This course is an advanced study of bodies in motion as applied to engineering systems and structures. We will study the dynamics of rigid bodies in 3D motion. This will consist of both the kinematics and kinetics of motion. Kinematics deals with the geometrical aspects of motion describing position, velocity, and acceleration, all as a function of time. Kinetics is the study of forces acting on these bodies and how it affects their motion.
Systèmes techniques avancés de mouvement : dynamique du mouvement en trois dimensions (3D)
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Systèmes techniques avancés de mouvement : dynamique du mouvement en trois dimensions (3D)
Georgia Institute of Technology
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Approx. 9 heures pour terminer
Recommandé : 6 weeks of material; 5 to 7 hours per week work for students
Anglais
Sous-titres : Anglais
Programme du cours : ce que vous apprendrez dans ce cours
3 heures pour terminer
Course Introduction; Angular Velocity; Angular Acceleration
In this section students will learn to derive the "derivative formula." We will define angular velocity for 3D motion and learn to determine and solve for the Angular Acceleration for a body.
3 heures pour terminer
6 vidéos (Total 53 min), 13 lectures, 1 quiz
6 vidéos
Course Introduction5 min
Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion12 min
Module 3: Define the Properties of Angular Velocity for 3D Motion5 min
Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion10 min
Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame8 min
Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames10 min
13 lectures
Syllabus10 min
Consent Form10 min
Pdf version of Course Introduction Lecture10 min
Pdf version Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion Lecture10 min
Pdf version of Module 3: Define the Properties of Angular Velocity for 3D Motion Lecture10 min
Pdf version of Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion Lecture10 min
Worksheet Solutions: Solve for the Angular Velocity of a Body Undergoing 3D Motion10 min
Pdf version of Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame Lecture10 min
Pdf version of Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames Lecture10 min
Worksheet Solutions: Solve for the Angular Acceleration for a Body Expressed in a Series of Multiple Reference Frames10 min
Get More from Georgia Tech10 min
Practice Problems10 min
Solution of Quiz 110 min
1 exercice pour s'entraîner
Course Introduction; Angular Velocity; Angular Acceleration6 min
3 heures pour terminer
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame.
3 heures pour terminer
6 vidéos (Total 64 min), 11 lectures, 1 quiz
6 vidéos
Module 8: Solve for Velocities Expressed in Moving Frames of Reference10 min
Module 9: Accelerations expressed in Moving Frames of Reference10 min
Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference12 min
Module 11: Equations of Motion for a Particle Moving Close to the Earth12 min
Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth6 min
11 lectures
Pdf version of Module 7: Velocities expressed in Moving Frames of Reference Lecture10 min
Pdf version of Module 8: Solve for Velocities Expressed in Moving Frames of Reference Lecture10 min
Worksheet Solutions: Solve for Velocities Expressed in Moving Frames of Reference10 min
Pdf version of Module 9: Accelerations expressed in Moving Frames of Reference Lecture10 min
Pdf version of Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference Lecture10 min
Worksheet Solutions: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference10 min
Pdf version of Module 11: Equations of Motion for a Particle Moving Close to the Earth Lecture10 min
Pdf version of Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth Lecture10 min
Earn a Georgia Tech Badge/Certificate/CEUs10 min
Practice Problems10 min
Solution of Quiz 210 min
1 exercice pour s'entraîner
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame6 min
3 heures pour terminer
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies.
3 heures pour terminer
8 vidéos (Total 70 min), 10 lectures, 1 quiz
8 vidéos
Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles6 min
Module 15: Derive Rotational Transformation Matrices6 min
Module 16: Solve a Problem Using Rotational Transformation Matrices7 min
Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies10 min
Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies7 min
Module 19: Angular Momentum for Bodies in 3D Motion12 min
Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix11 min
10 lectures
Pdf version of Module 13: Eulerian Angles for 3D Rotational Motion Lecture10 min
Pdf version of Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles Lecture10 min
Pdf version of Module 15: Derive Rotational Transformation Matrices Lecture10 min
Pdf version of Module 16: Solve a Problem Using Rotational Transformation Matrices Lecture10 min
Pdf version of Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies Lecture10 min
Pdf version of Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies Lecture10 min
Pdf version of Module 19: Angular Momentum for Bodies in 3D Motion Lecture10 min
Pdf version of Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix Lecture10 min
Practice Problems10 min
Solution of Quiz 310 min
1 exercice pour s'entraîner
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies6 min
2 heures pour terminer
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia.
2 heures pour terminer
6 vidéos (Total 47 min), 9 lectures, 1 quiz
6 vidéos
Module 22: Rotational Transformation of Inertial Properties4 min
Module 23: Rotational Transformation of Inertial Properties (cont)8 min
Module 24: Define Principal Axes and Principal Moments of Inertia4 min
Module 25: Determine Principal Axes and Principal Moments of Inertia10 min
Module 26: Solve for Principal Axes and Principal Moments of Inertia with an Example11 min
9 lectures
Pdf version of Module 21: Translational Transformation of Inertial Properties Lecture10 min
Pdf Version of Module 22: Rotational Transformation of Inertial Properties Lecture10 min
Pdf Version of Module 23: Rotational Transformation of Inertial Properties (cont) Lecture10 min
Pdf Version of Module 24: Define Principal Axes and Principal Moments of Inertia Lecture10 min
Pdf Version of Module 25 Determine Principal Axes and Principal Moments of Inertia Lecture10 min
Pdf Version of Module 26: Solve for Principal Axes and Principal Moments of Inertia Lecture10 min
Worksheet Solutions: Solve for Principal Axes and Principal Moments of Inertia with an Example10 min
Practice Problems10 min
Solution of Quiz 410 min
1 exercice pour s'entraîner
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.6 min
Avis
4.8
Meilleurs avis pour SYSTÈMES TECHNIQUES AVANCÉS DE MOUVEMENT : DYNAMIQUE DU MOUVEMENT EN TROIS DIMENSIONS (3D)
par ACNov 23, 2016
The instructor does a fascinating job of structuring and delivering the course material. The concepts are simplified and well explained with the help of practical applications and relevance.
par RAFeb 12, 2017
It really changed my perception of viewing things around me. Dr. Whiteman is an expert at teaching mechanics. I recommend this course for all the non-circuit branches of engineering.
par MMAug 20, 2019
Thanks a lot to such a helpful platform to have access to such competent & great teachers for them who don't have so in their university but they are passionate and curios to learn
par HBJun 8, 2017
It was a great course and lecturer. I learned a lot. The best part of the course is that it shows the fundamentals and that leads us to solve the more complex problems.
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