北京航空航天大学2027年硕士研究生招生考试《824工业科学综合》考试大纲

北京航空航天大学2027年硕士研究生招生考试《824工业科学综合》考试大纲

  Expected skills and content of the exam

  The examinee is expected to be able to analyze and solve an automation control problem and a problem involving several fields of physics （electrokinetics， 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 systems

  1） Forward chain control

  2） Feedback control

  II - Hypotheses related to the study oflinear time-invariant （LTI） systems

  1） Continuity

  2） Linearity

  3） Time invariance

  III - Performances ofLTI systems

  1） Steady-state performances

  2） Transient-state performances

  IV - Mathematical tools for the study ofLTI systems

  1） Laplace transform ofa continuous signal

  2） Modeling by a block diagram

  V - Time response

  1） First order systems

  2） Second order systems

  3） Higher order systems

  VI - Frequency response

  1） Definition and methods

  2） Frequency plots

  3） Frequency response of some basic systems

  4） Frequency response ofother systems

  VII - Algebraic methods for the determination ofthe performances ofa LTI system

  1） Stability

  2） Accuracy and robustness

  3） Swiftness and damping

  VIII - Determination ofthe performances ofa LTI system from the frequency response ofits open-loop transfer function

  1） General methodology： Nyquist criterion

  2） Stability

  3） Damping： Nichols chart

  4） Accuracy/robustness and swiftness

  IX - Compensation ofcontrol systems

  1） Types ofcontrollers （serial， parallel， by anticipation）

  2） Classical controllers

  Physics part

  I - Electrokinetics

  1） General laws ofelectrokinetics

  2） Usual theorems of electrokinetics

  3） Transient regimes

  4） Linear circuits used with forced sinusoidal excitations

  5） Transfer function and filtering

  6） Filtering ofperiodic signals

  II - Electromagnetism 1 ： stationary and quasi-stationary regime

  1） Charge distribution

  2） Electrostatic field

  3） Current distribution

  4） Magnetostatic field

  5） An electrostatic potential

  6） The electrostatic dipole - The magnetic dipole

  III - Wave physics

  1） 1-D d’Alembert equation

  2） Synchronous harmonic waves superposition： interferences and resonance

  3） Electromagnetic waves in vacuum

  4） Reflection ofan electromagnetic wave offa perfectly conducting medium

  5） Linear propagation phenomenon – dispersion （Example of wave propagation in a plasma）

  6） Propagation ofan electromagnetic wave in a real conducting medium – absorption

  IV – Electromagnetism 2

  1） Electromagnetism postulates

  2） Energy carried by an electromagnetic wave

  3） Conductive media

  4） Quasi stationary state approximation

  5） Electromagnetic induction

  V - Thermodynamics

  1） Temperature - Description ofmodel fluids

  2） Thermodynamical system at the thermodynamical equilibrium

  3） First law ofthermodynamics

  4） Second law ofthermodynamic

  5） First and second laws of thermodynamics for an open system at steady state

  6） Heat engines

  7） Phase transitions

  8） Transport phenomena： particles diffusion - heat conduction – thermal radiation

  VI - Optics

  1） Elements ofgeometrical optics

  2） Wave model oflight

  3） Interference phenomena

  4） Spatial and temporal coherences

  5） Michelson interferometer

  VII - Mechanics

  1） Newton’s laws ofmotion

  2） Work，potential energy and kinetic energy

  3） Angular momentum

  4） Linear systems used with forced sinusoidal excitations