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柔度是较频率和位移模态更敏感的结构损伤标示量。提出利用结构损伤前、后的柔度矩阵,先后对柔度矩阵差的列、行进行两次差分,求得柔度差曲率矩阵(δFlexibility Curvature Matrix),并以其对角元素作为检测结构损伤指标(δFCMD)的新方法。该方法仅需低阶模态参数即可进行损伤检测,不论对简支梁、悬臂梁、固支梁,或多跨连续梁,单一位置损伤、支撑处损伤、轻微损伤,还是多种损伤共存,均具有损伤定位的能力、并能定性反映损伤程度。通过与已有的柔度差、柔度变化率、均匀荷载面曲率差等柔度指标的数值模拟分析研究,显示了该指标检测损伤的有效性和优越性。
Flexibility is more indicative of structural damage than frequency and displacement modalities. In this paper, the flexibility matrix before and after structural damage is proposed, and then the differential quadratic differences between the columns and rows of the flexibility matrix are calculated to obtain the δFlexibility Curvature Matrix. The diagonal elements are used to detect structural damage Indicator (δFCMD) of the new method. This method can detect damage only with low-order modal parameters, and it can coexist with many kinds of damage, such as simply supported beam, cantilever beam, fixed beam or multi-span continuous beam, single position damage, , All with the ability to locate the damage, and can qualitatively reflect the degree of injury. Through the numerical simulation analysis with the existing flexibility, flexibility rate, uniform curvature of the load surface and other softness index, the effectiveness and superiority of this index in detecting damage are shown.