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为了使损伤更加明确显示,在求得结构损伤前后的模态柔度差之后,建立模态柔度差曲率作为二维结构的损伤指标来诊断损伤。考虑多种损伤情况,对二维结构进行了数值模拟,并用不同类型的指标进行了诊断。对比结果表明,该文指标与模态柔度曲率差指标所得结果基本上是相同的,且该文方法计算工作量要小。为了弥补利用模态柔度曲率差指标在诊断三维结构多处损伤时存在指标遗漏的现象,建立了模态柔度差曲率和作为三维结构损伤指标。三维桁架桥与板结构的算例表明,模态柔度差曲率和指标在三维结构的损伤诊断中比模态柔度差曲率指标效果好。综上所述,对于二维结构而言,损伤诊断指标为模态柔度差曲率;对于三维结构而言,损伤诊断指标为模态柔度差曲率和。
In order to make the damage more clearly, after obtaining the difference of modal flexibility before and after structural damage, the modal curvature of curvature is established as the damage index of two-dimensional structure to diagnose the damage. Considering a variety of damage conditions, two-dimensional structures were numerically simulated and diagnosed with different types of indicators. The comparison results show that the results obtained from the difference between the index and the modal curvature index are basically the same, and the computational workload of this method is small. In order to make up for the omission of the index when diagnosing the damage of three-dimensional structure by modal curvature difference index, the modal curvature of curvature and the damage index of three-dimensional structure are established. The results of three-dimensional truss bridge and slab structure show that the modal curvature and curvature index are better than the modal curvature index in damage diagnosis of three-dimensional structure. To sum up, for the two-dimensional structure, the damage diagnosis index is the modal curvature difference curvature; for the three-dimensional structure, the damage diagnosis index is the modal curvature difference curvature sum.