Scholarlink

Purpose <p>To expand crack identification technology further, a novel identification index is defined using image technology. This index utilizes the geometric characteristics of the phase diagram to quantitatively determine crack parameters.</p> Methods <p>First, the dynamic differential equations of the first three modes of the cantilever beam with a breathing crack are derived based on the relations among the equivalent stiffnesses of the non-destructive beam, closed cracked beam and open cracked beam. Subsequently, the influences of crack parameters on the natural frequencies, frequency responses and phase diagram geometries of the cantilever beam are investigated. Finally, the pixel method is used to estimate the area of phase diagrams, and the influences of crack parameters on defined crack identification indexes obtained from the super-harmonic and primary resonances are analyzed.</p> Results <p>The geometric features of the phase diagram are more sensitive to the variation of crack parameters than the natural frequencies and frequency responses due to the phase diagram simultaneously containing the displacement and velocity information. The results of numerical calculations show that the crack identification method using the contour map of the indexes is feasible.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Crack Identification Method for Cantilever Beam Based on Geometric Feature of Phase Diagram of Multimode Response

  • 期刊论文

  • 发表日期：

    2025年4月21日

查看全文
  • Min Sun,
  • Yahua Huang,
  • Jianen Chen,
  • Tao Li,
  • Tingting Quan

摘要

Purpose

To expand crack identification technology further, a novel identification index is defined using image technology. This index utilizes the geometric characteristics of the phase diagram to quantitatively determine crack parameters.

Methods

First, the dynamic differential equations of the first three modes of the cantilever beam with a breathing crack are derived based on the relations among the equivalent stiffnesses of the non-destructive beam, closed cracked beam and open cracked beam. Subsequently, the influences of crack parameters on the natural frequencies, frequency responses and phase diagram geometries of the cantilever beam are investigated. Finally, the pixel method is used to estimate the area of phase diagrams, and the influences of crack parameters on defined crack identification indexes obtained from the super-harmonic and primary resonances are analyzed.

Results

The geometric features of the phase diagram are more sensitive to the variation of crack parameters than the natural frequencies and frequency responses due to the phase diagram simultaneously containing the displacement and velocity information. The results of numerical calculations show that the crack identification method using the contour map of the indexes is feasible.