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Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion · LearnSpace
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Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion

Курс от Georgia Institute of Technology
Уровень не указан≈ 18.3 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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. --------------------------- 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. --------------------------- 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. --------------------------- 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.

Навыки, которые вы освоите

MechanicsEngineering CalculationsMechanical EngineeringEngineering AnalysisEngineeringPhysicsIntegral CalculusDerivativesApplied MathematicsTorque (Physics)Differential EquationsTrigonometryAdvanced MathematicsStructural AnalysisCalculus

Программа курса

6 модулей · 100 учебных материалов

01Course Introduction; Angular Velocity; Angular Acceleration20 материалов

Course Introduction; Angular Velocity; Angular Acceleration

SyllabusЧтениеConsent FormЧтениеCourse IntroductionВидеоPdf version of Course Introduction LectureЧтение

Учитесь у экспертов

Dr. Wayne Whiteman, PE

Senior Academic Professional

Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion
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Обучение на Coursera

≈ 18.3 ч

6 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Вьетнамский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

Часть программы вашего университета
Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D MotionВидео
Pdf version Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion LectureЧтение
Module 3: Define the Properties of Angular Velocity for 3D MotionВидео
Pdf version of Module 3: Define the Properties of Angular Velocity for 3D Motion LectureЧтение
Module 4: Solve for the Angular Velocity of a body undergoing 3D MotionВидео
Pdf version of Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion LectureЧтение
Worksheet Solutions: Solve for the Angular Velocity of a Body Undergoing 3D MotionЧтение
Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference FrameВидео
Pdf version of Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame LectureЧтение
Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference FramesВидео
Pdf version of Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames LectureЧтение
Worksheet Solutions: Solve for the Angular Acceleration for a Body Expressed in a Series of Multiple Reference FramesЧтение
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Quiz

Practice ProblemsЧтениеCourse Introduction; Angular Velocity; Angular AccelerationЗаданиеSolution of Quiz 1Чтение
02Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame18 материалов

Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame

Module 7: Velocities expressed in Moving Frames of ReferenceВидеоPdf version of Module 7: Velocities expressed in Moving Frames of Reference LectureЧтениеModule 8: Solve for Velocities Expressed in Moving Frames of ReferenceВидеоPdf version of Module 8: Solve for Velocities Expressed in Moving Frames of Reference LectureЧтениеWorksheet Solutions: Solve for Velocities Expressed in Moving Frames of ReferenceЧтениеModule 9: Accelerations expressed in Moving Frames of ReferenceВидеоPdf version of Module 9: Accelerations expressed in Moving Frames of Reference LectureЧтениеModule 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of ReferenceВидеоPdf version of Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference LectureЧтениеWorksheet Solutions: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of ReferenceЧтениеModule 11: Equations of Motion for a Particle Moving Close to the EarthВидеоPdf version of Module 11: Equations of Motion for a Particle Moving Close to the Earth LectureЧтениеModule 12: Solve a Problem for the Motion of Particles Moving Close to the EarthВидеоPdf version of Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth LectureЧтениеEarn a Georgia Tech Badge/Certificate/CEUsЧтение

Quiz

Practice ProblemsЧтениеVelocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving FrameЗаданиеSolution of Quiz 2Чтение
03Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies19 материалов

Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies

Module 13: Eulerian Angles for 3D Rotational MotionВидеоPdf version of Module 13: Eulerian Angles for 3D Rotational Motion LectureЧтениеModule 14: Angular Velocity of Bodies in 3D Motion using Eulerian AnglesВидеоPdf version of Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles LectureЧтениеModule 15: Derive Rotational Transformation MatricesВидеоPdf version of Module 15: Derive Rotational Transformation Matrices LectureЧтениеModule 16: Solve a Problem Using Rotational Transformation MatricesВидеоPdf version of Module 16: Solve a Problem Using Rotational Transformation Matrices LectureЧтениеModule 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for BodiesВидеоPdf version of Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies LectureЧтениеModule 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for BodiesВидеоPdf version of Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies LectureЧтениеModule 19: Angular Momentum for Bodies in 3D MotionВидеоPdf version of Module 19: Angular Momentum for Bodies in 3D Motion LectureЧтениеModule 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property MatrixВидеоPdf version of Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix LectureЧтение

Quiz

Practice ProblemsЧтениеEulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D BodiesЗаданиеSolution of Quiz 3Чтение
04Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia16 материалов

Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia

Module 21: Translational Transformation of Inertial PropertiesВидеоPdf version of Module 21: Translational Transformation of Inertial Properties LectureЧтениеModule 22: Rotational Transformation of Inertial PropertiesВидеоPdf Version of Module 22: Rotational Transformation of Inertial Properties LectureЧтениеModule 23: Rotational Transformation of Inertial Properties (cont)ВидеоPdf Version of Module 23: Rotational Transformation of Inertial Properties (cont) LectureЧтениеModule 24: Define Principal Axes and Principal Moments of InertiaВидеоPdf Version of Module 24: Define Principal Axes and Principal Moments of Inertia LectureЧтениеModule 25: Determine Principal Axes and Principal Moments of InertiaВидеоPdf Version of Module 25 Determine Principal Axes and Principal Moments of Inertia LectureЧтениеModule 26: Solve for Principal Axes and Principal Moments of Inertia with an ExampleВидеоPdf Version of Module 26: Solve for Principal Axes and Principal Moments of Inertia LectureЧтениеWorksheet Solutions: Solve for Principal Axes and Principal Moments of Inertia with an ExampleЧтение

Quiz

Practice ProblemsЧтениеTranslational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.ЗаданиеSolution of Quiz 4Чтение
05Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)14 материалов

Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)

Module 27: Develop Euler Equations for 3D MotionВидеоPdf Version of Module 27: Develop Euler Equations for 3D Motion LectureЧтениеModule 28: Develop Euler Equations for 3D Motion (cont.)ВидеоPdf Version of Module 28: Develop Euler Equations for 3D Motion (cont.) LectureЧтениеModule 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational MotionВидеоPdf Version of Module 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion LectureЧтениеModule 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)ВидеоPdf Version of Module 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion LectureЧтениеModule 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)ВидеоPdf Version of Module 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion LectureЧтениеWorksheet Solutions: Solve for the Motion of a Rigid Body Undergoing 3D Rotational MotionЧтение

Quiz

Practice ProblemsЧтениеMotion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)ЗаданиеSolution of Quiz 5Чтение
063D Impulse-Momentum Principles; 3D Work-Energy Principles13 материалов

3D Impulse-Momentum Principles; 3D Work-Energy Principles

Module 32: Develop and Apply the Principle of Impulse-Momentum to Rigid Bodies Undergoing MotionВидеоPdf Version of Module 32: Develop and Apply the Principle of Impulse-Momentum to Rigid Bodies Undergoing Motion LectureЧтениеModule 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body MotionВидеоPdf Version of Module 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body Motion LectureЧтениеModule 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body MotionВидеоPdf Version of Module 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion LectureЧтениеWorksheet Solutions: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body MotionЧтениеModule 35: Course ConclusionВидеоPdf Version of Module 35: Course Conclusion LectureЧтениеWhere to go from here?Чтение

Quiz

Practice ProblemsЧтение3D Impulse-Momentum Principles; 3D Work-Energy PrinciplesЗаданиеSolution of Quiz 6Чтение