Prediction of the fatigue life of acoustic black hole plates under random excitation

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (6) : 58-65.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Prediction of the fatigue life of acoustic black hole plates under random excitation

XIANG Zijian1，DU Weiqi*1，QIU Xiaobiao2，CHEN Shilei3

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Abstract

The acoustic black hole (ABH) effect has been shown to be a potential method for vibration control and energy harvesting. However, it faces structural strength problems due to its small localized thickness. In this paper, for the acoustic black hole plate structure, an analytical model for vibration fatigue life prediction of acoustic black hole plate under random excitation is developed by using analytical method. Based on the assumed vibration mode method, the stress frequency response function of the acoustic black hole plate is derived, and the random vibration displacement power spectral density function of the structure is obtained based on the consideration of random excitation. The P-S-N curve of the material AL6061 was also estimated based on the genetic algorithm. In addition, the correctness of the model and its prediction results were verified by using COMSOL and MATLAB software, and it was found that the intrinsic frequency deviation of the two was only 0.11%, and the accuracy of the displacement PSD was in good agreement. The fatigue life analysis shows that the smaller the truncated thickness h_0 and the larger the black hole radius〖 r〗_abh, the better the ABH effect but also the smaller the life.

Key words

Acoustic black hole plate / random excitation / P-S-N curve / fatigue life prediction

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XIANG Zijian1, DU Weiqi1, QIU Xiaobiao2, CHEN Shilei3. Prediction of the fatigue life of acoustic black hole plates under random excitation[J]. Journal of Vibration and Shock, 2025, 44(6): 58-65

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