Shih-Chun Liao¹, I-Ling Chang^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.31, No.2, pp. 1-1, 2024, DOI:10.32604/icces.2024.012885

Abstract In this work, a new deep learning (DL) approach for the bandgap optimization of 1-D phononic crystal will be reported. The unit cell of the phononic crystal is composed of 4 layers with 3 materials, i.e., concrete, soil and rubber. A deep learning model is trained to replace the computationally demanding traditional solvers for the bandgap calculation of 1-D phononic crystals. Four variables, including material properties and layer thicknesses, will be taken into account. The predicted bandgap by the trained model is compared with that calculated by transfer matrix in order to check the accuracy More >

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

CMES-Computer Modeling in Engineering & Sciences, Vol.97, No.5, pp. 425-436, 2014, DOI: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. More >

A.L. Chen, Y.S. Wang¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.5, No.4, pp. 239-244, 2008, DOI:10.3970/icces.2008.005.239

Abstract Band gaps and localization phenomenon for both in-plane and anti-plane elastic waves propagating in 2D ordered and disordered phononic crystals are studied in this paper. The localization of wave propagation due to random disorder is discussed by introducing the concept of the localization factor which is calculated by the plane-wave-based transfer-matrix method. More >

Zhi-Zhong Yan^1,2, Yue-Sheng Wang^1,3, Chuanzeng Zhang²

CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.1, pp. 59-88, 2008, DOI:10.3970/cmes.2008.038.059

Abstract In this paper, a numerical method based on the wavelet theory is developed for calculating band structures of 2D phononic crystals consisting of general anisotropic materials. After systematical consideration of the appropriate choice of wavelets, two types of wavelets, the Haar wavelet and Biorthogonal wavelet, are selected. Combined with the supercell technique, the developed method can be then applied to compute the band structures of phononic crystals with point or line defects. We illustrate the advantages of the method both mathematically and numerically. Particularly some representative numerical examples are presented for various material combinations (solid-solid, More >