The IDM was found to be a very efficient and accurate alternative to existing methods for calculating structural response senĭe Sá Rodrigues F, Giannakeas IN, Sharif Khodaei Z,Īliabadi FMH et al., 2023, Probability based damage detection on a composite fuselage panel based on large data set of guided wave signals, NDT and E International, Vol: 139, ISSN: 0963-8695 To demonstrate how the IDM could be used in practice, it was employed as gradient-based optimisation procedure featuring shallow-shell structures. It is found that uncertainties in curvature, thickness, and applied pressure distribution parameters have the largest impact on structural reliability. An analysis of sensitivity is conducted to identify the most significant variables affecting reliability. The results of the reliability index obtained from the IDM-FORM are compared to the results obtained from FDM-FORM and were found to be very similar. The uncertainty in curvature is set as a variable for the purpose of investigating its impact on reliability. A numerical example featuring a circular shallow shell is used to demonstrate the application of the IDM-based FORM for assessing structural reliability. This is further compounded by the fact that, unlike the FDM, the IDM does not require a step size. The IDM was also found to be significantly more efficient than the FDM, requiring 35% less CPU time when calculating sensitivities. The IDM was later validated against the Finite Difference Method (FDM), with results showing a maximum difference of only 0.11%. The accuracy of the IDM formulation is first validated against an analytical solution, with results showing a maximum difference of only 2.61%. The IDM is employed in conjunction with the First Order Reliability Method (FORM) to evaluate the reliability of shallow shell structures. The implicit derivatives of the BEM formulations for shallow shell structures, with respect to the geometrical variables, such as curvature and thickness, have been derived for the first time and incorporated into an Implicit Differentiation Method (IDM). The authors are grateful for the opportunity to address and rectify this matter through this corrigendum.Īliabadi MH et al., 2023, Implicit differentiation-based reliability analysis for shallow shell structures with the Boundary Element Method, Engineering Analysis with Boundary Elements, Vol: 156, Pages: 223-238, ISSN: 0955-7997Ī novel methodology for evaluating the response sensitivities of shallow shell structures using the Boundary Element Method (BEM) is presented in this work. The authors express sincere apologies for any inconvenience this oversight may have caused to the readers, reviewers, and the journal's editorial board. The corrected versions of the equations are provided below: Where the term Cκ1,ρ = B. The incorrect equations were solely an outcome of the transcribed process, and the authors sincerely regret any confusion this may have caused to the readership. The authors would like to emphasize that this error does not impact the validity of the results, or the conclusions drawn in the original paper. This led to incorrect representation of the equations in the published version. The authors regret that a written incorrectness was identified in Equation (8) and (9) on page (226), the authors identified an error that originated during the typesetting process. Aliabadi MH et al., 2023, Corrigendum to “Implicit Differentiation-Based Reliability Analysis for Shallow Shell Structures with the Boundary Element Method”, Engineering Analysis with Boundary Elements, Vol: 157, ISSN: 0955-7997
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