課程名稱 |
動力學 Dynamics |
開課學期 |
110-2 |
授課對象 |
工學院 應用力學研究所 |
授課教師 |
林哲宇 |
課號 |
AM7021 |
課程識別碼 |
543EM4010 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期二3,4(10:20~12:10)星期四2(9:10~10:00) |
上課地點 |
應233應233 |
備註 |
本課程以英語授課。 總人數上限:54人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1102AM7021_ |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Course Description:
This Dynamics course is an example-oriented course, consisting of many examples one-by-one throughout the semester. In other words, this course will, through examples, introduce the fundamental concepts and theories about dynamics, thinking processes and techniques for solving dynamical problems, as well as computer programming techniques for simulating dynamical problems.
One of the focuses of this course is that, after solving each dynamical problem and obtaining the associated equations of motion, we will introduce computer programming techniques for simulating each dynamical problem and getting the associated animation. By using this way, students can see real, vivid pictures of dynamical problems like what we see and perceive in the real world, but not just abstract mathematical equations. The goal of the dynamics discipline, after all, is to understand how to apply mechanics and mathematics to describe moving objects in the universe, all of which have real and vivid pictures. Therefore, through computer simulations, students not only can get real and vivid pictures as well as better feelings for dynamics, but also can learn techniques of using computer programming to solve engineering problems.
The examples in this course involve dynamical problems in particle dynamics, rigid body dynamics, Lagrange’s equations and Hamilton’s principle. However, please note that, this course will not cover topics about quantum dynamics and quantum effects, and will only study the motion of objects that are large enough to be seen by naked eyes.
課程概述:
本動力學課程是由一個一個的範例組成。換句話說,本課程將藉由一個一個的範例來學習動力學的種種,包括基本原理和觀念、問題的思考方式和解題技術、寫電腦程式做電腦模擬等。
本課程的一個特色在於,在解完每一個範例、得到代表該問題的數學方程式後,將會寫電腦程式做電腦模擬,讓我們得以用肉眼實實在在地看到那個動力學問題的畫面,而不是只是一條虛無的數學方程式而已。畢竟,動力學這門學問,是學習如何用力學、數學來描述宇宙中一切會動的現象,都是有實實在在的畫面。因此透過寫電腦程式做電腦模擬,能夠讓我們對動力學原理和觀念更有畫面、更有感覺,也能透過這個過程學習到寫電腦程式解答工程問題的技術。
每一個範例之間不一定有關聯性,但整個課程的範例,涵蓋的動力學範疇有:質點動力學、剛體動力學、Lagrange's equations、Hamilton's principle。
雖然動力學這門學問是學習如何用力學、數學來描述宇宙中一切會動的現象,但本課程的動力學範例都屬於巨觀動力學,不會牽涉到量子力學。
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課程目標 |
Course Objective:
Understand the fundamental concepts and theories about dynamics, thinking processes and techniques for solving dynamical problems, as well as computer programming techniques for simulating dynamical problem through examples.
課程目標:
藉由一個一個的範例來學習動力學的種種,包括基本原理和觀念、問題的思考方式和解題技術、寫電腦程式做電腦模擬等。
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課程要求 |
Prerequisite courses:
calculus, engineering mathematics and fundamentals of physics
課程要求:
修習本課程建議需要具備的基本能力:微積分、工程數學、基礎物理
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註: Office hours:
Discuss with the lecturer after the course, or send an email to the lecturer to arrange a time to discuss
面談時間:
下課後直接和老師討論,或寄email和老師約討論時間 |
指定閱讀 |
Designated Reading:
Lecture notes presented in the course, as well as the designated readings
指定閱讀:
上課的筆記,以及老師指定的閱讀資料
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參考書目 |
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評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
期中考一 (midterm exam 1) |
30% |
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2. |
期中考二 (midterm exam 2) |
30% |
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3. |
期末考 (final exam) |
40% |
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週次 |
日期 |
單元主題 |
第1週 |
2/15,2/17 |
Fundamental concepts of Dynamics and Newton's second law |
第2週 |
2/22,2/24 |
Fundamental concepts of Dynamics and Newton's second law |
第3週 |
3/01,3/03 |
Example 1: Projectile motion of a particle |
第4週 |
3/08,3/10 |
Example 2: Projectile motion of a rod |
第5週 |
3/15,3/17 |
Example 3: Motion of a bouncing ball |
第6週 |
3/22,3/24 |
Example 4: Motion of a wheel rolling down an inclined plane |
第7週 |
3/29,3/31 |
Midterm 1 |
第8週 |
4/05,4/07 |
Example 5: Single pendulum |
第9週 |
4/12,4/14 |
Example 6: Double pendulum |
第10週 |
4/19,4/21 |
Example 7: Motion of a spacecraft |
第11週 |
4/26,4/28 |
Example 8: Motion of a comet |
第12週 |
5/03,5/05 |
Example 9: Modeling of collisions |
第13週 |
5/10,5/12 |
Midterm 2 |
第14週 |
5/17,5/19 |
Example 10: Mechanisms and robots No. 1 |
第15週 |
5/24,5/26 |
Example 11: Mechanisms and robots No. 2 |
第16週 |
5/31,6/02 |
Example 12: Mechanisms and robots No. 3 |
第17週 |
6/07,6/09 |
Example 13: Mechanisms and robots No. 4 |
第18週 |
6/14,6/16 |
Final exam |
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