<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE rdf:RDF[
	<!ENTITY rdf 'http://www.w3.org/1999/02/22-rdf-syntax-ns#'>
	<!ENTITY rdfs 'http://www.w3.org/2000/01/rdf-schema#'>
	<!ENTITY owl 'http://www.w3.org/2002/07/owl#'>
	<!ENTITY swivt 'http://semantic-mediawiki.org/swivt/1.0#'>
	<!ENTITY wiki 'http://murray.cds.caltech.edu/Special:URIResolver/'>
	<!ENTITY category 'http://murray.cds.caltech.edu/Special:URIResolver/Category-3A'>
	<!ENTITY property 'http://murray.cds.caltech.edu/Special:URIResolver/Property-3A'>
	<!ENTITY wikiurl 'https://murray.cds.caltech.edu/'>
]>

<rdf:RDF
	xmlns:rdf="&rdf;"
	xmlns:rdfs="&rdfs;"
	xmlns:owl ="&owl;"
	xmlns:swivt="&swivt;"
	xmlns:wiki="&wiki;"
	xmlns:category="&category;"
	xmlns:property="&property;">

	<owl:Ontology rdf:about="https://murray.cds.caltech.edu/Special:ExportRDF/Variational_Principles_in_Constrained_Systems-3A_Theory_and_Experiments">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-06-28T17:56:21+00:00</swivt:creationDate>
		<owl:imports rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:Ontology>
	<swivt:Subject rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Variational_Principles_in_Constrained_Systems-3A_Theory_and_Experiments">
		<rdf:type rdf:resource="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers"/>
		<rdfs:label>Variational Principles in Constrained Systems: Theory and Experiments</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Variational_Principles_in_Constrained_Systems-3A_Theory_and_Experiments"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Variational_Principles_in_Constrained_Systems-3A_Theory_and_Experiments"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Abstract rdf:datatype="http://www.w3.org/2001/XMLSchema#string">In this paper we present two methods, the nonholonomic method and the vakonomic
method, for deriving equations of motion for a mechanical system with constraints. The
resulting equations are compared. Results are also presented from an experiment for a
model system: a ball rolling without sliding on a rotating table. Both sets of equations
of motion for the model system are compared with the experimental results. The effects of
various forms of friction are considered in the nonholonomic equations. With appropriate
friction terms, the nonholonomic equations of motion for the model system give reasonable
agreement with the experimental observations.</property:Abstract>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Andrew D. Lewis and Richard M. Murray</property:Authors>
		<property:Flags rdf:datatype="http://www.w3.org/2001/XMLSchema#string">NoRequest</property:Flags>
		<property:ID rdf:datatype="http://www.w3.org/2001/XMLSchema#string">1994o</property:ID>
		<property:Source rdf:datatype="http://www.w3.org/2001/XMLSchema#string">&lt;i&gt;International Journal of Nonlinear Mechanics&lt;/i&gt;, 30(6): 793-815, 1995&lt;br&gt;
CDS Technical Report 94-016</property:Source>
		<property:Tag rdf:datatype="http://www.w3.org/2001/XMLSchema#string">lm94-cds</property:Tag>
		<property:Title rdf:resource="&wiki;Variational_Principles_in_Constrained_Systems-3A_Theory_and_Experiments"/>
		<property:Type rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Technical
Report</property:Type>
		<swivt:wikiPageModificationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-05-15T06:20:42Z</swivt:wikiPageModificationDate>
		<property:Modification_date-23aux rdf:datatype="http://www.w3.org/2001/XMLSchema#double">2457523.764375</property:Modification_date-23aux>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Variational Principles in Constrained Systems: Theory and Experiments</swivt:wikiPageSortKey>
		<property:URL rdf:resource="http://www.cds.caltech.edu/~murray/preprints/cds94-016.pdf"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ATitle">
		<rdfs:label>Title</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Property-3ATitle"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Property-3ATitle"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">102</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Title</swivt:wikiPageSortKey>
		<swivt:type rdf:resource="http://semantic-mediawiki.org/swivt/1.0#_wpg"/>
	</owl:ObjectProperty>
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#creationDate" />
	<owl:Class rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#page" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiNamespace" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageContentLanguage" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AAbstract" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AAuthors" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AFlags" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AID" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ASource" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ATag" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AType" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageModificationDate" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AModification_date-23aux" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageSortKey" />
	<owl:ObjectProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AURL" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#type" />
	<!-- Created by Semantic MediaWiki, https://www.semantic-mediawiki.org/ -->
</rdf:RDF>