TY - EJOU AU - Liu, Mao AU - Xiang, Jiawei AU - Gao, Haifeng AU - Jiang, Yongying AU - Zhou, Yuqing AU - Li, Fengping TI - Research on Band Structure of One-dimensional Phononic Crystals Based on Wavelet Finite Element Method T2 - Computer Modeling in Engineering \& Sciences PY - 2014 VL - 97 IS - 5 SN - 1526-1506 AB - 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. KW - Wavelet finite element KW - Band gaps KW - Phononic crystals KW - Dynamic characteristic KW - slender beam DO - 10.3970/cmes.2014.097.425