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首页> 外文期刊>Science in China >Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals
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Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals

机译：基于小波的一维声子晶体弹性带隙计算

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A wavelet-based method was developed to compute elastic band gaps of one-dimensional phononic crystals. The wave field was expanded in the wavelet basis and an equivalent eigenvalue problem was derived in a matrix form involving the adaptive computation of integrals of the wavelets. The method was then applied to a binary system. For comparison, the elastic band gaps of the same one-dimensional phononic crystals computed with the wavelet method and the well-known plane wave expansion (PWE) method are both presented in this paper. The numerical results of the two methods are in good agreement while the computation costs of the wavelet method are much lower than that of PWE method. In addition, the adaptability of wavelets makes the method possible for efficient band gap computation of more complex phononic structures.
机译：开发了一种基于小波的方法来计算一维声子晶体的弹性带隙。在小波基础上扩展了波场，并以矩阵形式导出了等效特征值问题，涉及自适应计算小波积分。然后将该方法应用于二进制系统。为了进行比较，本文介绍了用小波方法和众所周知的平面波扩展（PWE）方法计算的相同一维声子晶体的弹性带隙。两种方法的数值结果吻合良好，而小波方法的计算成本远低于PWE方法。此外，小波的适应性使该方法可用于更复杂的声子结构的有效带隙计算。

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