摘要针对含截断厚度的声学黑洞（Acoustics Black Hole ，简称ABH）悬臂梁结构，从解析角度，采用随机载荷和四种典型载荷谱，建立了随机激励下声学黑洞梁的数值模型，进行了疲劳可靠性分析。结果表明，特征频率的偏差和位移PSD预测的精度，都处于工程应用可接受误差范围内。ABH区域的振动疲劳寿命变化情况随载荷谱的不同而不同，最安全的点是ABH梁的尖端位置。均匀梁的最小振动寿命明显高于ABH梁。另外，不是截断厚度h_0越大，声学黑洞半径r_ABH越小，ABH梁就越安全，这还与随机振动载荷谱有关，不同类型的载荷谱，对梁振动疲劳寿命变化情况的影响不同。
Abstract：From an analytical perspective, a numerical model of acoustic black hole beams under random excitation was established for the cantilever beam structure of acoustic black holes (ABH) with truncated thickness, using random loads and four typical load spectra. Fatigue reliability analysis was conducted. The results indicate that the deviation of feature frequency and the accuracy of displacement PSD prediction are within the acceptable error range for engineering applications. The variation of vibration fatigue life in the ABH region varies with different load spectra, and the safest point is the tip position of the ABH beam. The minimum vibration life of a uniform beam is significantly higher than that of an ABH beam. In addition, it is not that the larger the truncation thickness h_0, the smaller the acoustic black hole radius r_ABH, and the safer the ABH beam. This is also related to the random vibration load spectrum, and different types of load spectra have different effects on the variation of beam vibration fatigue life.
魏彩凤1，杜伟奇1，邱小彪2. 随机激励下声学黑洞梁疲劳寿命预测[J]. 振动与冲击, 2024, 43(10): 37-43.
WEI Caifeng1，DU Weiqi1，QIU Xiaobiao2. Prediction of the fatigue life of acoustic black hole beams under random excitation. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 37-43.
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