80 1 theoretical mechanics
First, the overall requirements of the examination
This course mainly examines students' mastery of the basic concepts, theories and methods of theoretical mechanics. It is required to use the basic theories and methods of mechanics to skillfully analyze the stress of the research object and solve the problem of static balance; Action analysis, the solution of each exercise; Dynamic analysis and solution of dynamic synthesis problems.
Second, the content and proportion of the examination
Statics (20 ~ 40%):
(1) Master various common constraint types. Proficient in force analysis of object system.
(2) Skillfully calculate the projection of force, moment and couple.
(3) The equilibrium equations of various plane force systems are applied to solve the equilibrium problems of single object, object system and plane truss (mainly to solve the constraint reaction and truss internal force).
(4) The balance problem of plane object system considering sliding friction.
Kinematics (20 ~ 40%):
(1) Understand the characteristics of rigid body translation and fixed axis rotation. Ingeniously solve the angular velocity and angular acceleration of the fixed-axis rotating rigid body, and solve the velocity and acceleration of each point on the fixed-axis rotating rigid body.
(2) Master the basic concepts in the synthetic motion of points. Using the theorem of velocity and acceleration of points skillfully to solve kinematics problems in plane problems.
(3) Understand the characteristics of plane motion of rigid body. Using base point method, instantaneous center method and velocity projection method skillfully to find the velocity of each point on planar mechanism. Can skillfully apply the base point method to find the acceleration of each point on the planar mechanism.
Kinetics (40 ~ 60%):
(1) Calculate the work of force and the kinetic energy of particle, particle system and plane moving rigid body skillfully. The kinetic energy theorem of particles and particle systems is applied to solve related dynamic problems.
(2) can calculate the basic physical quantities in dynamics. Skillfully use momentum theorem, centroid motion theorem, rigid body rotation around a fixed axis and other general dynamics theorems to solve dynamic problems.
(3) Master the simplified results of inertial force system when the rigid body is in translation and when the symmetrical rigid body rotates on a fixed axis and moves in plane. D'Alembert's principle (dynamic and static combination method) is applied to solve dynamic problems.
(4) Applying the principle of virtual displacement to solve the problem.
(5) The vibration problem of single-degree-of-freedom system is calculated.
Third, the types and proportions of test papers.
Comprehensive calculation problem
Four. Examination form and time
The examination paper is finished. The examination time is three hours.
802 material mechanics
First, the overall requirements of the examination
Master the basic principles and methods of studying the distribution law of internal force, stress and deformation of components; Master the theory and calculation method of studying the strength, stiffness and stability of components. The concept is clear, and the ability of analysis and calculation is skilled. The practical engineering components can be abstracted into mechanical models, and simple practical engineering problems can be solved by using the knowledge of material mechanics.
Second, the content and proportion of the examination
1. Basic part: (accounting for 85% of the test questions)
1) have a clear understanding of the basic concepts and basic analysis methods of material mechanics.
2) Proficiently analyze the internal force of the bar under various basic deformations, calculate its stress and deformation, and calculate its strength and stiffness.
3) Have a clear understanding of stress state theory and generalized Hooke's law and skilled calculation ability;
4) Grasp the strength theory and apply it to the strength calculation of composite deformed members.
5) Master the solution of simple statically indeterminate problems.
6) Have a clear understanding of the basic principle of energy method and master an energy method for calculating displacement.
7) The critical load and critical stress of axial compression bar will be calculated, and its stability will be checked.
8) Master the basic mechanical properties of common materials and their preliminary test methods.
9) Understand the basic principles and methods of stress analysis in electrical measurement experiment.
2. Improvement: (0/5% of the test/kloc-)
1) Bending shear stress of thin-walled beam, the concept of bending center, etc.
2) Calculate the strain energy of members under various deformations, and calculate the deformation of members by energy method to solve the simple statically indeterminate problem.
3) Knowing the concept of dynamic load, we can calculate the stress and deformation of components when they are impacted; Understand the concept of fatigue failure of materials under alternating stress, fatigue limit and main factors affecting fatigue limit of components.
Third, the types and proportions of test papers.
Give priority to comprehensive calculation and analysis questions, and the selected questions shall not exceed 10% of the total score.
Four. Examination form and time
Written test, three hours.
8 18 structural mechanics
First, the overall requirements of the examination
Structural mechanics is a basic technical course for structural engineering, bridge and tunnel engineering, water conservancy and hydropower engineering. The general requirement of the examination is to accurately understand the basic concepts and structural calculation principles; Mastering the calculation methods of various structures can be used and the calculation results are correct.
Second, the content and proportion of the examination
1. Geometric composition analysis of plane system: 5%
2. Calculation of internal force and displacement of statically determinate structure: statically determinate structure includes statically determinate beam, statically determinate plane rigid frame, three-hinged arch, statically determinate truss and statically determinate composite structure. Accounted for 25%
3. Calculation of internal force and displacement of statically indeterminate structure: including force method and displacement method to calculate statically indeterminate structure. 40%
4. Structural calculation under moving load: including the practice and application of influence line. 5%
5. Calculation of structures under dynamic loads: including free vibration of single-degree-of-freedom and multi-degree-of-freedom systems and forced vibration of single-degree-of-freedom and multi-degree-of-freedom systems under harmonic loads. Accounted for 25%
Third, the types and proportions of test papers.
1. Multiple choice questions: 16%
2. True or false: 16%
3. Analysis and calculation problems: 68%
Four. Examination form and time
The form is written examination, and the examination time is three hours.
1. Liu Zhaopei, Zhang, Structural Mechanics, Tianjin University Press, 2006.
2. Long Yuqiu, Bao Shihua, Structural Mechanics, Higher Education Press, 2000.
8 12 automatic control theory
First, the overall requirements of the examination
Including the basic parts of classical control theory and modern control theory, it mainly examines students' ability to analyze and comprehensively design automatic control systems.
Second, the content and proportion of the examination
Classical control theory (60%):
1, mathematical model of control system
Input-output differential equation model of the system, linearization of nonlinear system at working point, transfer function, structure diagram and its simplification, Mei Sen gain formula.
2. Control system analysis
Stability of control system, routh criterion, step response and performance index of first-order system and second-order system, dominant pole and dynamic performance estimation of the system, steady-state error of control system, root locus and parameter root locus.
3. Control the frequency characteristics of the system, the amplitude-phase frequency characteristic curve of the system and Nyquist stability criterion; Logarithmic frequency characteristic curve and frequency characteristic index of the system.
4. Control system synthesis
The relationship between time domain index and frequency domain index of the control system, the series lead correction, lag correction and lead-lag correction of root locus method and frequency characteristic method, and the correction is made according to the expected frequency characteristic.
5. Discrete time system
Pulse transfer function, pulse transfer function of open-loop and closed-loop systems, stability analysis of discrete-time systems, relationship between pole position and transient response, steady-state error calculation, root locus analysis.
6. Nonlinear control system
Concept of phase plane, singularity and its classification, limit cycle and its classification, phase plane analysis method of nonlinear system, description function analysis method of nonlinear system.
Modern control theory (40%):
7. State space representation of the system, linear transformation, realization of controllability criterion and observability criterion of single-input single-output system, and solution of state equation. Lyapunov stability, Lyapunov second method.
8. Controllability and observability and their determination methods, pole assignment of single-input single-output system, state observer design, system stabilization and decoupling.
Third, the type of test paper.
Analysis and calculation are the main problems.
Four. Examination form and time
Written test, three hours.
Verb (abbreviation of verb) reference materials
1, Principles of Automatic Control, Science Press, Xia
2. Modern Control Theory, Machinery Industry Press, Liu Bao.
3. Principle of Automatic Control, Science Press, Hu Shousong.
(1) Fill-in-the-blanks and multiple-choice questions account for about 20% ~ 30%.
(2) Analysis questions and short answers account for about 10% ~ 15%.
(3) Calculation problems and structural design problems account for about 55% ~ 70%.
Four. Examination form and time
The examination takes the form of written examination, which lasts for 3 hours (full mark 150).
836 advanced algebra
First, the overall requirements of the examination
Candidates are required to systematically understand the basic concepts and theories of advanced algebra and master the basic methods of algebra. Candidates are required to have abstract thinking ability, logical reasoning ability, spatial imagination ability, calculation ability, and the ability to comprehensively apply what they have learned to analyze and solve problems.
Second, the content and proportion of the examination
1. Polynomials: number domain, binary polynomial, divisible, common factor, coprime, irreducible polynomial, factorization theorem, multiple factors, polynomials, functions, factorization of complex and real coefficient polynomials, rational coefficient polynomials and multivariate polynomials.
2. Determinant: permutation, definition of N-order determinant, properties and calculation of N-order determinant, expansion of determinant (according to Laplace theorem) Cramer's law.
3. Matrix: concept of matrix, operation of matrix, determinant of inverse matrix, matrix product, block matrix, elementary matrix, elementary transformation, block matrix and elementary transformation and their applications, and rank of matrix.
4. Linear equations: N-dimensional vector space, linear correlation of N-dimensional vectors, maximal linearly independent groups of vector groups, rank of vector groups and solutions of linear equations, discrimination principle of solutions, and structure of solutions.
5. Quadratic form: quadratic form and its matrix representation. The canonical form, property form and chemical quadratic form of quadratic form are canonical form and positive definite quadratic form.
6. Linear space: the definition and properties of set, mapping and linear space. Basis, dimension and coordinate, basis transformation and coordinate transformation, linear subspace, intersection and sum of subspace, direct sum, isomorphism of linear space.
7. Definition and operation of linear transformation, commutative matrix of linear transformation, eigenvalues and eigenvectors, diagonal matrix, range and kernel of linear transformation, invariant subspace.
8.λ- matrix: the concept of λ-matrix, the canonical form of λ-matrix, determinant factor, invariant factor under elementary transformation, the condition that elementary factor is similar to matrix, Jordan canonical form of matrix and its theoretical derivation.
9. Euclidean space: the definition and basic properties of Euclidean space, standard orthogonal basis, isomorphism and orthogonal transformation of Euclidean space, subspace and its orthogonal system, orthogonal complement, standard form of symmetric matrix. Distance from vector to subspace, least square method, unitary space.
Each part accounts for about 10%.
Third, the type and proportion of the exam.
1. Fill in the blanks 15%. 2.40% of the calculation questions. 3.45% of the proof questions.
Four. Examination form and time
The examination papers are all written. The examination time is three hours. (in 150)