss the stiffness of periodic sub-cells that have variable cross sections and the band gaps of Bragg scattering shell structures based on numerical analysis and a series of experiments. This paper uses the Bloch theorem and lumped-mass method to create a band gap model for periodic shell structures. In this paper, an equivalent stiffness model for sub-cells is also created based on the principle of superposition and validated by experiments. Numerical studies and experiments are conducted to examine the effects of geometrical parameters, number of sub-cells, and stiffness of sub-cells on band gaps of one-dimensional periodic shell structures and to test the effectiveness of the models. The findings in this paper prove that by varying the stiffness of sub-cells under a fixed lattice constant, band gaps of one-dimensional periodic shell structures can be decreased. The findings also confirmed that the initial band gap of one-dimensional periodic shell structures can be lowered by increasing the number of sub-cells in a period. Unlike other types of Bragg scattering periodic structures, one-dimensional periodic shell structures allow their longitudinal band gaps to be adjusted under a fixed lattice constant. Those findings serve as a theoretical foundation for the application of Bragg scattering periodic shell structures in low-frequency vibration. |
| first_indexed | 2024-04-09T19:23:21Z |
| format | Article |
| id | doaj.art-5f7aee0d4cfb479598974b987482a0ee |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-09T19:23:21Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-5f7aee0d4cfb479598974b987482a0ee2023-04-05T08:21:13ZengElsevierHeliyon2405-84402023-03-0193e14191Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sectionsYukuan Dou0Jinguang Zhang1Yefa Hu2Xianglong Wen3Xu Xia4Meng Zang5Sanya Science and Education Innovation Park, Wuhan University of Technology, Sanya 572000, China; School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Hubei Provincial Engineering Technology Research Center for Magnetic Suspension, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, China; Corresponding author. School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China.School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Hubei Provincial Engineering Technology Research Center for Magnetic Suspension, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Hubei Provincial Engineering Technology Research Center for Magnetic Suspension, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China; Institute of Advanced Material and Manufacturing Technology, Wuhan University of Technology, Wuhan 430070, ChinaThis paper describes one-dimensional periodic shell structures that have variable cross sections, a new type of periodic shell structures made from photopolymer. This paper will discuss the stiffness of periodic sub-cells that have variable cross sections and the band gaps of Bragg scattering shell structures based on numerical analysis and a series of experiments. This paper uses the Bloch theorem and lumped-mass method to create a band gap model for periodic shell structures. In this paper, an equivalent stiffness model for sub-cells is also created based on the principle of superposition and validated by experiments. Numerical studies and experiments are conducted to examine the effects of geometrical parameters, number of sub-cells, and stiffness of sub-cells on band gaps of one-dimensional periodic shell structures and to test the effectiveness of the models. The findings in this paper prove that by varying the stiffness of sub-cells under a fixed lattice constant, band gaps of one-dimensional periodic shell structures can be decreased. The findings also confirmed that the initial band gap of one-dimensional periodic shell structures can be lowered by increasing the number of sub-cells in a period. Unlike other types of Bragg scattering periodic structures, one-dimensional periodic shell structures allow their longitudinal band gaps to be adjusted under a fixed lattice constant. Those findings serve as a theoretical foundation for the application of Bragg scattering periodic shell structures in low-frequency vibration.http://www.sciencedirect.com/science/article/pii/S2405844023013981Periodic structuresBand gapsStiffnessVariable cross sections |
| spellingShingle | Yukuan Dou Jinguang Zhang Yefa Hu Xianglong Wen Xu Xia Meng Zang Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections Heliyon Periodic structures Band gaps Stiffness Variable cross sections |
| title | Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections |
| title_full | Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections |
| title_fullStr | Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections |
| title_full_unstemmed | Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections |
| title_short | Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections |
| title_sort | numerical and experimental analysis of the stiffness and band gap properties of shell structures with periodically variable cross sections |
| topic | Periodic structures Band gaps Stiffness Variable cross sections |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023013981 |
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