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讲师:
Jonathan P. How 教授
John Deyst 教授
课程目标
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1复习牛顿动力学的基础。
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焦距在三维运动上
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回旋动力学和转动动力学
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处理坐标变化的正式步骤
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2.拉格朗日陈述的运动方程
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3.航天器飞行动力学和稳定性的分析
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4.太空船飞行姿态动力学的分析
管理
- 1. 复习牛顿动力学大概需要6节课(演讲课程)
- 2. 拉格朗日动力学大概需要6节课
- 3. 三维空间内刚性物体的运动大概需要6节课
- 4. 航天器/太空船动力学大约需要6节课
- 期中考试#1将在第6次演讲结束之后在班上进行,时间为1小时,考试成绩约占期末总成绩的15%。
- 期中考试#2将在第14次演讲结束之后在班上进行,时间为1小时,考试成绩约占期末总成绩的20%。
- 期末考试将在学期的最后进行,这次考试约占期末总成绩的30%。
- 作业—在每周四开始上课的时候交,全部作业约占期末总成绩的35%。
在上课的时候交或者放在我的办公室,协作:你可以和其他同学一起讨论,但是不允许抄袭。
- 你将会需要用到MATLAB®。 (一种非常不错的矩阵计算的软件)
课本
不是必须的,演讲笔记将会在上课的时候发,下面列出一些相关的参考书籍:
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Meriam and Kraige. 机械工程学—动力学 Wiley, 2001.
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Hibbeler. 机械工程学—静力学和动力学 Prentice Hall.
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Beer and Johnston. 工程向量机械学. McGraw-Hill.
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Greenwood. 动力学原理. 2nd ed. Prentice Hall [RB dynamics].
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Williams, Jr. 应用动力学的基本原理. Wiley, 1996.
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Baruh. 解析动力学 McGraw Hill [相当的高级].
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Wells. 拉格朗日动力学大纲. McGraw-Hill, 1967.
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Goldstein. 古典机械学 2nd ed. Addison Wesley [非常高级].
同学们16.61这门课程的结业目标将是:
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1. 使用矢量运动学的方法分析刚性物体的转换和旋转 – 并且可以进行清楚的解释.
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2. 识别适当的同等物体的结构并且能够计算在他们之间的变换。
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3. 用牛顿和拉格朗日的公式来解决和阐述运动方程式.
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4. 使用基本的运动方程来计算航行器的基本飞行状态。
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5. 使用基本的运动方程来计算低地球轨道太空船的运动姿态。
同学们16.61这门课程的可测量结果将是:
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1. 得自在加速和旋转的结构下的运动方程式。
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2. 用牛顿和拉格朗日的公式来解决运动方程式。
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3. 模拟并且预测交通工具的复杂的动态行为,例如喷射火箭,航天飞机。
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4. 使用 MATLAB®, 如一个工具对于矩阵操作和动力学模拟。
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5. 使6DOF运动线性化来联系大多数的动态行为来建立运动的基本 形态。
MATLAB®为The MathWorks, Inc.的注册商标。
Instructors
Prof. Jonathan P. How
Prof. John Deyst
Course Objectives
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Review of the basic Newtonian dynamics
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Lagrangian formulation of the equations of motion
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Analysis of aircraft flight dynamics and stability
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Analysis of spacecraft attitude dynamics
Administrative
- Review of Newtonian dynamics ≈ 6 lectures
- Lagrangian dynamics ≈ 6 lectures
- Rigid body motions in 3D ≈ 6 lectures
- Aircraft/spacecraft dynamics ≈ 6 lectures
- Midterm exam #1 in class (1 hour) after Lecture 6 (15%)
- Midterm exam #2 in class (1 hour) after Lecture 14 (20%)
- Final exam at the end of the semester (30%)
- Homework - Out Thursdays, due following Thursday at beginning of class (35%)
Hand-in in class or drop-off at my office. Collaboration: You can discuss problems
with others, but you are expected to write up and hand in your own work.
- You will definitely need access to MATLAB®
Textbooks
None required. Lecture notes will be handed out in class. But various books available for reference are:
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Meriam and Kraige. Engineering Mechanics - Dynamics. Wiley, 2001.
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Hibbeler. Engineering Mechanics - Statics and Dynamics. Prentice Hall.
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Beer and Johnston. Vector Mechanics for Engineers. McGraw-Hill.
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Greenwood. Principles of Dynamics. 2nd ed. Prentice Hall [RB dynamics].
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Williams, Jr. Fundamentals of Applied Dynamics. Wiley, 1996.
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Baruh. Analytical Dynamics. McGraw Hill [fairly advanced].
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Wells. Schaum's Outline of Lagrangian Dynamics. McGraw-Hill, 1967.
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Goldstein. Classical Mechanics. 2nd ed. Addison Wesley [very advanced].
Learning Objectives for Students Graduating from 16.61 will be Able to:
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Use methods of vector kinematics to analyze the translation and rotation of rigid bodies - and explain with appropriate visualizations.
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Identify appropriate coordinate frames and calculate the transformations between them.
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Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
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Use the basic equations of motion to calculate the fundamental flight modes of an aircraft.
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Use the basic equations of motion to calculate the attitude motions of a low Earth orbit spacecraft.
Measurable Outcomes for Students Graduating from 16.61 will be Able to:
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Derive the equations of motion in accelerating and rotating frames.
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Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
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Simulate and predict complex dynamic behavior of vehicles such as projectiles, aircraft, and spacecraft.
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Use MATLAB® as a tool for matrix manipulations and dynamic simulation.
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Linearize the 6DOF motions associated with most dynamic behavior to establish the basic modes of the motion.
MATLAB® is a trademark of The MathWorks, Inc.
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