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教学大纲


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灯号说明

审定:无
翻译:陈思源 yongjiang Chen(简介并寄信)
编辑:陈盈(简介并寄信)


讲师:

Jonathan P. How 教授
John Deyst 教授


课程目标

  1. 1复习牛顿动力学的基础。
    • 焦距在三维运动上
    • 回旋动力学和转动动力学
    • 处理坐标变化的正式步骤

  2. 2.拉格朗日陈述的运动方程
  3. 3.航天器飞行动力学和稳定性的分析
  4. 4.太空船飞行姿态动力学的分析


管理

  1. 1. 复习牛顿动力学大概需要6节课(演讲课程)
  2. 2. 拉格朗日动力学大概需要6节课
  3. 3. 三维空间内刚性物体的运动大概需要6节课
  4. 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:
  1. Meriam and Kraige. 机械工程学—动力学 Wiley, 2001.
  2. Hibbeler. 机械工程学—静力学和动力学 Prentice Hall.
  3. Beer and Johnston. 工程向量机械学. McGraw-Hill.
  4. Greenwood. 动力学原理. 2nd ed. Prentice Hall [RB dynamics].
  5. Williams, Jr. 应用动力学的基本原理. Wiley, 1996.
  6. Baruh. 解析动力学 McGraw Hill [相当的高级].
  7. Wells. 拉格朗日动力学大纲. McGraw-Hill, 1967.
  8. 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:

  1. 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.
  2. 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。
  3. 3. 用牛顿和拉格朗日的公式来解决和阐述运动方程式.
  4. 4. 使用基本的运动方程来计算航行器的基本飞行状态。
  5. 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:

  1. 1. 得自在加速和旋转的结构下的运动方程式。
  2. 2. 用牛顿和拉格朗日的公式来解决运动方程式。
  3. 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。
  4. 4. 使用 MATLAB®, 如一个工具对于矩阵操作和动力学模拟。
  5. 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

  1. Review of the basic Newtonian dynamics
    • Focus on 3D motion
    • Gyroscopic and rotational dynamics
    • Formal approaches for handling coordinate transformations

  2. Lagrangian formulation of the equations of motion
  3. Analysis of aircraft flight dynamics and stability
  4. Analysis of spacecraft attitude dynamics


Administrative

  1. Review of Newtonian dynamics ≈ 6 lectures
  2. Lagrangian dynamics ≈ 6 lectures
  3. Rigid body motions in 3D ≈ 6 lectures
  4. 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:
  1. Meriam and Kraige. Engineering Mechanics - Dynamics. Wiley, 2001.
  2. Hibbeler. Engineering Mechanics - Statics and Dynamics. Prentice Hall.
  3. Beer and Johnston. Vector Mechanics for Engineers. McGraw-Hill.
  4. Greenwood. Principles of Dynamics. 2nd ed. Prentice Hall [RB dynamics].
  5. Williams, Jr. Fundamentals of Applied Dynamics. Wiley, 1996.
  6. Baruh. Analytical Dynamics. McGraw Hill [fairly advanced].
  7. Wells. Schaum's Outline of Lagrangian Dynamics. McGraw-Hill, 1967.
  8. Goldstein. Classical Mechanics. 2nd ed. Addison Wesley [very advanced].


Learning Objectives for Students Graduating from 16.61 will be Able to:

  1. Use methods of vector kinematics to analyze the translation and rotation of rigid bodies - and explain with appropriate visualizations.
  2. Identify appropriate coordinate frames and calculate the transformations between them.
  3. Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
  4. Use the basic equations of motion to calculate the fundamental flight modes of an aircraft.
  5. 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:

  1. Derive the equations of motion in accelerating and rotating frames.
  2. Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
  3. Simulate and predict complex dynamic behavior of vehicles such as projectiles, aircraft, and spacecraft.
  4. Use MATLAB® as a tool for matrix manipulations and dynamic simulation.
  5. 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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