Loading…

Forced vibrations of a cantilever beam

The theoretical and experimental solutions for vibrations of a vertical-oriented, prismatic, thin cantilever beam are studied. The beam orientation is 'downwards', i.e. the clamped end is above the free end, and it is subjected to a transverse movement at a selected frequency. Both the beh...

Full description

Saved in:

Bibliographic Details
Published in:	European journal of physics 2012-09, Vol.33 (5), p.1187-1195
Main Authors:	Repetto, C E, Roatta, A, Welti, R J
Format:	Article
Language:	English
Subjects:	Beams (radiation) Cantilever beams Communication, education, history, and philosophy Education Elastic beams Equations (Mathematics) Exact sciences and technology Frequency ranges General physics Geometry Motion Oscillations Physics Physics literature and publications Plastics Polyvinyl chlorides Science Instruction Science Laboratories Scientific Concepts Secondary School Science Surveys and tutorial papers, resource letters Vibration
Citations:	Items that this one cites Items that cite this one
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

cited_by	cdi_FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893
cites	cdi_FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893
container_end_page	1195
container_issue	5
container_start_page	1187
container_title	European journal of physics
container_volume	33
creator	Repetto, C E Roatta, A Welti, R J
description	The theoretical and experimental solutions for vibrations of a vertical-oriented, prismatic, thin cantilever beam are studied. The beam orientation is 'downwards', i.e. the clamped end is above the free end, and it is subjected to a transverse movement at a selected frequency. Both the behaviour of the device driver and the beam's weak-damping resonance response are compared for the case of an elastic beam made from PVC plastic excited over a frequency range from 1 to 30 Hz. The current analysis predicts the presence of 'pseudo-nodes' in the normal modes of oscillation. It is important to note that our results were obtained using very simple equipment, present in the teaching laboratory.
doi_str_mv	10.1088/0143-0807/33/5/1187
format	article
fullrecord	<record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1669876868</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ericid>EJ996091</ericid><sourcerecordid>1669876868</sourcerecordid><originalsourceid>FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893</originalsourceid><addsrcrecordid>eNp9kDtPwzAUhS0EEuXxC2DIAmIJsXNtxx5R1fJQJRaYLduxJVdpXOy2Ev-eRKk6Mt3hfOcenYPQHcHPBAtRYUKhxAI3FUDFKkJEc4ZmBDgpOcX0HM1OxCW6ynmN8cAQOkOPy5isa4tDMEnvQuxzEX2hC6v7XejcwaXCOL25QRded9ndHu81-l4uvuZv5erz9X3-siotNLArjcEGc1FbznjNdG1rJj3HxFPdGs8N1d7VDoNmbU2JNsS5lnnaUgmMSyHhGj1Nf7cp_uxd3qlNyNZ1ne5d3GdF-IA1XHAxoDChNsWck_Nqm8JGp19FsBpXUWNnNXZWAIqpcZXB9XAM0Nnqzifd25BP1poDMAkwcPcT51KwJ3nxISXHkgxyNckhbtU67lM_rPJv8B99G3dj</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1669876868</pqid></control><display><type>article</type><title>Forced vibrations of a cantilever beam</title><source>Institute of Physics</source><source>ERIC</source><creator>Repetto, C E ; Roatta, A ; Welti, R J</creator><creatorcontrib>Repetto, C E ; Roatta, A ; Welti, R J</creatorcontrib><description>The theoretical and experimental solutions for vibrations of a vertical-oriented, prismatic, thin cantilever beam are studied. The beam orientation is 'downwards', i.e. the clamped end is above the free end, and it is subjected to a transverse movement at a selected frequency. Both the behaviour of the device driver and the beam's weak-damping resonance response are compared for the case of an elastic beam made from PVC plastic excited over a frequency range from 1 to 30 Hz. The current analysis predicts the presence of 'pseudo-nodes' in the normal modes of oscillation. It is important to note that our results were obtained using very simple equipment, present in the teaching laboratory.</description><identifier>ISSN: 0143-0807</identifier><identifier>EISSN: 1361-6404</identifier><identifier>DOI: 10.1088/0143-0807/33/5/1187</identifier><identifier>CODEN: EJPHD4</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Beams (radiation) ; Cantilever beams ; Communication, education, history, and philosophy ; Education ; Elastic beams ; Equations (Mathematics) ; Exact sciences and technology ; Frequency ranges ; General physics ; Geometry ; Motion ; Oscillations ; Physics ; Physics literature and publications ; Plastics ; Polyvinyl chlorides ; Science Instruction ; Science Laboratories ; Scientific Concepts ; Secondary School Science ; Surveys and tutorial papers, resource letters ; Vibration</subject><ispartof>European journal of physics, 2012-09, Vol.33 (5), p.1187-1195</ispartof><rights>2012 IOP Publishing Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893</citedby><cites>FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ996091$$DView record in ERIC$$Hfree_for_read</backlink><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26335933$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Repetto, C E</creatorcontrib><creatorcontrib>Roatta, A</creatorcontrib><creatorcontrib>Welti, R J</creatorcontrib><title>Forced vibrations of a cantilever beam</title><title>European journal of physics</title><addtitle>EJP</addtitle><addtitle>Eur. J. Phys</addtitle><description>The theoretical and experimental solutions for vibrations of a vertical-oriented, prismatic, thin cantilever beam are studied. The beam orientation is 'downwards', i.e. the clamped end is above the free end, and it is subjected to a transverse movement at a selected frequency. Both the behaviour of the device driver and the beam's weak-damping resonance response are compared for the case of an elastic beam made from PVC plastic excited over a frequency range from 1 to 30 Hz. The current analysis predicts the presence of 'pseudo-nodes' in the normal modes of oscillation. It is important to note that our results were obtained using very simple equipment, present in the teaching laboratory.</description><subject>Beams (radiation)</subject><subject>Cantilever beams</subject><subject>Communication, education, history, and philosophy</subject><subject>Education</subject><subject>Elastic beams</subject><subject>Equations (Mathematics)</subject><subject>Exact sciences and technology</subject><subject>Frequency ranges</subject><subject>General physics</subject><subject>Geometry</subject><subject>Motion</subject><subject>Oscillations</subject><subject>Physics</subject><subject>Physics literature and publications</subject><subject>Plastics</subject><subject>Polyvinyl chlorides</subject><subject>Science Instruction</subject><subject>Science Laboratories</subject><subject>Scientific Concepts</subject><subject>Secondary School Science</subject><subject>Surveys and tutorial papers, resource letters</subject><subject>Vibration</subject><issn>0143-0807</issn><issn>1361-6404</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>7SW</sourceid><recordid>eNp9kDtPwzAUhS0EEuXxC2DIAmIJsXNtxx5R1fJQJRaYLduxJVdpXOy2Ev-eRKk6Mt3hfOcenYPQHcHPBAtRYUKhxAI3FUDFKkJEc4ZmBDgpOcX0HM1OxCW6ynmN8cAQOkOPy5isa4tDMEnvQuxzEX2hC6v7XejcwaXCOL25QRded9ndHu81-l4uvuZv5erz9X3-siotNLArjcEGc1FbznjNdG1rJj3HxFPdGs8N1d7VDoNmbU2JNsS5lnnaUgmMSyHhGj1Nf7cp_uxd3qlNyNZ1ne5d3GdF-IA1XHAxoDChNsWck_Nqm8JGp19FsBpXUWNnNXZWAIqpcZXB9XAM0Nnqzifd25BP1poDMAkwcPcT51KwJ3nxISXHkgxyNckhbtU67lM_rPJv8B99G3dj</recordid><startdate>20120901</startdate><enddate>20120901</enddate><creator>Repetto, C E</creator><creator>Roatta, A</creator><creator>Welti, R J</creator><general>IOP Publishing</general><general>Institute of Physics Publishing</general><general>Institute of Physics</general><scope>7SW</scope><scope>BJH</scope><scope>BNH</scope><scope>BNI</scope><scope>BNJ</scope><scope>BNO</scope><scope>ERI</scope><scope>PET</scope><scope>REK</scope><scope>WWN</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20120901</creationdate><title>Forced vibrations of a cantilever beam</title><author>Repetto, C E ; Roatta, A ; Welti, R J</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Beams (radiation)</topic><topic>Cantilever beams</topic><topic>Communication, education, history, and philosophy</topic><topic>Education</topic><topic>Elastic beams</topic><topic>Equations (Mathematics)</topic><topic>Exact sciences and technology</topic><topic>Frequency ranges</topic><topic>General physics</topic><topic>Geometry</topic><topic>Motion</topic><topic>Oscillations</topic><topic>Physics</topic><topic>Physics literature and publications</topic><topic>Plastics</topic><topic>Polyvinyl chlorides</topic><topic>Science Instruction</topic><topic>Science Laboratories</topic><topic>Scientific Concepts</topic><topic>Secondary School Science</topic><topic>Surveys and tutorial papers, resource letters</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Repetto, C E</creatorcontrib><creatorcontrib>Roatta, A</creatorcontrib><creatorcontrib>Welti, R J</creatorcontrib><collection>ERIC</collection><collection>ERIC (Ovid)</collection><collection>ERIC</collection><collection>ERIC</collection><collection>ERIC (Legacy Platform)</collection><collection>ERIC( SilverPlatter )</collection><collection>ERIC</collection><collection>ERIC PlusText (Legacy Platform)</collection><collection>Education Resources Information Center (ERIC)</collection><collection>ERIC</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>European journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Repetto, C E</au><au>Roatta, A</au><au>Welti, R J</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ996091</ericid><atitle>Forced vibrations of a cantilever beam</atitle><jtitle>European journal of physics</jtitle><stitle>EJP</stitle><addtitle>Eur. J. Phys</addtitle><date>2012-09-01</date><risdate>2012</risdate><volume>33</volume><issue>5</issue><spage>1187</spage><epage>1195</epage><pages>1187-1195</pages><issn>0143-0807</issn><eissn>1361-6404</eissn><coden>EJPHD4</coden><abstract>The theoretical and experimental solutions for vibrations of a vertical-oriented, prismatic, thin cantilever beam are studied. The beam orientation is 'downwards', i.e. the clamped end is above the free end, and it is subjected to a transverse movement at a selected frequency. Both the behaviour of the device driver and the beam's weak-damping resonance response are compared for the case of an elastic beam made from PVC plastic excited over a frequency range from 1 to 30 Hz. The current analysis predicts the presence of 'pseudo-nodes' in the normal modes of oscillation. It is important to note that our results were obtained using very simple equipment, present in the teaching laboratory.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><doi>10.1088/0143-0807/33/5/1187</doi><tpages>9</tpages></addata></record>
fulltext	fulltext
identifier	ISSN: 0143-0807
ispartof	European journal of physics, 2012-09, Vol.33 (5), p.1187-1195
issn	0143-0807 1361-6404
language	eng
recordid	cdi_proquest_miscellaneous_1669876868
source	Institute of Physics; ERIC
subjects	Beams (radiation) Cantilever beams Communication, education, history, and philosophy Education Elastic beams Equations (Mathematics) Exact sciences and technology Frequency ranges General physics Geometry Motion Oscillations Physics Physics literature and publications Plastics Polyvinyl chlorides Science Instruction Science Laboratories Scientific Concepts Secondary School Science Surveys and tutorial papers, resource letters Vibration
title	Forced vibrations of a cantilever beam
url	http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T20%3A04%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Forced%20vibrations%20of%20a%20cantilever%20beam&rft.jtitle=European%20journal%20of%20physics&rft.au=Repetto,%20C%20E&rft.date=2012-09-01&rft.volume=33&rft.issue=5&rft.spage=1187&rft.epage=1195&rft.pages=1187-1195&rft.issn=0143-0807&rft.eissn=1361-6404&rft.coden=EJPHD4&rft_id=info:doi/10.1088/0143-0807/33/5/1187&rft_dat=%3Cproquest_cross%3E1669876868%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c373t-bb0b0682c65625a2c259f601f4adbf6b4afe2e03a5d241ab1eed5f4d493569893%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1669876868&rft_id=info:pmid/&rft_ericid=EJ996091&rfr_iscdi=true