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2024 年北京航空航天大学中法工程师学院硕士研究生入学考试大纲994 工业科学综合Master entrance examination of Beihang, 2024Syllabus of Engineering Science and PhysicsExpected skills and content of the examThe examinee is expected to be able to analyze and solve an automation control problem and a problem involving several fields of physics (electrokinetics, mathematics for physics, wave physics, electromagnetism, thermodynamics, optics, and mechanics). The exam consists of two parts: an automation control problem which counts for 50 points, and a physics problem which counts for 100 points.Engineering Science part (automation control)I - Modeling of automation systems1) Forward chain control2) Feedback controlII - Hypotheses related to the study of linear time-invariant (LTI) systems1) Continuity2) Linearity3) Time invarianceIII - Performances of LTI systems1) Steady-state performances2) Transient-state performancesIV - Mathematical tools for the study of LTI systems1) Laplace transform of a continuous signal2) Modeling by a block diagramV - Time response1) First order systems2) Second order systems3) Higher order systemsVI - Frequency response1) Definition and methods2) Frequency plots3) Frequency response of some basic systems4) Frequency response of other systemsVII - Algebraic methods for the determination of the performances of a LTI system 1) Stability2) Accuracy and robustness3) Swiftness and dampingVIII - Determination of the performances of a LTI system from the frequency response of its open- loop transfer function1) General methodology: Nyquist criterion2) Stability3) Damping: Nichols chart4) Accuracy/robustness and swiftnessIX - Compensation of control systems1) Types of controllers (serial, parallel, by anticipation)2) Classical controllersPhysics partI - Electrokinetics1) General laws of electrokinetics2) Usual theorems of electrokinetics3) Transient regimes4) Linear circuits used with forced sinusoidal excitations5) Transfer function and filtering6) Filtering of periodic signalsII - Mathematics for physics presented through steady-state electromagnetism1) Charge distribution2) Electrostatic field3) Current distribution4) Magnetostatic field5) An electrostatic potential6) A vector potential7) The electrostatic dipole - The magnetic dipoleIII - Wave physics1) 1-D dAlembert equation2) Synchronous harmonic waves superposition: interferences and resonance 3) Electromagnetic waves in vacuum4) Reflection of an electromagnetic wave off a perfectly conducting medium 5) Linear propagation phenomenon - dispersion6) Propagation of an electromagnetic wave in a real conducting medium - absorption 7) Reflection and refraction of an electromagnetic wave on a surfaceIV - Electromagnetism1) Electromagnetism postulates2) Energy carried by an electromagnetic wave3) Conductive media4) Electric dipole radiation5) Quasi stationary state approximation6) Electromagnetic inductionV - Thermodynamics1) Temperature - Description of model fluids2) Thermodynamical system at the thermodynamical equilibrium3) First law of thermodynamics4) Second law of thermodynamics5) Heat engines6) Phase transition7) Transport phenomena: particles diffusion - heat conductionVI - Optics1) Elements of geometrical optics2) Wave model of light3) Interference phenomena4) Spatial and temporal coherences5) Michelson interferometerVII - Mechanics1) Newtons laws of motion2) Work,potential energy and kinetic energy3) Angular momentum4) Linear systems used with forced sinusoidal excitations
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