曲面灰色关联性在桥梁静载损伤定位中的应用

Application of Curved Surface Grey Relation Theory to the Static Displacement Damage Detection

基于灰色理论的关联性分析方法,首次提出两空间曲面相关性概念和灰色高斯曲率关联系数,并将其应用到基于桥梁静载试验的损伤定位中,提出对局部损伤非常敏感的静态位移高斯曲率置信因子,通过该因子对各测点的损伤进行精确判断;并将其运用在五跨连续刚构桥的损伤定位上,从定位的结果可以看出,定位的精度可以由测点布置精度来控制,还可以进行单损伤和多损伤的定位,因此该方法在桥梁损伤定位中具有较广阔的应用前景.

A new actual bridge damage detection method using static displacement of limited tests based on the grey correlation theory is first proposed in this paper. The grey correlation of curved surface and static displacement Gauss curvature assurance coefficient is defined and used to locate damage in the actual bridge firstly. A numerical example of a five-span continuous rigid-frame bridge with multiple damages is used to examine the capability of the proposed method to locate damages. The numerical results show that the damage in the actual bridge can be located correctly through static displacement Gauss curvature assurance co- efficient and the accuracy of damage detection can be controlled by the accuracy of displacement measuring point. The proposed method requires only limited static test data,which is easily available in practice, and has wide application in actual bridge damage detection.