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ޱலᆓናନᎈ৲ཏ࿉ Dytrol.com ᎒खଖᆼၬˤAokee.com˥-1-Editedby:Blueskylhmϔ㠀ᄺ㉏˖ߚᵤᄺanalyticalmechanicsᢝḐᳫ᮹ЬᄤLagrangemultiplierᢝḐᳫ᮹[䞣]LagrangianᢝḐᳫ᮹ᣀোLagrangebracketᕾ⦃തᷛcycliccoordinateᕾ⦃⿃ߚcyclicintegralજᆚ乓[䞣]Hamiltonianજᆚ乓ߑ᭄Hamiltonianfunctionℷ߭ᮍcanonicalequationℷᨘ߭ࡼcanonicalperturbationℷ߭বᤶcanonicaltransformationℷ߭ব䞣canonicalvariableજᆚ乓ॳ⧚Hamiltonprinciple⫼䞣⿃ߚactionintegralજᆚ乓-䲙ৃ↨ᮍHamilton-Jacobiequation⫼--㾦ᑺব䞣action-anglevariables䰓ԽᇨᮍAppellequationࢇᮃᮍRouthequationᢝḐᳫ᮹ߑ᭄Lagrangianfunction䇎⡍ᅮ⧚Noethertheorem⊞ᵒᣀোpoissonbracket䖍⬠⿃ߚ⊩boundaryintegralmethodᑊⶶdyad䖤ࡼ〇ᅮᗻstabilityofmotion䔼䘧〇ᅮᗻorbitalstabilityᴢ䲙᱂䇎ߑ᭄Lyapunovfunction⏤䖥〇ᅮᗻasymptoticstability㒧ᵘ〇ᅮᗻstructuralstabilityЙᳳϡ〇ᅮᗻsecularinstabilityᓫ⋯߃ᅮ⧚Floquettheoremؒ㽚ⶽcapsizingmoment㞾⬅ᤃࡼfreevibration᳝ᤃࡼnaturalvibration᱖ᗕtransientstate⦃๗ᤃࡼambientvibrationড݅ᤃanti-resonance㹄ޣattenuationᑧҥ䰏ሐCoulombdampingৠⳌߚ䞣in-phasecomponent䴲ৠⳌߚ䞣out-of-phasecomponent䍙䇗䞣overshootখ䞣[▔ࢅ]ᤃࡼparametricvibration㊞ᤃࡼfuzzyvibrationЈ⬠䕀䗳criticalspeedofrotation䰏ሐ఼damperञዄᆑᑺhalf-peakwidth䲚ᘏখ䞣㋏㒳lumpedparametersystemⳌᑇ䴶⊩phaseplanemethodⳌ䔼䗍phasetrajectoryㄝؒ㒓⊩isoclinemethod䏇䎗⦄䈵jumpphenomenon䋳䰏ሐnegativedamping䖒㢀ᮍDuffingequationᏠᇨᮍHillequationKBMᮍ⊩KBMmethod,Krylov-Bogoliu-bov-Mitropol'skiimethod偀㩖क़ᮍMathieuequationᑇഛ⊩averagingmethod㒘ড়䷇䇗combinationtone㾷䇤detuning㗫ᬷߑ᭄dissipativefunction⹀▔ࢅhardexcitation⹀ᔍㇻhardspring,hardeningspring䇤⊶ᑇ㸵⊩harmonicbalancemethodЙᳳ乍secularterm㞾▔ᤃࡼself-excitedvibrationߚ⬠㒓separatrixѮ䇤⊶subharmonic䕃ᔍㇻsoftspring,softeningspring䕃▔ࢅsoftexcitation䙧ܟ߽݀ᓣDunkerleyformula⨲߽ᅮ⧚RayleightheoremߚᏗখ䞣㋏㒳distributedparametersystemӬ乥⥛dominantfrequencyᗕߚᵤmodalanalysis᳝ᗕnaturalmodeofvibrationৠℹsynchronization䍙䇤⊶ultraharmonic㣗ᖋ⊶ᇨᮍvanderpolequation乥䈅frequencyspectrum乥fundamentalfrequencyWKBᮍ⊩WKBmethodޱலᆓናନᎈ৲ཏ࿉ Dytrol.com ᎒खଖᆼၬˤAokee.com˥-2-Editedby:BlueskylhmWKBᮍ⊩Wentzel-Kramers-Brillouinmethod㓧ކ఼buffer亢▔ᤃࡼaeolianvibrationவ号buzzצ䈅cepstrum乸ࡼchatter㲛㸠hunting䰏ᡫऍ䜡impedancematchingᴎẄᇐ㒇mechanicaladmittanceᴎẄᬜ⥛mechanicalefficiencyᴎẄ䰏ᡫmechanicalimpedance䱣ᴎᤃࡼstochasticvibration,randomvibration䱨ᤃvibrationisolationޣᤃvibrationreductionᑨ䖛ކstressovershoot୬ᤃsurgeᨚᤃshimmy䍋ӣ䖤ࡼphugoidmotion䍋ӣᤃ㤵phugoidoscillation偄ᤃgalloping䰔㶎ࡼᄺgyrodynamics䰔㶎ᨚgyropendulum䰔㶎ᑇৄgyroplatform䰔㶎ⶽgyroscoopictorque䰔㶎〇ᅮ఼gyrostabilizer䰔㶎ԧgyrostatᛃᗻᇐ㟾inertialguidance࿓ᗕ㾦attitudeangleᮍԡ㾦azimuthalangle㟦ࢦ਼ᳳSchulerperiodᴎ఼Ҏࡼᄺrobotdynamicsԧ㋏㒳multibodysystem߮ԧ㋏㒳multi-rigid-bodysystemᴎࡼᗻmaneuverability߃ᘽᮍ⊩Kanemethod䕀ᄤ[㋏㒳]ࡼᄺrotordynamics䕀ᄤ[ϔᬃᡓϔ⸔]㋏㒳rotor-support-foundationsystem䴭ᑇ㸵staticbalancingࡼᑇ㸵dynamicbalancing䴭ϡᑇ㸵staticunbalanceࡼϡᑇ㸵dynamicunbalance⦄എᑇ㸵fieldbalancingϡᑇ㸵unbalanceϡᑇ㸵䞣unbalanceѦ㗺crossforceᣴᗻ䕀ᄤflexiblerotorߚ乥䖯ࡼfractionalfrequencyprecessionञ乥䖯ࡼhalffrequencyprecession⊍㝰ᤃ㤵oilwhip䕀ᄤЈ⬠䕀䗳rotorcriticalspeed㞾ࡼᅮᖗself-alignmentѮЈ⬠䕀䗳subcriticalspeed⍵ࡼwhirlԧᄺ㉏˖ᔍᗻᄺelasticityᔍᗻ⧚䆎theoryofelasticityഛࣔᑨ⢊ᗕhomogeneousstateofstressᑨϡব䞣stressinvariantᑨবϡব䞣straininvariantᑨবἁ⧗strainellipsoidഛࣔᑨব⢊ᗕhomogeneousstateofstrainᑨবण䇗ᮍequationofstraincompatibilityᢝṙᐌ䞣Lameconstantsৠᗻᔍᗻisotropicelasticityᮟ䕀ⲬrotatingcirculardiskἨwedgeᓔᇨ᭛䯂乬KelvinproblemᏗ㽓ݙᮃܟ䯂乬Boussinesqproblem㡒䞠ᑨߑ᭄Airystressfunctionܟ㔫㋶--〚ᮃ䌿߽Ҕ㓈߽⊩Kolosoff-Muskhelishvilimethodᇨ䳡؛䆒KirchhoffhypothesisᵓPlateⶽᔶᵓRectangularplateᵓCircularplate⦃ᵓAnnularplate⊶㒍ᵓCorrugatedplateࡴࢆᵓStiffenedplate,reinforcedޱலᆓናନᎈ৲ཏ࿉ Dytrol.com ᎒खଖᆼၬˤAokee.com˥-3-Editedby:BlueskylhmPlateЁ८ᵓPlateofmoderatethicknessᔃ[᳆]ᑨߑ᭄StressfunctionofbendingShell᠕Shallowshellᮟ䕀Revolutionaryshell⧗Sphericalshell[]᷅Cylindricalshell䫹Conicalshell⦃Toroidalshellᇕ䯁Closedshell⊶㒍Corrugatedshellᡁ[䕀]ᑨߑ᭄Stressfunctionoftorsion㖬᳆ߑ᭄Warpingfunctionञ䗚㾷⊩semi-inversemethod⨲߽--䞠㣼⊩Rayleigh-Ritzmethodᵒᓯ⊩Relaxationmethod㦅㓈⊩LevymethodᵒᓯRelaxation䞣㒆ߚᵤDimensionalanalysis㞾ⳌԐ[ᗻ]self-similarityᕅડ䴶Influencesurface㾺ᑨContactstress䌿ݍ⧚䆎Hertztheoryण䇗㾺Conformingcontact⒥ࡼ㾺Slidingcontact⒮ࡼ㾺Rollingcontactय़ܹIndentationᓖᗻᔍᗻAnisotropicelasticity乫㉦ᴤ᭭GranularmaterialᬷԧᄺMechanicsofgranularmedia⛁ᔍᗻThermoelasticity䍙ᔍᗻHyperelasticity㉬ᔍᗻViscoelasticityᇍᑨॳ⧚Correspondenceprinciple㼊ⲅWrinkleลᗻܼ䞣⧚䆎Totaltheoryofplasticity⒥ࡼSlidingᖂ⒥Microslip㉫㊭ᑺRoughness䴲㒓ᗻᔍᗻNonlinearelasticityᣴᑺLargedeflectionさᔍ䏇বsnap-through᳝䰤বᔶFinitedeformationḐᵫᑨবGreenstrain䰓ᇨ᳐㽓ᑨবAlmansistrainᔍᗻࡼᄺDynamicelasticity䖤ࡼᮍEquationofmotionޚ䴭ᗕⱘQuasi-static⇨ࡼᔍᗻAeroelasticity∈ᔍᗻHydroelasticity乸ᤃFlutterᔍᗻ⊶Elasticwaveㅔऩ⊶Simplewave᷅䴶⊶Cylindricalwave∈ᑇ࠾ߛ⊶HorizontalshearwaveオⳈ࠾ߛ⊶Verticalshearwaveԧ⊶bodywave᮴ᮟ⊶Irrotationalwave⭌ব⊶Distortionwave㝼㚔⊶Dilatationwave⨲߽⊶Rayleighwaveㄝᆍ⊶Equivoluminalwaveࢦ⊶Lovewave⬠䴶⊶Interfacialwave䖍㓬ᬜᑨedgeeffectลᗻᄺPlasticityৃ៤ᔶᗻFormability䞥ሲ៤ᔶMetalforming㗤ᩲᗻCrashworthiness㒧ᵘᡫᩲ↕ᗻStructuralcrashworthinessᢝᢨDrawing⸈ണᴎᵘCollapsemechanismಲᔍSpringbackय़Extrusionކय़Stampingこ䗣Perforationሖ㺖Spallingลᗻ⧚䆎Theoryofplasticityᅝᅮ[ᗻ]⧚䆎Shake-downtheory䖤ࡼᅝᅮᅮ⧚kinematicshake-downtheorem䴭ᅝᅮᅮ⧚Staticshake-downtheorem⥛Ⳍ݇⧚䆎ratedependenttheorem䕑㥋ᄤloadfactorࡴ䕑ޚ߭Loadingcriterionࡴ䕑ߑ᭄Loadingfunctionࡴ䕑䴶Loadingsurfaceޱலᆓናନᎈ৲ཏ࿉ Dytrol.com ᎒खଖᆼၬˤAokee.com˥-4-Editedby:Blueskylhmลᗻࡴ䕑Plasticloadingลᗻࡴ䕑⊶Plasticlo