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    微裂纹缺陷振动热像检测的数学建模

    Modeling and Analysis of Vibrothermography for the Detection of Microcracks

    • 摘要: 振动热成像无损检测技术作为红外无损检测的一个分支,其在微裂纹检测方面具有独特的优势,但是由于微裂纹生热的过程比较复杂,导致检测过程多凭主观经验,无法针对试件选择合适的检测条件.从建立集中质量的二自由度系统模型出发,针对铝合金结构梁试件上的微裂纹缺陷,对振动热成像无损检测方法进行了数学建模,用等效黏性阻尼的方法等效微裂纹处复杂的生热过程,并用半无限大模型进行了传热计算.结果表明:激振力的频率、振幅、裂纹的位置、材料等因素,都会对梁结构裂纹缺陷的振动热像检测造成影响.给出了具体的影响规律,为检测条件的优化提供了参考.

       

      Abstract: As a branch of infrared nondestructive testing,Vibrothermography(VT) has special advantages in the detection of micro-cracks.But the heat generation process is very complex to describe,as a result of which detection process is rather addicted to subjective experience.This article describes the heat generation of VT by using a two-degree-of-freedom model with concentrated masses.For a micro-crack in aluminum alloy beam,the internal heat source at the crack is described by an equivalent viscous damping,and the heat transfer is considered using a semi-infinite model.The results show that the factors such as frequency and amplitude of exciting force,the location of cracks,materials could influence the heat generation and concrete influence rules are given which provide reference for optimizing the detection condition.

       

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