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
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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APA Style
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. Computer Modeling in Engineering & Sciences, 97(5), 425-436. https://doi.org/10.3970/cmes.2014.097.425
Vancouver Style
Liu M, Xiang J, Gao H, Jiang Y, Zhou Y, Li F. Research on band structure of one-dimensional phononic crystals based on wavelet finite element method. Comput Model Eng Sci. 2014;97(5):425-436 https://doi.org/10.3970/cmes.2014.097.425
IEEE Style
M. Liu, J. Xiang, H. Gao, Y. Jiang, Y. Zhou, and F. Li "Research on Band Structure of One-dimensional Phononic Crystals Based on Wavelet Finite Element Method," Comput. Model. Eng. Sci., vol. 97, no. 5, pp. 425-436. 2014. https://doi.org/10.3970/cmes.2014.097.425