Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases

Force identification using inverse technique is important especially when direct measurement through force transducer is not possible. Considering the effects of impact excitation force on the integrity of a lightweight structure, impact force identification has become the subject of several studies...

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Main Authors: Abdul Ghaffar, Abdul Rahman, Khoo, Shin Yee, Z., Ismail, Kong, K. K., Ong, Zhi Chao, Noroozi, Siamak, Chong, W. T.
Format: Article
Language:English
English
Published: Elsevier 2014
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/5737/1/fkm-2014-rahman-Impact_force_identification_abs_only.pdf
http://umpir.ump.edu.my/id/eprint/5737/4/Impact%20Force%20Identification%20With%20Pseudo-Inverse%20Method%20on%20a%20Lightweight%20Structure%20for%20Under-Determined%2C%20Even-Determined%20and%20Over-Determined%20Cases.pdf
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author Abdul Ghaffar, Abdul Rahman
Khoo, Shin Yee
Z., Ismail
Kong, K. K.
Ong, Zhi Chao
Noroozi, Siamak
Chong, W. T.
author_facet Abdul Ghaffar, Abdul Rahman
Khoo, Shin Yee
Z., Ismail
Kong, K. K.
Ong, Zhi Chao
Noroozi, Siamak
Chong, W. T.
author_sort Abdul Ghaffar, Abdul Rahman
collection UMP
description Force identification using inverse technique is important especially when direct measurement through force transducer is not possible. Considering the effects of impact excitation force on the integrity of a lightweight structure, impact force identification has become the subject of several studies. A methodology utilising Operating Deflection Shape (ODS) analysis, Frequency Response Function (FRF) measurement and pseudo-inverse method to evaluate the dynamic force is presented. A rectangular plate with four ground supports was used as a test rig to simulate the motions of a simple vehicle body. By using the measured responses at remote points that are away from impact locations and measured FRFs of the test rig, unknown force locations and their time histories can be recovered by the proposed method. The performance of this approach in various cases such as under-determined, even-determined and over-determined cases was experimentally demonstrated. Good and bad combinations of response locations were selected based on the condition number of FRF matrix. This force identification method was examined under different response combinations and various numbers of response locations. It shows that in the over-determined case, good combination of response locations (i.e. low average of condition number of FRF matrix) and high number of response locations give the best accuracy of force identification result compared to under-determined and even-determined cases.
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spelling UMPir57372016-01-08T01:31:33Z http://umpir.ump.edu.my/id/eprint/5737/ Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases Abdul Ghaffar, Abdul Rahman Khoo, Shin Yee Z., Ismail Kong, K. K. Ong, Zhi Chao Noroozi, Siamak Chong, W. T. TJ Mechanical engineering and machinery Force identification using inverse technique is important especially when direct measurement through force transducer is not possible. Considering the effects of impact excitation force on the integrity of a lightweight structure, impact force identification has become the subject of several studies. A methodology utilising Operating Deflection Shape (ODS) analysis, Frequency Response Function (FRF) measurement and pseudo-inverse method to evaluate the dynamic force is presented. A rectangular plate with four ground supports was used as a test rig to simulate the motions of a simple vehicle body. By using the measured responses at remote points that are away from impact locations and measured FRFs of the test rig, unknown force locations and their time histories can be recovered by the proposed method. The performance of this approach in various cases such as under-determined, even-determined and over-determined cases was experimentally demonstrated. Good and bad combinations of response locations were selected based on the condition number of FRF matrix. This force identification method was examined under different response combinations and various numbers of response locations. It shows that in the over-determined case, good combination of response locations (i.e. low average of condition number of FRF matrix) and high number of response locations give the best accuracy of force identification result compared to under-determined and even-determined cases. Elsevier 2014-01 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/5737/1/fkm-2014-rahman-Impact_force_identification_abs_only.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/5737/4/Impact%20Force%20Identification%20With%20Pseudo-Inverse%20Method%20on%20a%20Lightweight%20Structure%20for%20Under-Determined%2C%20Even-Determined%20and%20Over-Determined%20Cases.pdf Abdul Ghaffar, Abdul Rahman and Khoo, Shin Yee and Z., Ismail and Kong, K. K. and Ong, Zhi Chao and Noroozi, Siamak and Chong, W. T. (2014) Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases. International Journal of Impact Engineering, 63. pp. 52-62. ISSN 0734-743X. (Published) http://dx.doi.org/10.1016/j.ijimpeng.2013.08.005 DOI:10.1016/j.ijimpeng.2013.08.005
spellingShingle TJ Mechanical engineering and machinery
Abdul Ghaffar, Abdul Rahman
Khoo, Shin Yee
Z., Ismail
Kong, K. K.
Ong, Zhi Chao
Noroozi, Siamak
Chong, W. T.
Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title_full Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title_fullStr Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title_full_unstemmed Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title_short Impact Force Identification With Pseudo-Inverse Method on a Lightweight Structure for Under-Determined, Even-Determined and Over-Determined Cases
title_sort impact force identification with pseudo inverse method on a lightweight structure for under determined even determined and over determined cases
topic TJ Mechanical engineering and machinery
url http://umpir.ump.edu.my/id/eprint/5737/1/fkm-2014-rahman-Impact_force_identification_abs_only.pdf
http://umpir.ump.edu.my/id/eprint/5737/4/Impact%20Force%20Identification%20With%20Pseudo-Inverse%20Method%20on%20a%20Lightweight%20Structure%20for%20Under-Determined%2C%20Even-Determined%20and%20Over-Determined%20Cases.pdf
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