研究目的
To estimate the transfer function of periodic structures for band gap analysis using modal identification and curve fitting from experimental frequency response functions, addressing inaccuracies in modeling irregular or complicated cells.
研究成果
The transfer matrix method based on experimental FRFs is reliable and valid for band gap analysis, with simulations and experiments showing good agreement. Key findings include the independence of band gap from cell distribution, the impact of damping on band gap depth, and the existence of invariable frequencies in finite periodic structures. Future work could explore applications to more complex structures and improved damping models.
研究不足
The method is primarily applied to one-dimensional periodic structures; extension to higher dimensions may require additional considerations. Damping effects, while discussed, could introduce errors if not accurately modeled. The approach relies on experimental data quality, which may be affected by measurement noise and environmental factors.
1：Experimental Design and Method Selection:
The study uses modal analysis and the Vector Fitting (VF) algorithm for parameter identification from experimental frequency response functions (FRFs) to construct a transfer matrix for band gap analysis in one-dimensional periodic structures.
2：Sample Selection and Data Sources:
A periodic structure composed of identical cells is designed, with experimental FRFs measured using the m + p SO Analyzer system.
3：List of Experimental Equipment and Materials:
Includes a data acquisition device (m + p SO Analyzer), excitation source (Gaussian white noise), and a cell made of 304 stainless steel with specific geometry.
4：Experimental Procedures and Operational Workflow:
Modal tests are conducted to measure FRFs (H11, H13, H33) with sampling at 2048 Hz and excitation from 5 Hz to 1000 Hz. Curve fitting using VF is applied to identify modal parameters and reconstruct FRFs.
5：Data Analysis Methods:
The transfer matrix is derived from reconstructed FRFs, and propagation constants (attenuation and phase) are calculated to determine band gaps. Simulations in MATLAB are used for validation.
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