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Uedu Open / Engineering Dynamics
2.003SC

Engineering Dynamics

Prof. J. Kim Vandiver, Prof. David Gossard | Fall 2011
Science & Math Physics Engineering Mechanical Engineering Classical Mechanics Science Solid Mechanics
前往原始課程
CC BY-NC-SA 4.0
課程簡介
This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange’s equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems.
課程資訊
來源MIT 開放式課程
科系Civil and Environmental Engineering
語言English
影片數39
課程影片 (39)
1
1. History of Dynamics; Motion in Moving Reference Frames
1. History of Dynamics; Motion in Moving Reference Frames
2
2. Newton's Laws & Describing the Kinematics of Particles
2. Newton's Laws & Describing the Kinematics of Particles
3
3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames
3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames
4
4. Movement of a Particle in Circular Motion w/ Polar Coordinates
4. Movement of a Particle in Circular Motion w/ Polar Coordinates
5
R2. Velocity and Acceleration in Translating and Rotating Frames
R2. Velocity and Acceleration in Translating and Rotating Frames
6
5. Impulse, Torque, & Angular Momentum for a System of Particles
5. Impulse, Torque, & Angular Momentum for a System of Particles
7
6. Torque & the Time Rate of Change of Angular Momentum
6. Torque & the Time Rate of Change of Angular Momentum
8
R3. Motion in Moving Reference Frames
R3. Motion in Moving Reference Frames
9
7. Degrees of Freedom, Free Body Diagrams, & Fictitious Forces
7. Degrees of Freedom, Free Body Diagrams, & Fictitious Forces
10
8. Fictitious Forces & Rotating Mass
8. Fictitious Forces & Rotating Mass
11
R4. Free Body Diagrams
R4. Free Body Diagrams
12
9. Rotating Imbalance
9. Rotating Imbalance
13
10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies
10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies
14
R5. Equations of Motion
R5. Equations of Motion
15
11. Mass Moment of Inertia of Rigid Bodies
11. Mass Moment of Inertia of Rigid Bodies
16
12. Problem Solving Methods for Rotating Rigid Bodies
12. Problem Solving Methods for Rotating Rigid Bodies
17
R6. Angular Momentum and Torque
R6. Angular Momentum and Torque
18
13. Four Classes of Problems With Rotational Motion
13. Four Classes of Problems With Rotational Motion
19
14. More Complex Rotational Problems & Their Equations of Motion
14. More Complex Rotational Problems & Their Equations of Motion
20
R7. Cart and Pendulum, Direct Method
R7. Cart and Pendulum, Direct Method
21
Notation Systems
Notation Systems
22
15. Introduction to Lagrange With Examples
15. Introduction to Lagrange With Examples
23
R8. Cart and Pendulum, Lagrange Method
R8. Cart and Pendulum, Lagrange Method
24
16. Kinematic Approach to Finding Generalized Forces
16. Kinematic Approach to Finding Generalized Forces
25
17. Practice Finding EOM Using Lagrange Equations
17. Practice Finding EOM Using Lagrange Equations
26
R9. Generalized Forces
R9. Generalized Forces
27
18. Quiz Review From Optional Problem Set 8
18. Quiz Review From Optional Problem Set 8
28
19. Introduction to Mechanical Vibration
19. Introduction to Mechanical Vibration
29
20. Linear System Modeling a Single Degree of Freedom Oscillator
20. Linear System Modeling a Single Degree of Freedom Oscillator
30
21. Vibration Isolation
21. Vibration Isolation
31
22. Finding Natural Frequencies & Mode Shapes of a 2 DOF System
22. Finding Natural Frequencies & Mode Shapes of a 2 DOF System
32
R10. Steady State Dynamics
R10. Steady State Dynamics
33
23. Vibration by Mode Superposition
23. Vibration by Mode Superposition
34
24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
35
R11. Double Pendulum System
R11. Double Pendulum System
36
25. Modal Analysis: Response to IC's and to Harmonic Forces
25. Modal Analysis: Response to IC's and to Harmonic Forces
37
26. Response of 2-DOF Systems by the Use of Transfer Functions
26. Response of 2-DOF Systems by the Use of Transfer Functions
38
27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.
27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.
39
R12. Modal Analysis of a Double Pendulum System
R12. Modal Analysis of a Double Pendulum System