Abstract：The vibration characteristics of beams with diagonal crack were analyzed using the Chebyshev-Ritz method based on the elastic mechanics plane stress theory in this paper.The beam with diagonal crack was divided into three subdomains at first, and then the trapezoidal subdomain was transformed into a rectangular subdomain by coordinate transformation, and the vibration characteristic equations of each subdomain were established, respectively, and the vibration characteristic equation of the whole beam was obtained according to the displacement continuity at the interface junction of each subdomain, and the solution with high convergence was obtained by using the Chebyshev-Ritz method.The accuracy of the theoretical method was verified by comparing with the finite element results and literature experimental and theoretical results.The influence of the inclined angle and position of the diagonal crack on the vibration characteristics of the structure was studied by the way of parametric analysis.Results show that the increase of the inclined angle of the diagonal crack will lead to a larger natural frequency of the beam and a more obvious change of the vibration mode, and the influence on the vibration mode is greater when the diagonal crack locates in the middle of the span.
霍瑞丽1，王坤1，张姗2. 斜裂缝梁的振动特性分析[J]. 振动与冲击, 2023, 42(24): 212-220.
HUO Ruili1,WANG Kun1,ZHANG Shan2. Analysis of vibration characteristics of beam with diagonal cracks. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(24): 212-220.
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