摘要
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。
For structural damage, the flexibility is more difference matrix in flexibility is presented as a new index sensitive than its frequency or mode. The curvature of nondestructive damage detection, derived from the change in structural flexibilities calculated before damaging and after damaging by means of difference calculation twice, firstly to columns, and then to rows. Therefore a new indicator called 6Flexibility Curvature Matrix Diagonal （6 FCMD） is constructed through principal diagonal elements based on the curvature difference matrix in flexibility. Numerical simulation examples indicate that the damage location and severity in structures, with single damage, multiple ones, lighter ones and ones at the supports, can be detected efficiently for cantilever beams, fixed supported beams, simply supported beams, continuous beams and so on by 6FCMD through only a few of the lower order modes. Compared to the aforementioned flexibility indicators and 6 FCMD, such as the change in flexibility, the rate in flexibility, the curvature change in uniform load surface （ULSC）, the effectiveness and advantage of 8 FCMD, etc are shown.
出处
《工程力学》
EI
CSCD
北大核心
2009年第2期188-195,202,共9页
Engineering Mechanics
基金
国家自然科学基金项目(50678013)
中国博士后科学基金项目(20060390387)
关键词
结构
损伤识别
柔度
曲率
柔度差曲率矩阵
structure
nondestructive damage detection
flexibility
curvature
6 flexibility curvature matrix
