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Volume 15
Issue 11
10.3390/cryst15110937
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Thermal Stress Effects on Band Structures in Elastic Metamaterial Lattices for Low-Frequency Vibration Control in Space Antennas

by
Shenfeng Wang
1,
Mengxuan Li
1,
Zhe Han
1,
Chafik Fadi
1,
Kailun Wang
1,
Yue Shen
1,
Xiong Wang
1,2,*,
Xiang Li
3,* and
Ying Wu
1,*
1
School of Physics, Nanjing University of Science and Technology, Nanjing 210094, China
2
Tianjin Civil Helicopter R&D Branch, Aircraft Design and Research Institute, Harbin Aircraft Industry (Group) Co., Ltd., Harbin 150066, China
3
School of Science, Wuhan University of Science and Technology, Wuhan 430065, China
*
Authors to whom correspondence should be addressed.
Crystals 2025, 15(11), 937; https://doi.org/10.3390/cryst15110937
Submission received: 23 September 2025 / Revised: 28 October 2025 / Accepted: 29 October 2025 / Published: 30 October 2025
(This article belongs to the Section Crystalline Metals and Alloys)
Versions Notes

Abstract

This paper theoretically and numerically investigates temperature-dependent band structures in elastic metamaterial lattices using a plane wave expansion method incorporating thermal effects. We first analyze a one-dimensional (1D) elastic metamaterials beam, demonstrating that band frequencies decrease with rising temperature and increase with cooling. Then, the method is extended to square and rectangular 2D lattices, where temperature variations show remarkable influence on individual bands; while all bands shift to higher frequencies monotonically with cooling, their rates of change diminish asymptotically as they approach characteristic limiting values. Band structure predictions are validated against frequency response simulations of finite-structure. We further characterize temperature dependence of bands and bandgap widths, and quantify thermal sensitivity for the first four bands. These findings establish passive, robust thermal tuning strategies for ultralow frequency vibration suppression, offering new design routes for space-deployed lattice structures.
Keywords: phononic crystal; plane wave expansion method; lattice structure; thermal stress phononic crystal; plane wave expansion method; lattice structure; thermal stress

Share and Cite

MDPI and ACS Style

Wang, S.; Li, M.; Han, Z.; Fadi, C.; Wang, K.; Shen, Y.; Wang, X.; Li, X.; Wu, Y. Thermal Stress Effects on Band Structures in Elastic Metamaterial Lattices for Low-Frequency Vibration Control in Space Antennas. Crystals 2025, 15, 937. https://doi.org/10.3390/cryst15110937

AMA Style

Wang S, Li M, Han Z, Fadi C, Wang K, Shen Y, Wang X, Li X, Wu Y. Thermal Stress Effects on Band Structures in Elastic Metamaterial Lattices for Low-Frequency Vibration Control in Space Antennas. Crystals. 2025; 15(11):937. https://doi.org/10.3390/cryst15110937

Chicago/Turabian Style

Wang, Shenfeng, Mengxuan Li, Zhe Han, Chafik Fadi, Kailun Wang, Yue Shen, Xiong Wang, Xiang Li, and Ying Wu. 2025. "Thermal Stress Effects on Band Structures in Elastic Metamaterial Lattices for Low-Frequency Vibration Control in Space Antennas" Crystals 15, no. 11: 937. https://doi.org/10.3390/cryst15110937

APA Style

Wang, S., Li, M., Han, Z., Fadi, C., Wang, K., Shen, Y., Wang, X., Li, X., & Wu, Y. (2025). Thermal Stress Effects on Band Structures in Elastic Metamaterial Lattices for Low-Frequency Vibration Control in Space Antennas. Crystals, 15(11), 937. https://doi.org/10.3390/cryst15110937

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