Understanding Power Spectrum Density Transmissibility

Power spectrum density transmissibility (PSDT) is a type of complex frequency domain function proposed recently. It describes the relation between cross-spectra of system outputs. Since PSDTs with same local-reference degree of freedom (DOF) combination but with different transferring output DOFs cr...

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Main Authors: Yu Zhang, Tong Zhu, Jing Zhou
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/8479721
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author Yu Zhang
Tong Zhu
Jing Zhou
author_facet Yu Zhang
Tong Zhu
Jing Zhou
author_sort Yu Zhang
collection DOAJ
description Power spectrum density transmissibility (PSDT) is a type of complex frequency domain function proposed recently. It describes the relation between cross-spectra of system outputs. Since PSDTs with same local-reference degree of freedom (DOF) combination but with different transferring output DOFs cross each other at the system’s poles under certain load condition, the functions have been used as the primary data in operational modal analysis (OMA) to extract modal parameters, and such technique is named as PSDT-based OMA (PSDTOMA). Because PSDT is a concept that appears recently, researches on which, especially, in-depth discussions aim at the essence and properties of PSDT are very rare. For appropriate application of PSDTOMA, it is necessary to perform further study on such problem obviously. In this paper, two paths to get PSDT, which, respectively, are referred to as PSDT estimator and PSDT syntheticism, are given firstly; some properties about PSDT are explored based on the PSDT syntheticism, and the relation between PSDT and single reference transmissibility function (STF) is analyzed. Finally, the above conclusions are verified with numerical values and experimental data.
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spelling doaj-art-3ee5757d5f6940a08c59049360dc65bd2025-02-03T01:01:46ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/84797218479721Understanding Power Spectrum Density TransmissibilityYu Zhang0Tong Zhu1Jing Zhou2State Key Lab of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Lab of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaState Key Lab of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, ChinaPower spectrum density transmissibility (PSDT) is a type of complex frequency domain function proposed recently. It describes the relation between cross-spectra of system outputs. Since PSDTs with same local-reference degree of freedom (DOF) combination but with different transferring output DOFs cross each other at the system’s poles under certain load condition, the functions have been used as the primary data in operational modal analysis (OMA) to extract modal parameters, and such technique is named as PSDT-based OMA (PSDTOMA). Because PSDT is a concept that appears recently, researches on which, especially, in-depth discussions aim at the essence and properties of PSDT are very rare. For appropriate application of PSDTOMA, it is necessary to perform further study on such problem obviously. In this paper, two paths to get PSDT, which, respectively, are referred to as PSDT estimator and PSDT syntheticism, are given firstly; some properties about PSDT are explored based on the PSDT syntheticism, and the relation between PSDT and single reference transmissibility function (STF) is analyzed. Finally, the above conclusions are verified with numerical values and experimental data.http://dx.doi.org/10.1155/2016/8479721
spellingShingle Yu Zhang
Tong Zhu
Jing Zhou
Understanding Power Spectrum Density Transmissibility
Shock and Vibration
title Understanding Power Spectrum Density Transmissibility
title_full Understanding Power Spectrum Density Transmissibility
title_fullStr Understanding Power Spectrum Density Transmissibility
title_full_unstemmed Understanding Power Spectrum Density Transmissibility
title_short Understanding Power Spectrum Density Transmissibility
title_sort understanding power spectrum density transmissibility
url http://dx.doi.org/10.1155/2016/8479721
work_keys_str_mv AT yuzhang understandingpowerspectrumdensitytransmissibility
AT tongzhu understandingpowerspectrumdensitytransmissibility
AT jingzhou understandingpowerspectrumdensitytransmissibility