运用改进残余力向量法的结构损伤识别研究
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    摘要:

    针对结构损伤识别时测试结构模态振型不完备的情况,采用了自由度凝聚方法进行模型 凝聚,并给出了缩聚模型的残余力向量计算公式,证明了残余力向量对结构损伤单元的敏感性 。为减小自由度凝聚及测量等因素带来的误差影响,提出了一种改进的残余力向量法。该方 法首先通过测试损伤结构多阶模态得到残余力向量,并计算相对于损伤前结构的残余力向量 得到残余力向量差矩阵,选取向量差矩阵各行元素中最大绝对值组成改进的残余力向量。损 伤识别时,先运用改进的残余力向量确定可能损伤单元,再运用筛选法计算单元损伤程度。数 值仿真算例说明,采用该方法只需结构的前几阶低阶频率和振型,就可以快速准确地识别出结 构的损伤,显示了该方法具有较好的抗噪性。

    Abstract:

    The method of freedom condensation was adopted to condense the computa tional model when the modal data were insufficient to identify the structural da mages, and a formula was given to calculate the residual force vector of a reduc ed model. It was proved that the residual force vector was sensitive to the dama ged element. An improved residual force vector method was presented to decrease the error influence caused by condensation and measurement. Firstly, the damaged structure was measured to obtain the residual force vector matrix. Then the mat rix was compared with the one of undamaged structure to get the difference matri x. The biggest absolute value in each row of the difference matrix formed the im proved residual force vector. The improved residual force vector was defined to locate the suspected damaged elements preliminarily. Then the damage degree was estimated by the screening method. The numerical simulation shows that only seve ral of the previous natural frequencies and modes are needed to detect the damag e quickly and accurately, and the method has a better antinoise capacity.

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