Application of anti-diagonal averaging in response reconstruction

Show simple item record

dc.contributor.author Collins, Bradley Dean
dc.contributor.author Heyns, Stephan
dc.contributor.author Kok, Schalk
dc.contributor.author Wilke, Daniel Nicolas
dc.date.accessioned 2022-09-21T06:16:51Z
dc.date.available 2022-09-21T06:16:51Z
dc.date.issued 2021-06-28
dc.description.abstract Response reconstruction is used to obtain accurate replication of vehicle structural responses of field recorded measurements in a laboratory environment, a crucial step in the process of Accelerated Destructive Testing (ADA). Response Reconstruction is cast as an inverse problem whereby an input signal is inferred to generate the desired outputs of a system. By casting the problem as an inverse problem we veer away from the familiarity of symmetry in physical systems since multiple inputs may generate the same output. We differ in our approach from standard force reconstruction problems in that the optimisation goal is the recreated output of the system. This alleviates the need for highly accurate inputs. We focus on offline non-causal linear regression methods to obtain input signals. A new windowing method called AntiDiagonal Averaging (ADA) is proposed to improve the regression techniques’ performance. ADA introduces overlaps within the predicted time signal windows and averages them. The newly proposed method is tested on a numerical quarter car model and shown to accurately reproduce the system’s outputs, which outperform related Finite Impulse Response (FIR) methods. In the nonlinear configuration of the numerical quarter car, ADA achieved a recreated output Mean Fit Function Error (MFFE) score of 0.40% compared to the next best performing FIR method, which generated a score of 4.89%. Similar performance was shown for the linear case. en_US
dc.description.department Mechanical and Aeronautical Engineering en_US
dc.description.librarian dm2022 en_US
dc.description.uri https://www.mdpi.com/journal/symmetry en_US
dc.identifier.citation Collins, B.D.; Heyns, S.; Kok, S.; Wilke, D.N. Application of Anti-Diagonal Averaging in Response Reconstruction. Symmetry 2021, 13, 1165. https://doi.org/10.3390/sym13071165. en_US
dc.identifier.issn 2073-8994 (online)
dc.identifier.other 10.3390/sym13071165
dc.identifier.uri https://repository.up.ac.za/handle/2263/87245
dc.language.iso en en_US
dc.publisher MDPI en_US
dc.rights © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution. en_US
dc.subject Linear regression en_US
dc.subject Response reconstruction en_US
dc.subject Finite impulse response en_US
dc.subject Singular spectrum analysis en_US
dc.subject Accelerated destructive testing en_US
dc.title Application of anti-diagonal averaging in response reconstruction en_US
dc.type Article en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record