Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion
提供方
Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion
Georgia Institute of Technology
课程信息
4.8
129 个评分
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.
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Recommended Background:
To be successful in the course you will need to have mastered basic engineering mechanics concepts and to have successfully completed my course entitled Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion.” We will apply many of the engineering fundamentals learned in those classes and you will need those skills before attempting this course.
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Suggested Readings:
While no specific textbook is required, this course is designed to be compatible with any standard engineering dynamics textbook. You will find a book like this useful as a reference and for completing additional practice problems to enhance your learning of the material.
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The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. Wayne Whiteman. By participating in the course or using the content or materials, whether in whole or in part, you agree that you may download and use any content and/or material in this course for your own personal, non-commercial use only in a manner consistent with a student of any academic course. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. Interested parties may contact Dr. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license.
教学大纲 - 您将从这门课程中学到什么
Week
1Course 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.
6 个视频（共 53 分钟）, 13 个阅读材料, 1 个测验
6 个视频
Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion12分钟
Module 3: Define the Properties of Angular Velocity for 3D Motion5分钟
Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion10分钟
Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame8分钟
Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames10分钟
13 个阅读材料
Syllabus10分钟
Consent Form10分钟
Pdf version of Course Introduction Lecture10分钟
Pdf version Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion Lecture10分钟
Pdf version of Module 3: Define the Properties of Angular Velocity for 3D Motion Lecture10分钟
Pdf version of Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion Lecture10分钟
Worksheet Solutions: Solve for the Angular Velocity of a Body Undergoing 3D Motion10分钟
Pdf version of Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame Lecture10分钟
Pdf version of Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames Lecture10分钟
Worksheet Solutions: Solve for the Angular Acceleration for a Body Expressed in a Series of Multiple Reference Frames10分钟
Get More from Georgia Tech10分钟
Practice Problems10分钟
Solution of Quiz 110分钟
1 个练习
Course Introduction; Angular Velocity; Angular Acceleration6分钟
Week
2Velocities 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.
6 个视频（共 64 分钟）, 11 个阅读材料, 1 个测验
6 个视频
Module 8: Solve for Velocities Expressed in Moving Frames of Reference10分钟
Module 9: Accelerations expressed in Moving Frames of Reference10分钟
Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference12分钟
Module 11: Equations of Motion for a Particle Moving Close to the Earth12分钟
Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth6分钟
11 个阅读材料
Pdf version of Module 7: Velocities expressed in Moving Frames of Reference Lecture10分钟
Pdf version of Module 8: Solve for Velocities Expressed in Moving Frames of Reference Lecture10分钟
Worksheet Solutions: Solve for Velocities Expressed in Moving Frames of Reference10分钟
Pdf version of Module 9: Accelerations expressed in Moving Frames of Reference Lecture10分钟
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分钟
Worksheet Solutions: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference10分钟
Pdf version of Module 11: Equations of Motion for a Particle Moving Close to the Earth Lecture10分钟
Pdf version of Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth Lecture10分钟
Earn a Georgia Tech Badge/Certificate/CEUs10分钟
Practice Problems10分钟
Solution of Quiz 210分钟
1 个练习
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame6分钟
Week
3Eulerian 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.
8 个视频（共 70 分钟）, 10 个阅读材料, 1 个测验
8 个视频
Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles6分钟
Module 15: Derive Rotational Transformation Matrices6分钟
Module 16: Solve a Problem Using Rotational Transformation Matrices7分钟
Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies10分钟
Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies7分钟
Module 19: Angular Momentum for Bodies in 3D Motion12分钟
Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix11分钟
10 个阅读材料
Pdf version of Module 13: Eulerian Angles for 3D Rotational Motion Lecture10分钟
Pdf version of Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles Lecture10分钟
Pdf version of Module 15: Derive Rotational Transformation Matrices Lecture10分钟
Pdf version of Module 16: Solve a Problem Using Rotational Transformation Matrices Lecture10分钟
Pdf version of Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies Lecture10分钟
Pdf version of Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies Lecture10分钟
Pdf version of Module 19: Angular Momentum for Bodies in 3D Motion Lecture10分钟
Pdf version of Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix Lecture10分钟
Practice Problems10分钟
Solution of Quiz 310分钟
1 个练习
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies6分钟
Week
4Translational 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.
6 个视频（共 47 分钟）, 9 个阅读材料, 1 个测验
6 个视频
Module 22: Rotational Transformation of Inertial Properties4分钟
Module 23: Rotational Transformation of Inertial Properties (cont)8分钟
Module 24: Define Principal Axes and Principal Moments of Inertia4分钟
Module 25: Determine Principal Axes and Principal Moments of Inertia10分钟
Module 26: Solve for Principal Axes and Principal Moments of Inertia with an Example11分钟
9 个阅读材料
Pdf version of Module 21: Translational Transformation of Inertial Properties Lecture10分钟
Pdf Version of Module 22: Rotational Transformation of Inertial Properties Lecture10分钟
Pdf Version of Module 23: Rotational Transformation of Inertial Properties (cont) Lecture10分钟
Pdf Version of Module 24: Define Principal Axes and Principal Moments of Inertia Lecture10分钟
Pdf Version of Module 25 Determine Principal Axes and Principal Moments of Inertia Lecture10分钟
Pdf Version of Module 26: Solve for Principal Axes and Principal Moments of Inertia Lecture10分钟
Worksheet Solutions: Solve for Principal Axes and Principal Moments of Inertia with an Example10分钟
Practice Problems10分钟
Solution of Quiz 410分钟
1 个练习
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.6分钟
4.8
热门审阅
创建者 AC•Nov 24th 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.
创建者 RA•Feb 13th 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.
讲师
Dr. Wayne Whiteman, PE
Senior Academic ProfessionalWoodruff School of Mechanical Engineering
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