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講師:
Jonathan P. How 教授
John Deyst 教授
課程目標
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復習牛頓動力學的基礎。
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著重三維運動上
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迴旋動力學和轉動動力學
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處理座標變化的正式方法
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拉格朗日陳述的運動方程
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航天器飛行動力學和穩定性的分析
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太空載具姿態動力學的分析
課程管理
- 復習牛頓動力學大概需要6節課
- 拉格朗日動力學大概需要6節課
- 三維空間內剛性物體的運動大概需要6節課
- 航天器/太空船動力學大約需要6節課
- 期中考試#1將在第6次課堂結束之後進行,時間為1小時,考試成績約占期末總成績的15%。
- 期中考試#2將在第14次課堂結束之後在進行,時間為1小時,考試成績約占期末總成績的20%。
- 期末考試將在學期結束後進行,這次考試約占期末總成績的30%。
- 作業-在每週四發下,隔週上課前交,全部作業約占期末總成績的35%。
在上課的時候交或者放在我的辦公室,作業合作:你可以和其他同學一起討論,
但是不允許抄襲,且繳交自己的作業。
- 你將會需要用到MATLAB®。(一種非常不錯的矩陣計算的軟體)
課本
不是必須的,課堂講稿將會在上課的時候發,下面列出一些相關的參考書籍:
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Meriam 和 Kraige. 《工程力學-動力學》。Wiley, 2001.
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Hibbele 《工程力學-靜力學和動力學》 Prentice Hall.
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Beer 和 Johnston. 《工程向量力學》 McGraw-Hill
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Greenwood, 《動力學原理》,第二版. Prentice Hall [RB dynamics]
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Williams, Jr. 《應用動力學的基本原理》. Wiley,1996.
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Baruh. 《解析動力學》. McGraw Hill [相當的高級]
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Wells. 《拉格朗日動力學大綱》. McGraw Hill, 1967
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Goldstein. 《古典機械學》,第二版. Addison Wesley [非常高級]
課程16.61的目標是:
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使用向量運動學的方法分析剛性物體的轉換和旋轉 - 並且利用適當形象加以解釋.
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識別適當的同座標系並且能夠計算他們之間的轉換。
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用牛頓和拉格朗日的公式來解決和闡述運動方程式.
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使用基本的運動方程來計算航行器的基本飛行狀態。
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使用基本的運動方程來計算低地球軌道太空船的運動姿態。
16.61這門課程可見的學習成果將是:
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得出加速和旋轉的結構下的運動方程式。
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用牛頓和拉格朗日的公式來解決運動方程式。
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模擬並且預測交通工具的複雜的動態行為,例如射彈、飛機、太空梭。
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使用 MATLAB®作為矩陣操作和動力學模擬的工具。
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將和多數動力行為相關的6DOF運動線性化,來建立運動的基本模式。
MATLAB®為The MathWorks, Inc.的註冊商標。
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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