A beam structure damage detection method using only static response
Received:September 29, 2021  Revised:November 16, 2021
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DOI:10.7511/jslx20210929001
KeyWord:static response  damage identification  reciprocal variable  non-negative least squares
        
AuthorInstitution
汤彭恩布 广东工业大学 机电工程学院, 广州
吴柏生 广东工业大学 机电工程学院, 广州
钟慧湘 广东工业大学 机电工程学院, 广州
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Abstract:
      In this paper,a damage identification method for a beam structure using only its static response is proposed.This method introduces reciprocal variables.The Taylor expansion of the displacement after adopting the reciprocal variables only contains the linear term of the reciprocal increments.We construct a damage solution model based on reciprocal variables,and then apply the non-negative least-squares method to obtain the damage parameters,which can determine the location and extent of the damage at the same time.Compared with the method that does not involve the reciprocal variables,the damage parameters obtained by this method are closer to the real damage situation.This paper also discusses the effects of noise.A three-span continuous beam structure is modelled and analyzed by numerical simulation.The results show that the proposed method can effectively identify the damage of the beam structure.