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Fault Diagnosis of Cantilever Beam Using Finite Element Analysis: A Case Study

机译:悬臂梁故障诊断的有限元分析

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摘要

Damage prediction in mechanical and structural systems is establishing a prominent role in modern engineering. Vibration based damage methods give ample flexibility to understand the extent of expected damages in the system. Measurement of vibration characteristics like natural frequencies and mode shapes, Fourier responses and transient responses can help in comprehending the present status of a system either by comparing with their baseline equivalents or by formulating residual functions and minimizing them. The minimization of residues is carried out using non-conventional optimization techniques like genetic algorithms. Genetic algorithms being a meta-heuristic method obtain global minimum values with implicitly defined constraints and objective. In all the residual functions considered in this paper, it is assumed that only the stiffness parameters are reduced individually in each element due to the damage. The amount of reduction in each element is an unknown parameter. The approach is attempted with a structural member like beam. Experimental analysis is carried out to test the natural frequencies and mode shapes of the damaged beams from finite element model considered. A cantilever beam with central slot of desired depth is selected and impact hammer analysis is performed to know the variation in modes when compared to undamaged counter part. Results are presented in the form of table and graphs.
机译:机械和结构系统中的损伤预测在现代工程中正在发挥重要作用。基于振动的损坏方法具有足够的灵活性,可以了解系统中预期的损坏程度。振动特性的测量(例如固有频率和模式形状,傅立叶响应和瞬态响应)可以通过与基线等效值进行比较或通过公式化残差函数并将其最小化来帮助理解系统的当前状态。使用非常规优化技术(例如遗传算法)进行残基的最小化。作为元启发式方法的遗传算法获得具有隐式定义的约束和目标的全局最小值。在本文考虑的所有残差函数中,都假定由于损坏,每个元素中仅刚度参数会单独降低。每个元素的减少量是未知参数。尝试使用类似梁的结构构件。进行了实验分析,从所考虑的有限元模型中测试了受损光束的固有频率和振型。选择具有所需深度的中心槽的悬臂梁,并进行冲击锤分析,以了解与未损坏的对应零件相比时模式的变化。结果以表格和图表的形式呈现。

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