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Research on Band Structure of One-dimensional Phononic Crystals Based on Wavelet Finite Element Method

Mao Liu1,2, Jiawei Xiang1, Haifeng Gao1, Yongying Jiang1, Yuqing Zhou1, Fengping Li1
College of Mechanical & Electrical Engineering, Wenzhou University, Wenzhou, 325035, P.R.China.
School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin, 541004, P.R. China.

Computer Modeling in Engineering & Sciences 2014, 97(5), 425-436. https://doi.org/10.3970/cmes.2014.097.425

Abstract

A wavelet finite element method (WFEM) is developed to analyze the dispersion relation for one-dimensional phononic crystals (1DPCs). In order to calculate the band gaps (BGs) of 1DPCs, the wavelet finite element model is constructed using a slender beam element based on B-spline wavelet on the interval (BSWI). Combining with the Bloch-Floquet theorem and ω(k) technique, the model will be simplified as a simple eigenproblem. The performance of the proposed method has been numerically verified by one numerical example.

Keywords

Wavelet finite element, Band gaps, Phononic crystals, Dynamic characteristic, slender beam.

Cite This Article

Liu, M., Xiang, J., Gao, H., Jiang, Y., Zhou, Y. et al. (2014). Research on Band Structure of One-dimensional Phononic Crystals Based on Wavelet Finite Element Method. CMES-Computer Modeling in Engineering & Sciences, 97(5), 425–436.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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