Application of an improved residual force vector method in structural damage identification
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.
residual force vector methoddamage identificationlinear correlationstiffness connectivitymatrixnoise analysis
万方数据
维普
