Bi-regularization enhanced azimuthal mode analysis method for the aero-engine fan

Azimuthal mode analysis is regarded as an effective tool for aero-engine flow field investigation, where numerous microphones are evenly mounted as a ring to provide sufficient spatial resolution for azimuthal pressure acquisition. The current compressive sampling method enables azimuthal modes to b...

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Veröffentlicht in:Mechanical systems and signal processing 2022-05, Vol.171, p.108921, Article 108921
Hauptverfasser: Li, Zepeng, Qiao, Baijie, Wen, Bi, Liu, Junjiang, Chen, Xuefeng
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creator Li, Zepeng
Qiao, Baijie
Wen, Bi
Liu, Junjiang
Chen, Xuefeng
description Azimuthal mode analysis is regarded as an effective tool for aero-engine flow field investigation, where numerous microphones are evenly mounted as a ring to provide sufficient spatial resolution for azimuthal pressure acquisition. The current compressive sampling method enables azimuthal modes to be obtained from much fewer microphones, with dominant and non-dominant modes separately estimated by L1-norm regularization and spatial Fourier transform or least square method. Despite the effort of measurement system simplification, this classical compressive sampling method regularized by L1-norm inherently introduces accuracy loss in amplitude estimation for both dominant and non-dominant modes. With the aim of accuracy promotion and further measurement reduction, the Bi-regularization enhanced azimuthal mode analysis (BRAMA) method is devised to investigate the azimuthal modes of the aero-engine fan via limited acoustic measurements. The BRAMA method substitutes L1-norm regularization with Lp-norm (0
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The current compressive sampling method enables azimuthal modes to be obtained from much fewer microphones, with dominant and non-dominant modes separately estimated by L1-norm regularization and spatial Fourier transform or least square method. Despite the effort of measurement system simplification, this classical compressive sampling method regularized by L1-norm inherently introduces accuracy loss in amplitude estimation for both dominant and non-dominant modes. With the aim of accuracy promotion and further measurement reduction, the Bi-regularization enhanced azimuthal mode analysis (BRAMA) method is devised to investigate the azimuthal modes of the aero-engine fan via limited acoustic measurements. The BRAMA method substitutes L1-norm regularization with Lp-norm (0&lt;p&lt;1) regularization to reach more accurate reconstruction of dominant modes. Meanwhile, the Tikhonov regularization based on L2-norm is introduced to estimate non-dominant modes. The effectiveness of the BRAMA method is verified in two cases, by operating a 2.5-stage aero-engine fan test rig at 50% and 90% of the nominal speed, respectively. Firstly, acoustic pressure signals are pre-processed to extract the dominant tonal component, which are used as the input of dominant mode estimation. Next, comparative realizations by L1-norm and Lp-norm are conducted to detect the dominant modes, meanwhile the amplitude accuracy with respect to p value and measurement number is discussed in both cases. Finally, non-dominant modes are estimated by using Tikhonov regularization in comparison to the classical approaches. Experimental results of both cases indicate that the BRAMA method outperforms the classical compressive sampling approach in accuracy improving, measurements reducing and interference proof capability. •The Lp-norm (0&lt;p&lt;1) regularization is introduced estimate the dominant modes.•The Tikhonov regularization is utilized to estimate the non-dominant modes.•Necessary preprocessing based on cyclostationary theory is conducted to extract the tonal component from the acoustic series.•The effectiveness of the proposed BRAMA method is verified on a 2.5-stage aero-engine acoustic testing system, with the rotor operating at various speeds.•Results demonstrate that BRAMA method outperforms the classical methods in accuracy improvement.</description><identifier>ISSN: 0888-3270</identifier><identifier>EISSN: 1096-1216</identifier><identifier>DOI: 10.1016/j.ymssp.2022.108921</identifier><language>eng</language><publisher>Berlin: Elsevier Ltd</publisher><subject>Accuracy ; Acoustic measurement ; Aerospace engines ; Amplitudes ; Azimuthal mode analysis ; Compressive sampling ; Field investigations ; Fourier transforms ; Lp-norm ; Microphones ; Regularization ; Sampling methods ; Signal processing ; Spatial resolution ; Tikhonov regularization</subject><ispartof>Mechanical systems and signal processing, 2022-05, Vol.171, p.108921, Article 108921</ispartof><rights>2022 Elsevier Ltd</rights><rights>Copyright Elsevier BV May 15, 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c331t-32d10b146d07f8f0965105eff12e6286d83c4f430cf20ea218a1950dabc919ca3</citedby><cites>FETCH-LOGICAL-c331t-32d10b146d07f8f0965105eff12e6286d83c4f430cf20ea218a1950dabc919ca3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ymssp.2022.108921$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>315,781,785,3551,27928,27929,45999</link.rule.ids></links><search><creatorcontrib>Li, Zepeng</creatorcontrib><creatorcontrib>Qiao, Baijie</creatorcontrib><creatorcontrib>Wen, Bi</creatorcontrib><creatorcontrib>Liu, Junjiang</creatorcontrib><creatorcontrib>Chen, Xuefeng</creatorcontrib><title>Bi-regularization enhanced azimuthal mode analysis method for the aero-engine fan</title><title>Mechanical systems and signal processing</title><description>Azimuthal mode analysis is regarded as an effective tool for aero-engine flow field investigation, where numerous microphones are evenly mounted as a ring to provide sufficient spatial resolution for azimuthal pressure acquisition. The current compressive sampling method enables azimuthal modes to be obtained from much fewer microphones, with dominant and non-dominant modes separately estimated by L1-norm regularization and spatial Fourier transform or least square method. Despite the effort of measurement system simplification, this classical compressive sampling method regularized by L1-norm inherently introduces accuracy loss in amplitude estimation for both dominant and non-dominant modes. With the aim of accuracy promotion and further measurement reduction, the Bi-regularization enhanced azimuthal mode analysis (BRAMA) method is devised to investigate the azimuthal modes of the aero-engine fan via limited acoustic measurements. The BRAMA method substitutes L1-norm regularization with Lp-norm (0&lt;p&lt;1) regularization to reach more accurate reconstruction of dominant modes. Meanwhile, the Tikhonov regularization based on L2-norm is introduced to estimate non-dominant modes. The effectiveness of the BRAMA method is verified in two cases, by operating a 2.5-stage aero-engine fan test rig at 50% and 90% of the nominal speed, respectively. Firstly, acoustic pressure signals are pre-processed to extract the dominant tonal component, which are used as the input of dominant mode estimation. Next, comparative realizations by L1-norm and Lp-norm are conducted to detect the dominant modes, meanwhile the amplitude accuracy with respect to p value and measurement number is discussed in both cases. Finally, non-dominant modes are estimated by using Tikhonov regularization in comparison to the classical approaches. Experimental results of both cases indicate that the BRAMA method outperforms the classical compressive sampling approach in accuracy improving, measurements reducing and interference proof capability. •The Lp-norm (0&lt;p&lt;1) regularization is introduced estimate the dominant modes.•The Tikhonov regularization is utilized to estimate the non-dominant modes.•Necessary preprocessing based on cyclostationary theory is conducted to extract the tonal component from the acoustic series.•The effectiveness of the proposed BRAMA method is verified on a 2.5-stage aero-engine acoustic testing system, with the rotor operating at various speeds.•Results demonstrate that BRAMA method outperforms the classical methods in accuracy improvement.</description><subject>Accuracy</subject><subject>Acoustic measurement</subject><subject>Aerospace engines</subject><subject>Amplitudes</subject><subject>Azimuthal mode analysis</subject><subject>Compressive sampling</subject><subject>Field investigations</subject><subject>Fourier transforms</subject><subject>Lp-norm</subject><subject>Microphones</subject><subject>Regularization</subject><subject>Sampling methods</subject><subject>Signal processing</subject><subject>Spatial resolution</subject><subject>Tikhonov regularization</subject><issn>0888-3270</issn><issn>1096-1216</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLw0AUhQdRsFZ_gZuA69R7J48mCxdafEFBBF0P08mdZkKSqTOJ0P56p8a1qwuHcw7nfoxdIywQML9tFvvO-92CA-dBKUqOJ2yGUOYxcsxP2QyKoogTvoRzduF9AwBlCvmMvT-Y2NF2bKUzBzkY20fU17JXVEXyYLpxqGUbdbaiSPay3Xvjo46G2laRti4a6qCTszH1W9NTpGV_yc60bD1d_d05-3x6_Fi9xOu359fV_TpWSYJD2FIhbDDNK1jqQoepGUJGWiOnnBd5VSQq1WkCSnMgybGQWGZQyY0qsVQymbObqXfn7NdIfhCNHV3Y6AXPs-BHDmlwJZNLOeu9Iy12znTS7QWCOLITjfhlJ47sxMQupO6mFIUHvg054ZWhIxTjSA2isubf_A81c3i_</recordid><startdate>20220515</startdate><enddate>20220515</enddate><creator>Li, Zepeng</creator><creator>Qiao, Baijie</creator><creator>Wen, Bi</creator><creator>Liu, Junjiang</creator><creator>Chen, Xuefeng</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20220515</creationdate><title>Bi-regularization enhanced azimuthal mode analysis method for the aero-engine fan</title><author>Li, Zepeng ; Qiao, Baijie ; Wen, Bi ; Liu, Junjiang ; Chen, Xuefeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-32d10b146d07f8f0965105eff12e6286d83c4f430cf20ea218a1950dabc919ca3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Accuracy</topic><topic>Acoustic measurement</topic><topic>Aerospace engines</topic><topic>Amplitudes</topic><topic>Azimuthal mode analysis</topic><topic>Compressive sampling</topic><topic>Field investigations</topic><topic>Fourier transforms</topic><topic>Lp-norm</topic><topic>Microphones</topic><topic>Regularization</topic><topic>Sampling methods</topic><topic>Signal processing</topic><topic>Spatial resolution</topic><topic>Tikhonov regularization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Zepeng</creatorcontrib><creatorcontrib>Qiao, Baijie</creatorcontrib><creatorcontrib>Wen, Bi</creatorcontrib><creatorcontrib>Liu, Junjiang</creatorcontrib><creatorcontrib>Chen, Xuefeng</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Mechanical systems and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Zepeng</au><au>Qiao, Baijie</au><au>Wen, Bi</au><au>Liu, Junjiang</au><au>Chen, Xuefeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bi-regularization enhanced azimuthal mode analysis method for the aero-engine fan</atitle><jtitle>Mechanical systems and signal processing</jtitle><date>2022-05-15</date><risdate>2022</risdate><volume>171</volume><spage>108921</spage><pages>108921-</pages><artnum>108921</artnum><issn>0888-3270</issn><eissn>1096-1216</eissn><abstract>Azimuthal mode analysis is regarded as an effective tool for aero-engine flow field investigation, where numerous microphones are evenly mounted as a ring to provide sufficient spatial resolution for azimuthal pressure acquisition. The current compressive sampling method enables azimuthal modes to be obtained from much fewer microphones, with dominant and non-dominant modes separately estimated by L1-norm regularization and spatial Fourier transform or least square method. Despite the effort of measurement system simplification, this classical compressive sampling method regularized by L1-norm inherently introduces accuracy loss in amplitude estimation for both dominant and non-dominant modes. With the aim of accuracy promotion and further measurement reduction, the Bi-regularization enhanced azimuthal mode analysis (BRAMA) method is devised to investigate the azimuthal modes of the aero-engine fan via limited acoustic measurements. The BRAMA method substitutes L1-norm regularization with Lp-norm (0&lt;p&lt;1) regularization to reach more accurate reconstruction of dominant modes. Meanwhile, the Tikhonov regularization based on L2-norm is introduced to estimate non-dominant modes. The effectiveness of the BRAMA method is verified in two cases, by operating a 2.5-stage aero-engine fan test rig at 50% and 90% of the nominal speed, respectively. Firstly, acoustic pressure signals are pre-processed to extract the dominant tonal component, which are used as the input of dominant mode estimation. Next, comparative realizations by L1-norm and Lp-norm are conducted to detect the dominant modes, meanwhile the amplitude accuracy with respect to p value and measurement number is discussed in both cases. Finally, non-dominant modes are estimated by using Tikhonov regularization in comparison to the classical approaches. Experimental results of both cases indicate that the BRAMA method outperforms the classical compressive sampling approach in accuracy improving, measurements reducing and interference proof capability. •The Lp-norm (0&lt;p&lt;1) regularization is introduced estimate the dominant modes.•The Tikhonov regularization is utilized to estimate the non-dominant modes.•Necessary preprocessing based on cyclostationary theory is conducted to extract the tonal component from the acoustic series.•The effectiveness of the proposed BRAMA method is verified on a 2.5-stage aero-engine acoustic testing system, with the rotor operating at various speeds.•Results demonstrate that BRAMA method outperforms the classical methods in accuracy improvement.</abstract><cop>Berlin</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ymssp.2022.108921</doi></addata></record>
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subjects Accuracy
Acoustic measurement
Aerospace engines
Amplitudes
Azimuthal mode analysis
Compressive sampling
Field investigations
Fourier transforms
Lp-norm
Microphones
Regularization
Sampling methods
Signal processing
Spatial resolution
Tikhonov regularization
title Bi-regularization enhanced azimuthal mode analysis method for the aero-engine fan
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