E objective function (five). 3.two. Sensitivity Correlation Criterion The residual vector corresponding to
E objective function (five). three.two. Sensitivity Correlation Criterion The residual vector corresponding to each damage-factor variation was calculated employing Equation (17) to form the residual CDNF Proteins Recombinant Proteins amount of damaged substructures. The distinct methods are as follows: 1. 2. The imply value of every single row from the residual matrix 0 was determined, and all elements had been subtracted from their rows mean worth to type matrix 0,m . The covariance matrix (0,m ) T 0,m of 0,m was calculated, and also the eigenvalues of this covariance matrix had been determined and arranged in descending order to kind = ( 1 , 2 , . . . . . . , N ).Appl. Sci. 2021, 11,9 of3.The ratio, p =ij=1 j N 1 j j=, on the initial i substructures eigenvalues to all eigenvalues waspl. Sci. 2021, 11, x FOR PEER REVIEWcalculated. When p reached a specific threshold, it was assumed that the initial i substructures have been damaged although the other parts in the structures had been undamaged.9 ofBy combining the added virtual mass strategy and the IOMP technique, the frequency vector and sensitivity matrix R in the virtual structure may be assembled to ^ boost the volume of modal information for structural damage identification and to enhance four. Numerical Simulation of Basically Supported Beam and Space Truss the accuracy. Additionally, the IOMP technique overcomes the disadvantage of non-sparse to achieve optimization results that four.1. Basically Supported Beam Model satisfy the initial sparsity situations constant with actual engineering.4.1.1. Model and Damage Scenario4. Numerical the shortcomings Supported Beam and Space Truss Due to the fact of Sim.
