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| Influence of mode shape normalization on flexibility curvature damage index of beam structure |
| Received:June 18, 2019 Revised:August 12, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20190618002 |
| KeyWord:damage identification mode shape normalization flexibility matrix curvature norm |
| 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 |
| 罗承芳 |
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 |
| 楚加庆 |
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: |
| The structural flexibility matrix needs to be calculated from the mass normalized mode shapes,but these mode shapes are difficult to measure directly,which limits the application of flexibility curvature damage index.In order to analyze the influence of mode shape normalization method on flexibility curvature damage index of beam structures,according to the relationship between stiffness,bending moment and displacement curvature of beam structures,the theoretical relationship expression of displacement curvature and damage severity before and after structural damage under uniform load was established.The structural damage severity was quantified by the uniform load surface curvature (ULSC).The P-norm mode shape normalization method was proposed.The relationship between the coefficient difference xα of mass-normalized normalized mode shapes and the damage severity was derived from the ULSC index.The theory was verified in the simulation example of a three-span continuous beam.The results show that the quantitative index of damage degree is effective.Under different P-norm mode shape normalization methods,the damage severity deviation can be estimated by 2xα.The damage identification result of 2-norm mode shape normalization method is the closest to the mass normalized mode shapes are normalization result.Therefore,when the mass matrix normalized mode shape is not available,2-norm normalized mode shapes can be used instead. |
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