Application of an improved residual force vector method in structural damage identification
Received:September 05, 2022  Revised:November 29, 2022
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DOI:10.7511/jslx20220905003
KeyWord:residual force vector method  damage identification  linear correlation  stiffness connectivity  matrix  noise analysis
        
AuthorInstitution
康哲民 漳州职业技术学院 建筑工程学院, 漳州 ;丘陵山地智慧城镇建设技术福建省高校武夷学院
雷能忠 武夷学院 土木工程与建筑学院, 武夷山 ;丘陵山地智慧城镇建设技术福建省高校武夷学院
祖庆芝 漳州职业技术学院 建筑工程学院, 漳州
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Abstract:
      Residual force vector method is a commonly used method in structural damage identification.Considering that a complex structure has many elements and few damage locations,it is easy to define too many unwanted variables,which leads to the problem of excessive computation.Therefore,this study presents an improved residual force vector method for structural damage identification.The method utilizes the linear correlation between the stiffness connection vector and the residual force vector.It uses the vector projection value as the influence coefficient of damage location.The suspect elements of possible structural damage are first located.In addition,a set of linear equations about residual force vector is constructed.According to the condition that the order principal form is not zero,this study conducts an elementary row transformation on the linear equations.According to the number of elements,the method can retain n-dimensional linear equations.From the algebraic solution of the equations,this study has obtained the stiffness and damage parameters of the structural elements are obtained.A simply-supported beam is simulated numerically.The results show that the proposed method can not only reduce the calculation of unrelated element variables,and the dimension of the residual force vector but also have better anti-noise ability.