基于曲率模态查的四边简支薄板的损伤检测

何钦象;杨智春;姜峰;田小红

振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 112-115.

PDF(1040 KB)
PDF(1040 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 112-115.
论文

基于曲率模态查的四边简支薄板的损伤检测

  • 何钦象1;杨智春1;姜峰2;田小红2
作者信息 +

Damage detection for an elastic thin plate based on Gauss curvature modal difference

  • HE Qin xiang1; YANG Zhi chun1; JIANG Feng2; TIAN Xiao hong2
Author information +
文章历史 +

摘要

本文采用结构损伤前后振动的曲率模态差来检测薄板结构的损伤,引入微分几何理论中曲面上一点的高斯曲率概念,通过该点上两个主曲率求其高斯曲率,同时用中心差分求解薄板结构损伤前后的曲率模态值,利用其差值确定薄板的损伤位置,进而确定损伤程度。数值仿真的损伤检测算例表明,曲率模态检测方法的损伤识别精度令人满意。

Abstract

The frasbility of damage detection for plate structures using curvature modal difference was explored.The concept of Gauss curvature in differential geometry was introduced to calculate the cyrvature modes from the defection modes of a plate. A simply supported rectangular p;ate was adopted in the verification of the proposed damage detection method. In the simulation if damage detection, the curvature moal differences between an intact plate and a danaged plate were calculated, and the location of damage could be identified from the variation of the curvature modal differences.Furthermore, an index was also preposed to evaluate damage levely using curvature modal differences yogether with natural frequencies of the damaged platr and the intactine. Nymerical simulations for the detection of damage location of damage location and damage level were performed and the resulats showed that the presented method is feasible and effective for damage derection of plate-like structures.

关键词

损伤检测 / 弹性薄板 / 曲率模态 / 高斯曲率

Key words

Key word: damage detection / elastic thin plate / curvature mode / Gauss curvature

引用本文

导出引用
何钦象;杨智春;姜峰;田小红. 基于曲率模态查的四边简支薄板的损伤检测[J]. 振动与冲击, 2010, 29(7): 112-115
HE Qin xiang;YANG Zhi chun;JIANG Feng;TIAN Xiao hong. Damage detection for an elastic thin plate based on Gauss curvature modal difference[J]. Journal of Vibration and Shock, 2010, 29(7): 112-115

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