The first part is theoretical mechanics.
I. Basic part
(A), statics
1. Master the basic concepts and properties of force, moment and force system. Can skillfully calculate the projection of force, the moment of force to point and the moment of force to axis.
2. Master the basic concepts and properties of couple, couple moment and couple system. Proficient in calculating couple moment and its projection.
3. Master the basic concepts and properties of principal vector and principal moment of force system. Master the simplification methods of intersecting force system, parallel force system and general force system, and be familiar with the simplification results. Can skillfully calculate the principal vectors and principal moments of various force systems. Master the concept of center of gravity and its position calculation method.
4. Master the concept of constraint and the nature of various common ideal binding forces. Can skillfully draw the stress diagram of a single rigid body and rigid body system.
5. Master the equilibrium conditions and equations of various force systems. It can skillfully solve the balance problem between a single rigid body and a simple rigid body system.
6. Master the concepts of sliding friction and friction angle. It can solve the balance problem between a single rigid body and a simple plane rigid body system considering sliding friction.
(2) kinematics
1, master vector method, rectangular coordinate method and natural coordinate method to describe the movement of a point, and can find out the trajectory of the point, and skillfully solve the speed and acceleration of the point.
2. Master the concepts and motion characteristics of rigid body translation and fixed-axis rotation, and vector representation of speed and acceleration of each point on fixed-axis rotation rigid body. It can skillfully solve the angular velocity and angular acceleration of rigid body rotating on a fixed axis and the velocity and acceleration of each point on the rigid body.
3. Master the basic concept of compound motion of points, and master and apply the theorem of velocity synthesis and acceleration synthesis of points.
4. Master the concept and description of plane motion of rigid body and the concept of instantaneous center of velocity of rigid body in plane motion. It can skillfully solve the angular velocity and angular acceleration of a plane moving rigid body and the velocity and acceleration of each point on the rigid body.
(3) Kinetics
1, master the method of establishing differential equations of particle motion. Understand the solutions of two kinds of basic dynamic problems.
2, master the calculation of rigid body moment of inertia. Understand the concepts of rigid body inertia product and inertia principal axis.
3. Skillfully calculate the momentum, moment of momentum and kinetic energy of particle systems and rigid bodies; And can skillfully calculate the impulse (torque), work and potential energy of force.
4. Master the general theorems of dynamics (including momentum theorem, centroid motion theorem, momentum moment theorem of fixed point and centroid, kinetic energy theorem) and the corresponding conservation theorems, and use them comprehensively.
5. Master the method of establishing the dynamic equation of plane motion of rigid body. Understand the solutions of two kinds of basic dynamic problems.
6. Master the concept of D'Alembert inertial force and the simplification of D'Alembert inertial force system of plane motion rigid body. Master D'Alembert's principle of particle system (dynamic and static method) and apply it comprehensively. Understand the concepts of static balance and dynamic balance of fixed-axis rotating rigid body.
Second, the theme part.
(A) the principle of virtual displacement
Master the concepts of virtual displacement and virtual work; Master the concepts of degree of freedom and generalized coordinates of particle system; The principle of virtual displacement of particle system will be applied.
(2) Collision problem
1. Grasp the characteristics of the collision problem and its simplified conditions. Master the concept of oil recovery
2. It can solve the collision between two objects and the collision between a fixed axis rotating rigid body and a plane moving rigid body.
The second part, mechanics of materials
First, the basic part.
1, the task of material mechanics, the relationship with related disciplines, the basic assumptions of deformed solids, the cross-section method and internal forces, stress, deformation and strain.
2. Axial force and axial force diagram, stress of straight section and inclined section, Saint-Venant principle, and the concept of stress concentration.
3. Tensile and compressive mechanical properties of materials, Hooke's law, elastic modulus, Poisson's ratio and stress-strain curve.
4. Determination of strength condition, safety factor and allowable stress of tension and compression bar.
5. Deformation of strut and statically indeterminate problem of simple strut.
6. The concept and practical calculation of shear and extrusion.
7. Torque and torque diagram, shear stress reciprocity theorem, Hooke's law of shear, torsional stress and deformation of circular shaft, torsional strength and stiffness conditions.
8. Static moment and center of mass, quadratic moment of section, parallel axis displacement formula.
9. Plane bending internal force, shear force, moment equation, shear force and bending moment diagram, and draw beam shear force and bending moment diagram by differential relation.
10, bending normal stress and its strength conditions, and measures to improve bending strength.
1 1, crankshaft and its approximate differential equation, calculation of beam displacement by integral method, check of beam stiffness, and measures to improve beam bending stiffness.
12, the concept of stress state, analytical method and graphic method of stress analysis under plane stress state.
13, concept of strength theory, analysis of failure forms, four classical strength theories.
14, strength calculation of members under combined deformation.
15. Concept of stability of compression bar, Euler formula of critical load and critical stress, and measures to improve stability of compression bar. weary
16, the concept of fatigue failure, the main factors affecting the fatigue limit of components, and the measures to improve the fatigue strength of components.
17, tensile and compressive experiments, determination of elastic modulus or Poisson's ratio, determination of bending normal stress.
Second, the theme part.
1, calculation of strain energy of bar, Mohr theorem and its application.
2. Simple dynamic load problem.
3. Some special experiments of material mechanics.