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| Damage identification of cracked simply supported beam based on uniform load surface curvature |
| Received:July 01, 2018 Revised:December 26, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180701002 |
| KeyWord:damage degree uniform load surface curvature cracked beam lumped flexibility torsion spring |
| Author | Institution |
| 唐盛华 |
湘潭大学 土木工程与力学学院 工程结构动力学与可靠性分析湖南省高等学校重点实验室, 湘潭 |
| 苏彬建 |
湘潭大学 土木工程与力学学院 工程结构动力学与可靠性分析湖南省高等学校重点实验室, 湘潭 |
| 方志 |
湖南大学 土木工程学院, 长沙 |
| 张学兵 |
湘潭大学 土木工程与力学学院 工程结构动力学与可靠性分析湖南省高等学校重点实验室, 湘潭 |
| 周楠 |
湘潭大学 土木工程与力学学院 工程结构动力学与可靠性分析湖南省高等学校重点实验室, 湘潭 |
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| Abstract: |
| In order to locate and quantify a structural crack by using modal parameters,the vibration differential equation of motion of a cracked simply supported beam was established based on the lumped flexibility model.Massless torsional springs were used to simulate the cracks.Given that the existing flexibility curvature index can only determine the approximate range of cracks,based on the linear interpolation theory,the relationship between the crack location and the change in uniform load surface curvature was established to realize the precise location of the crack.In view of the fact that most of the existing damage identification methods can not realize the damage quantification of cracks,based on the relationship between displacement curvature and structural stiffness and bending moment,a damage quantification method of structural stiffness of uniform load surface curvature was derived.In order to quantify the crack depth,the series equivalent linear stiffness model was proposed for the first time based on the spring series principle and the linear stiffness idea.It could be used to establish the relationship between the crack depth and the change in the uniform load surface curvature.Through the numerical example of a cracked simply supported beam with considering the damage of multiple cracks,the validity of the new method in crack location and quantification is verified. |
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