Broda Dariusz, Mendrok Krzysztof, Silberschmidt Vadim V, Pieczonka Lukasz, Staszewski Wieslaw J
Department of Robotics and Mechatronics, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Kraków, Poland.
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK.
Materials (Basel). 2023 Feb 16;16(4):1653. doi: 10.3390/ma16041653.
The nonlinear interaction of longitudinal vibration and ultrasound in beams with cracks is investigated. The central focus is on the localization effect of this interaction, i.e., the locally enhanced nonlinear vibro-acoustic modulation. Both numerical and experimental investigations are undertaken. The finite element (FE) method is used to investigate different crack models, including the bi-linear crack, open crack, and breathing crack. A parametric study is performed considering different crack depths, locations, and boundary conditions in a two-dimensional beam model. The study shows that observed nonlinearities (i.e., nonlinear crack-wave modulations) are particularly strong in the vicinity of the crack, allowing not only for crack localization but also for the separation of the crack-induced nonlinearity from other sources of nonlinearity.
研究了含裂纹梁中纵向振动与超声的非线性相互作用。重点关注这种相互作用的局部化效应,即局部增强的非线性振动声学调制。进行了数值和实验研究。采用有限元(FE)方法研究了不同的裂纹模型,包括双线性裂纹、开口裂纹和呼吸裂纹。在二维梁模型中,考虑不同的裂纹深度、位置和边界条件进行了参数研究。研究表明,观察到的非线性(即非线性裂纹 - 波调制)在裂纹附近特别强烈,不仅能够实现裂纹定位,还能将裂纹引起的非线性与其他非线性源区分开来。