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Insights into the use of Linear Regression Techniques in Response Reconstruction

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 (ADT). Response Reconstruction is cast as an inverse problem
whereby the desired input is inferred using the measured outputs of a system. ADT typically
involves large shock loadings resulting in a nonlinear response of the structure. A promising
linear regression technique known as Spanning Basis Transformation Regression (SBTR) in con-
junction with non-overlapping windows casts the low dimensional nonlinear problem as a high
dimensional linear problem. However, it is determined that the original implementation of SBTR
struggles to invert a broader class of sensor configurations. A new windowing method called
AntiDiagonal Averaging (ADA) is developed to overcome the shortcomings of the SBTR im-
plementation. 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 is shown to
successfully invert a broader range of sensor configurations as well as being capable of describing
nonlinearities in the system. / Dissertation (MEng)--University of Pretoria, 2021. / Mechanical and Aeronautical Engineering / MEng / Unrestricted

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:up/oai:repository.up.ac.za:2263/78394
Date02 1900
CreatorsCollins, Bradley
ContributorsHeyns, P.S. (Philippus Stephanus), collins.bradley.d@gmail.com, Kok, Schalk
PublisherUniversity of Pretoria
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeDissertation
Rights© 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.

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