Numerical and experimental analysis of the stiffness and band-gap properties of shell structures with periodically variable cross sections

• Published in: Heliyon Vol. 9; no. 3; p. e14191
• Main Authors: Dou, Yukuan, Zhang, Jinguang, Hu, Yefa, Wen, Xianglong, Xia, Xu, Zang, Meng
• Format: Journal Article
• Language: English
• Published: England Elsevier Ltd 01-03-2023; Elsevier
• Subjects: Band gaps; Periodic structures; Stiffness; Variable cross sections; Variable cross sections; Stiffness; Band gaps; Periodic structures
• ISSN: 2405-8440; 2405-8440
• DOI: 10.1016/j.heliyon.2023.e14191

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.