Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes

With highly complex structures, it is sometimes desirable to derive a dynamic model of the system from experimental vibration data. This paper presents algorithms for synthesizing the mass and stiffness matrices from experimentally derived modal data in a way which preserves the physical significanc...

Full description

Saved in:
Bibliographic Details
Published in:SAE transactions 1971-01, Vol.80, p.2627-2635
Main Author: Ross, Ronald G.
Format: Article
Language:English
Subjects:
Average linear density
Coordinate systems
Eigenvalues
Eigenvectors
Energy
Mass
Matrices
Modal response
Stiffness
Stiffness matrix
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 2635
container_issue
container_start_page 2627
container_title SAE transactions
container_volume 80
creator Ross, Ronald G.
description With highly complex structures, it is sometimes desirable to derive a dynamic model of the system from experimental vibration data. This paper presents algorithms for synthesizing the mass and stiffness matrices from experimentally derived modal data in a way which preserves the physical significance of the individual mass and stiffness elements. The synthesizing procedures allow for the incorporation of other mass and stiffness data, whether empirical or based on the analyst's insight. The mass and stiffness matrices are derived for a cantilever beam example and are compared with those obtained using earlier techniques.
format article
fullrecord <record><control><sourceid>jstor</sourceid><recordid>TN_cdi_jstor_primary_44650348</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>44650348</jstor_id><sourcerecordid>44650348</sourcerecordid><originalsourceid>FETCH-jstor_primary_446503483</originalsourceid><addsrcrecordid>eNqFi08LgjAcQEcUZH8-QvD7AsJ0ztU5jAg8GdJNVm400U322yG_fR66d3oPHm9BopQLESecJUsSUXrKY8Hyx5psEDtKWcJFGpFbNdnwVmgQnIYqGK2tQgRpWyjlLKUM3rwUgvZugOIzKm8GZYPsoTZPL4NxFkrXKtyRlZY9qv2PW3K4FPfzNe4wON-M8yf91GRZzinLjuxf_wL6Yjn0</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes</title><source>JSTOR Archival Journals and Primary Sources Collection</source><creator>Ross, Ronald G.</creator><creatorcontrib>Ross, Ronald G.</creatorcontrib><description>With highly complex structures, it is sometimes desirable to derive a dynamic model of the system from experimental vibration data. This paper presents algorithms for synthesizing the mass and stiffness matrices from experimentally derived modal data in a way which preserves the physical significance of the individual mass and stiffness elements. The synthesizing procedures allow for the incorporation of other mass and stiffness data, whether empirical or based on the analyst's insight. The mass and stiffness matrices are derived for a cantilever beam example and are compared with those obtained using earlier techniques.</description><identifier>ISSN: 0096-736X</identifier><identifier>EISSN: 2577-1531</identifier><language>eng</language><publisher>Society of Automotive Engineers, Inc</publisher><subject>Average linear density ; Coordinate systems ; Eigenvalues ; Eigenvectors ; Energy ; Mass ; Matrices ; Modal response ; Stiffness ; Stiffness matrix</subject><ispartof>SAE transactions, 1971-01, Vol.80, p.2627-2635</ispartof><rights>Society of Automotive Engineers, Inc. 1972</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/44650348$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/44650348$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,776,780,58213,58446</link.rule.ids></links><search><creatorcontrib>Ross, Ronald G.</creatorcontrib><title>Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes</title><title>SAE transactions</title><description>With highly complex structures, it is sometimes desirable to derive a dynamic model of the system from experimental vibration data. This paper presents algorithms for synthesizing the mass and stiffness matrices from experimentally derived modal data in a way which preserves the physical significance of the individual mass and stiffness elements. The synthesizing procedures allow for the incorporation of other mass and stiffness data, whether empirical or based on the analyst's insight. The mass and stiffness matrices are derived for a cantilever beam example and are compared with those obtained using earlier techniques.</description><subject>Average linear density</subject><subject>Coordinate systems</subject><subject>Eigenvalues</subject><subject>Eigenvectors</subject><subject>Energy</subject><subject>Mass</subject><subject>Matrices</subject><subject>Modal response</subject><subject>Stiffness</subject><subject>Stiffness matrix</subject><issn>0096-736X</issn><issn>2577-1531</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1971</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNqFi08LgjAcQEcUZH8-QvD7AsJ0ztU5jAg8GdJNVm400U322yG_fR66d3oPHm9BopQLESecJUsSUXrKY8Hyx5psEDtKWcJFGpFbNdnwVmgQnIYqGK2tQgRpWyjlLKUM3rwUgvZugOIzKm8GZYPsoTZPL4NxFkrXKtyRlZY9qv2PW3K4FPfzNe4wON-M8yf91GRZzinLjuxf_wL6Yjn0</recordid><startdate>19710101</startdate><enddate>19710101</enddate><creator>Ross, Ronald G.</creator><general>Society of Automotive Engineers, Inc</general><scope/></search><sort><creationdate>19710101</creationdate><title>Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes</title><author>Ross, Ronald G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-jstor_primary_446503483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1971</creationdate><topic>Average linear density</topic><topic>Coordinate systems</topic><topic>Eigenvalues</topic><topic>Eigenvectors</topic><topic>Energy</topic><topic>Mass</topic><topic>Matrices</topic><topic>Modal response</topic><topic>Stiffness</topic><topic>Stiffness matrix</topic><toplevel>online_resources</toplevel><creatorcontrib>Ross, Ronald G.</creatorcontrib><jtitle>SAE transactions</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ross, Ronald G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes</atitle><jtitle>SAE transactions</jtitle><date>1971-01-01</date><risdate>1971</risdate><volume>80</volume><spage>2627</spage><epage>2635</epage><pages>2627-2635</pages><issn>0096-736X</issn><eissn>2577-1531</eissn><abstract>With highly complex structures, it is sometimes desirable to derive a dynamic model of the system from experimental vibration data. This paper presents algorithms for synthesizing the mass and stiffness matrices from experimentally derived modal data in a way which preserves the physical significance of the individual mass and stiffness elements. The synthesizing procedures allow for the incorporation of other mass and stiffness data, whether empirical or based on the analyst's insight. The mass and stiffness matrices are derived for a cantilever beam example and are compared with those obtained using earlier techniques.</abstract><pub>Society of Automotive Engineers, Inc</pub></addata></record>
fulltext fulltext
identifier ISSN: 0096-736X
ispartof SAE transactions, 1971-01, Vol.80, p.2627-2635
issn 0096-736X
2577-1531
language eng
recordid cdi_jstor_primary_44650348
source JSTOR Archival Journals and Primary Sources Collection
subjects Average linear density
Coordinate systems
Eigenvalues
Eigenvectors
Energy
Mass
Matrices
Modal response
Stiffness
Stiffness matrix
title Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T05%3A17%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Synthesis%20of%20Stiffness%20and%20Mass%20Matrices%20from%20Experimental%20Vibration%20Modes&rft.jtitle=SAE%20transactions&rft.au=Ross,%20Ronald%20G.&rft.date=1971-01-01&rft.volume=80&rft.spage=2627&rft.epage=2635&rft.pages=2627-2635&rft.issn=0096-736X&rft.eissn=2577-1531&rft_id=info:doi/&rft_dat=%3Cjstor%3E44650348%3C/jstor%3E%3Cgrp_id%3Ecdi_FETCH-jstor_primary_446503483%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_jstor_id=44650348&rfr_iscdi=true