Open Access

ARTICLE

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

Mao Liu^1,2, Jiawei Xiang¹, Haifeng Gao¹, Yongying Jiang¹, Yuqing Zhou¹, Fengping Li¹

1 College of Mechanical & Electrical Engineering, Wenzhou University, Wenzhou, 325035, P.R.China.
2 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.

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Keywords

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