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THEORETICAL STUDY AND EXPERIMENTAL VERIFICATION OF THE EFFECTS OF A VERTICAL FLAW ON THE VIBRATION MODES OF A BEAM

机译:垂直缺陷对梁振动模式的理论研究和实验验证

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This presentation summarises the results of a study on the effects of a transversal open crack on the normal bending modes of vibration of a solid beam. The study considers the cases of a beam in flexural vibration on simple supports, but the study can be generalised to more general boundary conditions, and to case of the beam in longitudinal vibration. The theoretical part of this study focuses on the effects of the crack depth on the resonance frequencies of the beam where the region near the crack with a lower stiffness is modelled as spring (longitudinal or torsional in the respective cases of axial or bending vibrations). The problem is solved relatively easily through considering the coupling of the two beam parts separated by the crack, and suitably modelling the crack as a spring. The numerical results show a tendency of the eigenresonances to diminish in value with crack severity, for both cases of axial and flexural vibrations. A simple experimental set-up is then mounted with a wooden bar as a test specimen, and the experimental results support the theoretical prediction to a crack depth of about half the transversal dimension of the beam. For deeper cracks coupling problems between the beam components appear making it thus difficult to determine properly the resonance frequencies of the flawed beam. A non theoretically supported study of the damping properties of the beam reveal also an alteration, namely an increase, of the loss factor of the beam as a function of the crack depth.
机译:该介绍总结了关于横向开口裂缝对固体梁振动正常弯曲模式的影响的研究结果。该研究考虑了在简单的支撑件上弯曲振动中的梁的情况,但是该研究可以广泛地推广到更一般的边界条件,以及纵向振动的梁的情况。本研究的理论部分侧重于裂纹深度对梁的谐振频率的影响,其中裂缝与较低刚度的裂缝附近的区域被建模为弹簧(轴向或弯曲振动的各个情况下的纵向或扭转)。通过考虑由裂缝分开的两个光束部件的耦合,并且适当地将裂缝建模为弹簧,相对容易地解决了问题。对于轴向和弯曲振动的两种情况,数值结果表明了特征义的趋势以裂缝严重程度减小。然后将一个简单的实验装置安装有木杆作为试样,实验结果支持理论上的预测到梁的横向尺寸的大约一半的裂缝深度。对于较深的裂缝,梁组件之间的耦合问题出现,因此难以确定缺陷光束的谐振频率。作为裂纹深度的函数,对光束的阻尼特性的非理论支持的研究也揭示了梁的损耗因子的变化。

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