课程概况
这是一门研究工程系统和结构领域的刚体&柔体运动的高级课程，主要学习刚体的动态三维运动，包括运动的运动学和动力学概念。运动学主要涉及运动的几何学知识，描述了时间函数中的位置、速度和加速度等要素。动力学主要研究作用于这些刚体&柔体的力及其对运动的影响。
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.
课程大纲
第一周：
课程简介
回顾 - 平面（二维）刚体运动
三维运动
- 角速度
- 角加速度
第二周：
三维运动（接上周）
- 运动参考坐标系中的速度
- 运动参考坐标系中的加速度
第三周：
三维运动（接上周）
- 欧拉角
- 旋转矩阵
- 三维中的角动量
第四周：
三维运动（接上周）
- 惯性性质的转换
- 主轴和主惯性矩
第五周：
三维动力学
- 刚体的三维转动运动
第六周：
三维动力学（接上周）
- 刚体的三维转动运动（接上周）
课程总结
预备知识
想要顺利完成学习任务，同学们需要掌握基础的工程力学概念，并选修Wayne Whiteman博士的另一门课程《运动工程系统：粒子与刚体和柔体的二维动态运动》。我们会应用很多课上学到的工程学基础知识，所以大家在选修这门课前需要具备这些技能。
参考资料
课程没有指定教材，所有工程力学的标准教材都适用。同学们可以选择这样一本书作为参考教材，并完成附加的实践问题，强化对学习资料的了解。
