2015年北京航空航天大学994工业科学综合考研大纲

　　考研网快讯，据北京航空航天大学研究生院消息，2015年北京航空航天大学工业科学综合考研大纲已发布，详情如下：

  　　
　　
　　全日制硕士专业学位研究生入学考试
　　994《工业科学综合》考试大纲(2015版)
　　《工业科学综合》考试内容包含力学、自动控制和物理三部分。总分150分，其中
　　力学占30分，自动控制占30分，物理占90分。考卷采用英文。学生答题时可采用中文、英文或法文。
　　Partone:Mechanics(30)
　　Chapter1:Kinematics of systems of solid bodies
　　I–General definitions
　　1°)Solid rigid body
    2°)Position vector
　　3°)Velocity vector
　　4°)Acceleration vector
　　II–The twist(or kinematic screw)
    1°)General form
　　2°)Pointchange formula
　　3°)Mathematical properties
    4°)Compositionofmotions5°)Particularmotions
　　III–Compositionofaccelerationvectors1°)Pointchangeformula
　　2°)Compositionofaccelerationvectors
　　IV–Kinematicsofcontacts
　　1°)Definitionofacontactapoint2°)Velocityvector
　　3°)AngularvelocityvectorVII–Caseofplanarproblems
　　1°)Consequencefortwists
　　2°)Instantaneouscenterofrotation(ICR)Chapter2:Modelingofmechanicalactions
　　I–Notionofmechanicalaction(effortandmoment)
　　II–Thewrench(orscrewofmechanicalactions)1°)Pointchangeformula
　　2°)Generalform
　　3°)Mathematicalproperties
　　4°)Mechanicalactionsinthelinksbetweentwosolidbodies5°)Particularforms
　　III–Modelingoffriction
　　1°)Propertyoffrictionmodels
　　2°)Coulombmodeloffrictionfortheresultant3°)Coulombmodeloffrictionforthemoment
　　Chapter3:Fundamentalprincipleofequilibriumforsetsofrigidsolidbodiessolicitedbymechanicalactions
　　I–Fundamentalprincipleofequilibrium1°)Definition
　　2°)Vectortheorems
　　3°)Lawofreciprocalactions
　　4°)SolidbodiesinequilibriumundertheactionsoftwoorthreeslidersII–Caseofplanarproblems
　　1°)Consequenceforwrenches2°)Graphicalconstructions
　　Chapter4:Chainsofsolidbodies
　　I–Definitionofakinematicpairbetweentwosolidbodies1°)Notionofliaisonmodel
　　2°)3-Dstandardkinematicpairs3°)2-Dstandardkinematicpairs
　　4°)Degreeoffreedomanddegreeofconnectionofaliaison
　　II–Linkgraph
　　1°)Structure
　　2°)CyclomaticnumberIII–Kinematicdiagram
　　IV–Kinematicallyequivalentpairs1°)Serialpairs
　　2°)Parallelpairs
　　V–Analysisofsimplechains
　　1°)Geometricpointofview2°)Kinematicpointofview
　　VI–Notionofhyperstaticity
　　Chapter5:Dynamicsandenergeticsofsystemsofrigidsolidbodies
　　I–Notionofmass
　　1°)Principleofmassconservation2°)Centerofinertia
　　II–Kinetics
　　1°)Kineticanddynamicscrews2°)Vectorrelations
　　III–Inertia
　　1°)Momentofinertia2°)Operatorofinertia3°)Matrixofinertia
　　4°)HuygenstheoremIV–Dynamics
　　1°)Fundamentalprincipleofdynamics2°)Theoremsofdynamics
　　3°)Particularcases
　　4°)BalancingofasolidbodyV–Energy
　　1°)Galileankineticenergy
　　2°)Galileanpowerofamechanicalaction3°)Kineticenergytheorem
　　Part2:Automationengineering(30)
　　-Section1:Combinatorialandsequentialsystems
　　Chapter1:Combinatorialanalysisandcounting
　　I–Numberingandcodingsystems
　　1°)Weightednumberingsystems
　　2°)Binarynumberingsystemandbinarycodingsystems3°)Hexadecimalnumberingandcodingsystems
　　4°)Equivalencebetweenthedecimal,binaryandhexadecimalnumberingsystems
　　5°)ConversionfromanumberingsystemtoanotheroneII–Booleanlogic
　　1°)Logicvariables
　　2°)Booleanalgebra
　　3°)LawsofBooleanalgebras4°)DeMorgan’slaws
　　5°)Basiclogicfunctions
　　6°)TruthtablesandKarnaughmaps
　　7°)AlgebraicandKarnaugh’ssimplificationmethodsforBooleanexpressionsChapter2:Modelingofthesequencingofoperations
　　I–Principleofasequentialevolution
　　1°)Limitsofcombinatorialsystems2°)Structureofasequentialsystem
　　II–Timingdiagrams
　　1°)Definition
　　2°)Risingandfallingedge
　　III–Technologicalimplementationofthememoryfunction1°)RSflip-flops
　　2°)Dflip-flop
　　3°)JKflip-flop
　　IV–Basicapplicationsofflip-flops
　　1°)Frequencydivider
　　2°)Asynchronouscounter
　　3°)Synchronouscounter
　　-Section2:Linearcontinuous-timetime-invariantsystems
　　Chapter1:Hypothesesrelatedtothestudyoflinearcontinuous-timetime-invariantsystems
　　I–Continuity
　　1°)Definition
　　2°)MathematicalconsequenceII–Linearity
　　1°)Conceptofoperatingpoint2°)Locallinearization
　　3°)Caseoflinearsystems
　　4°)MathematicalconsequenceIII–Timeinvariance
　　1°)Definition
　　2°)Mathematicalconsequence
　　Chapter2:Performancesoflinearcontinuous-timetime-invariantsystems
　　I–Steadystateperformances1°)Stability
　　2°)PrecisionandrobustnessII–Transientstateperformances
　　1°)Rapidity
　　2°)Damping
　　Chapter3:Mathematicaltoolsforthestudyoflinearcontinuous-timetime-invariantsystem
　　I–Laplacetransformofacontinuoussignal1°)Thecausalityhypothesis
　　2°)DefinitionoftheLaplacetransform
　　3°)Mathematicalproperties
　　4°)Laplacetransformofaderivative
　　5°)LaplacetransformofanantiderivativeII–Initialandfinalvaluetheorems
　　III–Theoremofthedelay
　　IV–ClassicalLaplacetransformsV–Transferfunction
　　Chapter4:Blockdiagram
　　I–Structure
　　1°)Elementsofablockdiagram2°)Modelingofdisturbances
　　II–Basicstructureofablockdiagram
　　III–Transferfunctions
　　1°)Forwardchain
　　2°)Openloop
　　3°)Closed-loopcontrolandtrackingIV–Introductiontotheblockdiagramalgebra
　　1°)Principle
　　2°)Motionofablock
　　3°)Motionofthesummingpoint
　　4°)EquivalentunitfeedbackblockdiagramChapter5:Timeresponse
　　I–1stordersystems
　　1°)Definition
　　2°)Stepresponse
　　3°)Impulseresponse
　　4°)PursuitresponseII–2ndordersystems
　　1°)Definition
　　2°)Stepresponse
　　3°)Impulseresponse
　　4°)PursuitresponseIII–Othersystems
　　1°)Partialfractiondecomposition
　　2°)GeneralmethodologyandimplicationsChapter6:Frequencyresponse
　　I–Definitionandmethods
　　1°)Definition
　　2°)Determinationofthemagnitudeandofthephaseshift3°)Magnitudeandphaseplots
　　II–Frequencyplots
　　1°)Bodeplots
　　2°)Nicholsplot
　　3°)Nyquistplot
　　III–Plotsofthefrequencyresponseofsomeconventionalsystems1°)Integratorsystem
　　2°)1stordersystem
　　3°)2ndordersystem4°)Puredelay
　　IV–Othersystems
　　1°)Generalformofatransferfunction
　　2°)Generalmethodologyandconsequences
　　Chapter7:Algebraicmethodsforthedeterminationoftheperformancesofalinearcontinuous-timetime-invariantsystem
　　I–Stability
　　1°)Analysisofthetransferfunction2°)Algebraicdetermination
　　II–Precisionandrobustness1°)Transferfunctions
　　2°)Precisionconditions
　　3°)RobustnessconditionsIII–Rapidityanddamping
　　1°)Notionofdominantpole2°)Rapidity
　　3°)Damping
　　Chapter8:Determinationoftheperformancesofalinearcontinuous-timetime-invariantsystemfromthefrequencyresponseoftheopen-looptransferfunction
　　I–Mathematicaltools
　　1°)CauchyformulasandCauchytheorem2°)Generalmethodology
　　II–Stability
　　1°)Setbackcriterion
　　2°)Stabilitymargins
　　III–Damping:Black-Nicholsplot
　　IV–Precision/robustnessandrapidityChapter9:Compensationofcontrolsystems
　　I–Constraints,purposeandlimitsofcontrolsystemscompensation
　　1°)Problem
　　2°)ControllersII–Classicalcontrollers
　　1°)Proportionalcorrection
　　2°)Integralcorrections
　　3°)Derivativecorrections
　　Part3:Physics(90)
　　-Section1:Electronics
　　Chapter1:Circuitsinquasi-steadystateapproximation(QSA),Kirchhoff’slaws
　　I–Kirchhoff’scurrentlawII–Kirchhoff’svoltagelaw
　　III–Resistors,capacitors,inductors
　　IV–Shortcircuits,opencircuits
　　V–Independentsources
　　VI–ElementsconnectedinseriesandparallelChapter2:CharacteristicsofdipolesincaseofQSA
　　I–Graphicalcharacteristics
　　II–Analyticalcharacteristics
　　III–GraphicalcharacteristicsconnectedinseriesandparallelChapter3:LinearcircuitsincaseofQSA
　　I–Recallaboutlineardifferentialequations
　　II–Transientstateandsteadystate
　　III–SomebasicexampleswithRLCcircuits
　　Chapter4:Homogeneousresponseofalinearnetwork,excitationbyastepsource
　　Chapter5:Responseofalinearnetworkforsinusoidalinputs,complexformalism
　　I–Introductionofthecomplexformalism
　　II–Kirchoff’slawsinthecomplexformalism
　　III–CompleximpedancesconnectedinseriesandparallelChapter6:Filtering,1stand2ndorder,Bodeplots
　　I–Complextransferfunction
　　II–InterpretationofthemoduleandoftheargumentofthetransferfunctionIII–Log-log(magnitude)andsemi-log(phase)plots
　　IV–RCcircuits,RLcircuits,RLCcircuits,LCRcircuitsandLinserieswithRandCinparallelChapter7:Operationalamplifiers,stabilization,triggering
　　I–1storderlow-pathfiltermodel
　　II–StabilityofanoperationalamplifiercircuitIII–Linearidealoperationalamplifier
　　IV–Illustrationonsomebasiccircuits(bufferamplifier,inverter,non-invertingamplifier,differenceamplifier,summingamplifier,integrator,differentiator)
　　V–Non-linearidealoperationamplifier(Schmidt’strigger)Chapter8:Non-linearcircuitsandDDL(diode-diode-logic)
　　I–Idealdiode
　　II–Realdiode
　　III–PiecewisediodeIV–Rectifiers
　　-Section2:Mathematicalmethodsforphysics
　　Chapter1:Fourierseries,Fourierintegrals,Fouriertransform
　　I–CauchyconditionsforFourierseries
　　II–CalculationofFouriercoefficientsinrealorcomplexform
　　III–Simpleexamples(periodicsquarewave,periodictriangularwave)IV–Applicationtolinearelectroniccircuits
　　V–FromtheFourierseriestotheFourierintegralVI–Fouriertransformofdimensions1and2
　　VII–ApplicationtoFraunhoferdiffractionChapter2:Scalarandvectorfields
　　I–Definitions
　　II–Fieldlines
　　III–Cartesiancoordinates,polarcoordinates,sphericalcoordinates
　　IV–Symmetry,cylindricalinvariance,revoluteinvariance,sphericalinvarianceChapter3:Vectoranalysis,differentialoperators,gradient,divergence,curl,laplacian
　　I–Lagrangemultiplier
　　II–Fluxofavectorfield,volumetricflux,definitionofdivergenceIII–Fluxofascalarfield,volumetricflux,definitionofgradientIV–Scalarlaplacian
　　V–Circulationofavectorfield,surfacecirculation,curlVI–Vectorlaplacian
　　VII–Green-OstrogradskitheoremVIII–Stokestheorem
　　IX–Cartesian,polarandsphericalexpressionsfortheseoperators
　　-Section3:Electromagnetism
　　Chapter1:Lorentzinteraction,Maxwell’sequations,steady,quasi-steady,variablestates
　　I–Lorentzinteraction,electricfield,magneticfield
　　II–Maxwell-Gaussequation,Maxwell-Ampèreequation,Maxwell-Faradayequation,Maxwell-fluxequation
　　III–Steady,quasi-steadyandvariablestates
　　Chapter2:Electrostatics,Coulomb’sforce,Gausstheorem,calculationofelectrostaticfields
　　I–Coulomb’sforce,electrostaticfield
　　II–Fluxoftheelectrostaticfield,Gausstheorem
　　III–Circulationoftheelectrostaticfield,electrostaticvoltage,voltagedifference
　　IV–ApplicationtothecalculationofelectrostaticfieldsChapter3:Electricdipole,electrostaticenergy
　　I–Definitionofadipole
　　II–Dipolarapproximation,dipolarmoment
　　III–Fieldgeneratedbyadipole,dependencyinIV–Electrostaticfieldmap
　　1
　　??3
　　V–Resultantandmomentoftheforceexertedonadipoleinanexteriorelectrostaticfield
　　VI–ElectrostaticenergyofadipoleinanexteriorelectrostaticfieldVII–Simpleapplicationtochemistry
　　Chapter4:Motionofchargesinastaticelectromagneticfield,Laplaceforce
　　I–Laplaceforce,simpleexamplesofcalculationsofLaplaceforces
　　II–Motionofachargeinanelectrostaticfield,analogywithgravitationIII–AccelerationofaparticleqinafieldE,energeticanalysis
　　IV–Motionofanelectricchargeinatime-uniformspace-uniformmagneticfieldV–Energeticanalysis,deviation,basiccyclotron
　　Chapter5:Magnetostatics,vectorpotential,Ampèretheorem,calculusofmagnetostaticfields
　　I–StaticMaxwellequation,vectorpotential,staticPoissonequationII–Circulationofthemagneticfield,Ampèretheorem
　　III–Application to the calculation of magnetic fields
Chapter6:Magnetostatic dipole,magnetostaticenergy
　　I–Definitionofadipole
　　II–Dipolarapproximation,dipolarmoment
　　III–Vectorpotentialgeneratedbyadipole,magneticfieldB,dependencyinIV–Magneticfieldmap
　　V–Comparisonwithelectrostaticdipole
　　VI–Symmetryandantisymmetryrevisited
　　1
　　??3
　　VII–Resultantandmomentoftheforceexertedonamagnetostaticdipoleinanexteriormagnetostaticfield
　　VIII–MagnetostaticenergyofadipoleinanexteriormagnetostaticfieldChapter7:Self-andmutualinductance
　　I–Self-inductanceofonecircuit
　　II–MutualinductanceofasystemoftwocircuitsIII–Simplecalculationexamples,solenoids
　　Chapter8:Induction,Neumann-FaradayandLorentz-Faradaylaws
　　I–Fixedcircuitinatime-dependentmagneticfieldII–Neumannelectromotivefield
　　III–CirculationoftheelectromotivefieldIV–Neumannelectromotiveforce
　　V–ExampleofatransformerVI–Foucaultcurrents
　　VII–Mobilesolidcircuitinatime-independentmagneticfield,Neumann-Faradayelectromotivefield,Neumann-Faradayelectromotiveforce
　　VIII–Energeticanalysis,historicalexample(Barlow’swheelandLaplace’srails)
　　-Section4:Thermodynamics
　　Chapter1:IntroductiontoThermodynamics,basicvocabularyChapter2:Fundamentallaw,theentropyfunction
　　Chapter3:Work,heattransfer,energeticexchanges
　　Chapter4:Historyofthermodynamics,lawsofthermodynamics,theClausiusinequality
　　Chapter5:Puremonophasicfluid,thermo-elasticandheatcoefficientsChapter6:Appliedthermodynamics:U,H,S,Carnot’scycle
　　Chapter7:Thermalengines
　　Chapter8:Thermodynamicfunctionsandpotentials
　　Chapter9:Phasetransition,thermo-elasticandenergeticaspects

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