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外文翻译--采矿作业的机械化及自动化采石挖掘机工作装置的模型 英文版.pdf

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外文翻译--采矿作业的机械化及自动化采石挖掘机工作装置的模型 英文版.pdf

MECHANIZATIONANDAUTOMATIONOFMININGOPERATIONSAMODELOFTHEWORKINGOPERATIONSOFAQUARRYEXCAVATOREVGAISLER,APMATTIS,EAMOCHALOV,ANDSVSHISHAEVWEDEVELOPAMETHEMATICALMODELOFTHEPROCESSOFOPENPITMININGWITHAQUARRYEXCAVATORUSINGABUCKETTHATHASACTIVEBLADESDRIVENBYIMPACTBLOCKSINSTALLEDINTHEFRONTWALLTHEBUCKETOPERATESASFOLLOWSWHENTHEBUCKETCOMESINCONTACTWITHAROCKAREATHATCANBEBROKENBYAFORCEGREATERTHANTHESUMOFTHEFORCESOFFRICTIONOFTHETOOLONTHESLEEVEANDTHEFORCEOFACTIVATIONOFTHESTARTINGDEVICE,THEIMPACTBLOCKSAREENERGIZEDTHEACTIONOFTHESEBLOCKSCAUSESTHEBUCKETBLADESTOENTERTHEROCKTOADEPTHX,WEAKENINGTHEZONELOCATEDDIRECTLYUNDERTHEBLADESANDFORMINGTHESOCALLEDDISRUPTEDBONDINGZONE\I\THISZONEREQUIRESMUCHLESSFORCETOBEBROKENTHANANINTACTMASSWITHSUCHACTIVEBUCKETS,STRONGROCKSCANBEEXCAVATEDWITHOUTPRELOOSENINGTHEMAINPARAMETERSDESCRIBINGTHEMOVEMENTSOFTHEBUCKETDURINGEXCAVATIONINCLUDETHEMECHANICALPROPERTIESOFTHEROCK,THEVARIATIONOFTHESEPROPERTIESUNDERTHEEFFECTOFTHEIMPACT,THEWORKINGCHARACTERISTICSOFTHEDRIVESOFTHEACTUATORMECHANISMS,ANDTHEPARAMETERSOFTHEEQUIPMENTTWOTYPESOFDESTRUCTIONTAKEPLACEDURINGTHECOURSEOFEXCAVATIONCUTTINGANDIMPACTBREAKINGTHEGEOMETRICSUMOFFORCESACTINGONALLTHEFACESOFABLADEREPRESENTSTHERESISTANCETOINTRUSIONTHEPROJECTIONOFTHISSUMONTOTHEAXISOFTHEIMPACTBLOCKISPL;THEPROJECTIONONTOTHEDIRECTIONPERPENDICULARTOTHEAXISISP2THESUMOFFORCESACTINGPERPENDICULARLYTOTHEBUCKETTRAVELINGPLANEISEQUALTOZEROBECAUSEBLOCKFRACTURINGISMAINLYPERFORMEDTHEFOLLOWINGASSUMPTIONSAREMADEFORAMATHEMATICALMODELDESCRIBINGTHEMOTIONSOFTHEBUCKETTHECENTEROFMASSOFTHEROCKINTHEBUCKETISSTATIONARYRELATIVETOTHEBUCKET;CHIPSARESEPARATEDCONTINUOUSLY;THELOADSONTHEBUCKETBLADESAREEQUAL;THEBLADESPENETRATETHEROCKINSTANTANEOUSLYUPONIMPACT;THERESISTANCETOTHEBUCKETFILLINGISDISREGARDED;THEMOMENTOFFRICTIONRELATIVETOTHEROTATIONAXISOFTHEARMISDISREGARDEDWITHTHESEASSUMPTIONS,THEMOTIONOFTHEBUCKETCANBEINTERPRETEDASTHEMOTIONOFATWODIMENSIONALMECHANISMUNDERTHEEFFECTOFEXTERNALFORCES,WHICHINCLUDESTHEFORCEDEVELOPEDBYTHEDRIVESOFTHEPRESSUREMECHANISMANDTHELIFTMECHANISM,THEGRAVITYFORCE,ANDTHERESISTANCEFORCEOFTHEROCKFACETHEPOSITIONOFTHEBUCKETATEACHPOINTINTIMEISDEFINEDBYTHECOORDINATERT,THEDISTANCEOC,ANDTTHEANGLEBETWEENTHEBOOMANDTHEBUCKETSTICKTHEKINETICENERGYOFTHISMECHANISMISEXPRESSEDASM,JT1WHEREM1ISTHEROCKMASSANDTHEBUCKET;M2ISTHEMASSOFTHESTICKANDTHEEMPTYBUCKET;JISTHEMOMENTOFINERTIAOFTHEBUCKETWITHROCKANDTHESTICKRELATIVETOITSROTATIONAXISINSTITUTEOFMINING,SIBERIANBRANCH,ACADEMYOFSCIENCESOFTHEUSSR,NOVOSIBIRSKTRANSLATEDFROMFIZIKOTEKHNICHESKIEPROBLEMYRAZRABOTKIPOEZNYKHISKOPAEMYKH,NO2,PP6067,MARCHAPRIL,1991ORIGINALARTICLESUBMITTEDSEPTEMBER25,199000385581/91/270201315125091992PLENUMPUBLISHINGCORPORATION131YMLRLCBIIJMIRRL2IGA\,2WHEREJ1ISTHEMOMENTOFINERTIAOFANEMPTYBUCKETANDTHESTICKRELATIVETOTHECENTEROFMASSANDRRLISTHECOORDINATEOFTHECENTEROFMASSOFTHEEMPTYBUCKETWITHTHESTICKTHEROCKMASSINTHEBUCKETMDEPENDSONTHEPATHTRAVELEDBYTHEFRONTEDGEOFTHEBUCKETANDTHEINITIALSHAPEOFTHEROCKFACEINORDERTOWRITEANEXPRESSIONFORTHERATEOFMASSINCREMENT,WEWILLCONSIDERTHESCHEMEINFIG2SUPPOSETHATTHEPATHTRAVELEDBYTHEBUCKETEDGEBYTHETIMETISDESCRIBEDBYTHECURVEF2R2,2THEINITIALSHAPEOFTHEFACEBYTHECURVEF3R3,3,WHERER2,,R3,3AREPOLARCOORDINATESWITHTHEORIGINATZERODURINGTHETIMEDTTHEBUCKETEDGETRAVELSADISTANCEICDI;INTHATCASE,SINCED2D3THEMASSINCREMENTWITHINTHETIMEDTISSPECIFIEDBYIDMT,BIOCLIODIIOA\IOBISINDA2,WHERE0ISTHEROCKDENSITYANDBISTHEWIDTHOFTHEBUCKETEDGEWESEEFROMTHEDIAGRAMTHATLOCIR,ION{RDR,IOAIR,IOBIRDR3CONSIDERINGTHATSINDADA2ANDDISREGARDINGTHESQUARESOFTHEINFINITESIMALVARIABLES,WEWRITE1A,,,,R,Z,DATHEINCREMENTD2ISEQUALTOTHEPRODUCTATTHEANGULARSPEEDOFTHESTICKATTHETIMETANDTHEINCREMENTDT,IE,D2DA3DTTHERATEOFINCREMENTOFTHEMASSISNOWEXPRESSEDASDNLO,7_,ID,,3THEMASSFALLINGINTOTHEBUCKETDURINGTHETIMETISDEFINEDBYM,JSDT0THISMASSMIISONLYAFUNCTIONOFTHETIMETMAKINGUSEOFTHEFUNDAMENTALEQUATIONOFTHEDYNAMICSOFAVARIABLEMASSPOINTMESHCHERSKIISEQUATION,WECANDEMONSTRATETHATLAGRANGIANEQUATIONSAREAPPLICABLETOTHEMECHANICALSYSTEMTHATCONSISTSOFVARIABLEMASSMATERIALPOINTSIFTHEABSOLUTEVELOCITYOFTHEASSOCIATEDMASSISEQUALTOZEROCONSIDERAMECHANICALSYSTEMCOMPRISEDOFNMATERIALPOINTSWITHMASSESML,M2MI,,MN,THATMOVEWITHVELOCITIESVILAGRANGIANEQUATIONSFORMICONSTHAVEBEENDERIVEDIN\2,P340\CONSIDERTHECASEOFMIMITINFOLLOWING\2\,WEINTRODUCEGENERALIZEDCOORDINATESQ,SUCHTHATIRIQL,Q2,,QS,T,WHERERIISTHEPOSITIONVECTOROFTHEITHMASSNOW,I1J,OLIOIJIUQJUQJOQWHEREJISGENERALIZEDVELOCITYTHEKINETICENERGYOFTHEMECHANICALSYSTEMATANYTIMEPOINTISDEFINEDAS1TNIVIUIWEFINDPARTIALDERIVATIVESOFKINETICENERGYWITHRESPECTTOTHEGENERALIZEDCOORDINATEQJANDTHEGENERALIZEDVELOCITYJOROIAQJMIUIR,ILAQI132_IH,IORIOTMIVLMIVIOQJI1OQJI\OQJWEDIFFERENTIATETHISEXPRESSIONWITHRESPECTTOTIMECONSIDERNOWTHEFIRSTSUM,TAKINGINTOACCOUNTTHEFUNDAMENTALEQUATIONOFTHEDYNAMICSOFVARIABLEMASSPOINTFORTHECASEWHERETHEABSOLUTEVELOCITYOFTHEASSOCIATEDMASSISEQUALTOZERO\2,P143\,AMVF,M7WHEREPISTHERESULTANTOFTHEFORCESAPPLIEDTOTHEPOINTFORANONFREEMATERIALPOINTWITHVARIABLEMASS,WEHAVEELT,IDMML77DFVIF,7,WHERERIISTHERESULTANTOFTHEREACTIONSOFCONSTRAINTSAPPLIEDTOTHEITHPOINTNOW,7,,M,,,,7,,7,,I1SORIFNQILTHESECONDSUMIS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