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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/motion-and-kinetics
课程评论：没有评论
课程名称：高级工程系统运动：三维运动的动力学 课程概述： 本课程为工程系统与结构中运动体的高级研究，重点探讨刚体在三维运动中的动力学。课程内容将涵盖运动的运动学与动力学。运动学关注运动的几何特征，描述位置、速度和加速度随时间的变化；而动力学则研究作用于这些物体的力以及它们如何影响运动。 推荐背景： 参与本课程的学员需掌握基本的工程力学概念，并成功完成前一课程《工程系统运动：二维粒子与刚体的动力学》。本课程将应用在这些课程中所学的许多基本工程原理，因此，具备相关技能对学习本课程至关重要。 建议阅读： 本课程没有指定教材，但建议学员可以参考任何标准的工程动力学教材，以便于完成额外的练习问题，从而增强对课程内容的理解和学习。 版权声明： 本课程的所有内容和材料版权归乔治亚理工学院研究公司或韦恩·怀特曼博士所有。参与课程或使用本课程的内容和材料（无论是全部或部分），均表明您同意仅用于个人非商业用途，符合任何学术课程的学生使用方式。未经乔治亚理工学院研究公司的书面授权，禁止将内容和材料用于其他学术机构或实体。如需获取非独占许可的程序信息，请直接联系韦恩·怀特曼博士。 课程大纲： 第一部分：课程介绍；角速度；角加速度 本节将学习推导“导数公式”，定义三维运动中的角速度，并学习如何求解物体的角加速度。 第二部分：运动参考系中的速度；运动参考系中的加速度；地球作为运动参考系 本节将介绍运动参考系中的速度和加速度，以及将地球作为运动参考系的相关知识。 第三部分：欧拉角；欧拉角旋转矩阵；三维角动量；三维物体的惯性特性 本节将学习欧拉角旋转矩阵、三维角动量及三维物体的惯性特性。 第四部分：惯性特性的平移与旋转变换；主轴与主惯性矩 本节将探讨惯性特性的平移与旋转变换，以及主轴和主惯性矩的相关内容。 第五部分：刚体三维旋转运动的运动方程（欧拉方程） 本节将开发三维运动的欧拉方程，并求解进行三维旋转运动的刚体的运动。 第六部分：三维冲量-动量原理；三维功-能原理 本节将学习三维冲量-动量原理及三维功-能原理的开发与应用。
Part: 1
Title:Course Introduction; Angular Velocity; Angular Acceleration
Description: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.
Part: 2
Title:Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
Description:In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame.
Part: 3
Title:Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
Description:In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies.
Part: 4
Title:Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
Description:In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia.
Part: 5
Title:Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
Description:In this section students will learn to develop Euler Equations for 3d motion and solve for the motion of a rigid body undergoing 3D rotational motion.
Part: 6
Title:3D Impulse-Momentum Principles; 3D Work-Energy Principles
Description:In this section students will learn to develop and apply the principle of impulse-momentum and about 3D work-energy principles.
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.
