Dynamic Analysis of Elastic Plates with Circular Holes

The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size...

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Hauptverfasser: Hegarty,R. F, Ariman,T
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Ariman,T
description The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author) Report on 'Deep Ocean Engineering.'
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F ; Ariman,T ; NOTRE DAME UNIV IND COLL OF ENGINEERING</creatorcontrib><description>The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author) Report on 'Deep Ocean Engineering.'</description><language>eng</language><subject>BENDING ; BOUNDARY VALUE PROBLEMS ; CIRCULAR HOLES ; DYNAMIC STRUCTURAL ANALYSIS ; FATIGUE(MECHANICS) ; HULLS(MARINE) ; LEAST SQUARES METHOD ; LOADS(FORCES) ; Marine Engineering ; Mechanics ; METAL PLATES ; PLATES(STRUCTURAL MEMBERS) ; POISSON RATIO ; RECTANGULAR BODIES ; RESONANT FREQUENCY ; STRESSES ; VIBRATION</subject><creationdate>1973</creationdate><rights>APPROVED FOR PUBLIC RELEASE</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,776,881,27544,27545</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/AD0765361$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Hegarty,R. F</creatorcontrib><creatorcontrib>Ariman,T</creatorcontrib><creatorcontrib>NOTRE DAME UNIV IND COLL OF ENGINEERING</creatorcontrib><title>Dynamic Analysis of Elastic Plates with Circular Holes</title><description>The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. 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F</creator><creator>Ariman,T</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>197308</creationdate><title>Dynamic Analysis of Elastic Plates with Circular Holes</title><author>Hegarty,R. F ; Ariman,T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_AD07653613</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1973</creationdate><topic>BENDING</topic><topic>BOUNDARY VALUE PROBLEMS</topic><topic>CIRCULAR HOLES</topic><topic>DYNAMIC STRUCTURAL ANALYSIS</topic><topic>FATIGUE(MECHANICS)</topic><topic>HULLS(MARINE)</topic><topic>LEAST SQUARES METHOD</topic><topic>LOADS(FORCES)</topic><topic>Marine Engineering</topic><topic>Mechanics</topic><topic>METAL PLATES</topic><topic>PLATES(STRUCTURAL MEMBERS)</topic><topic>POISSON RATIO</topic><topic>RECTANGULAR BODIES</topic><topic>RESONANT FREQUENCY</topic><topic>STRESSES</topic><topic>VIBRATION</topic><toplevel>online_resources</toplevel><creatorcontrib>Hegarty,R. F</creatorcontrib><creatorcontrib>Ariman,T</creatorcontrib><creatorcontrib>NOTRE DAME UNIV IND COLL OF ENGINEERING</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hegarty,R. F</au><au>Ariman,T</au><aucorp>NOTRE DAME UNIV IND COLL OF ENGINEERING</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>Dynamic Analysis of Elastic Plates with Circular Holes</btitle><date>1973-08</date><risdate>1973</risdate><abstract>The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author) Report on 'Deep Ocean Engineering.'</abstract><oa>free_for_read</oa></addata></record>
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source DTIC Technical Reports
subjects BENDING
BOUNDARY VALUE PROBLEMS
CIRCULAR HOLES
DYNAMIC STRUCTURAL ANALYSIS
FATIGUE(MECHANICS)
HULLS(MARINE)
LEAST SQUARES METHOD
LOADS(FORCES)
Marine Engineering
Mechanics
METAL PLATES
PLATES(STRUCTURAL MEMBERS)
POISSON RATIO
RECTANGULAR BODIES
RESONANT FREQUENCY
STRESSES
VIBRATION
title Dynamic Analysis of Elastic Plates with Circular Holes
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