2015年北京航空航天大学994工业科学综合考研大纲

查字典查字典考研网快讯，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

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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