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課程名稱 |
動力學
Dynamics |
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開課學期 |
103-2 |
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授課對象 |
工學院 應用力學研究所 |
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授課教師 |
王立昇 |
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課號 |
AM7021 |
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課程識別碼 |
543EM4010 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期二3,4(10:20~12:10)星期四3(10:20~11:10) |
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上課地點 |
應233應233 |
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備註 |
本課程以英語授課。
總人數上限：54人 |
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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 |
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課程大綱
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課程概述 |
This course is intended to familiarize the students with the basic concepts, principles and methods of dynamics at the intermediate level. It is a self-contained course open to senior undergraduate and graduate students in all fields of science and engineering. Prerequisites are calculus, engineering mathematics (vector, matrix and ordinary differential equations) and a course on dynamics at first level |
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課程目標 |
Outline:
A. Dynamics of Particles
Space and time, Euclidean Space and Tensors, Kinematics and Newton’s Laws of a Particle, Motion of a System of Particles, The Pendulum Problem, Motion in a Central Force Field, Dynamics of a Particle in a Moving Frame of Reference, System of Variable Masses
B. Dynamics of Rigid Bodies
Conservation of Mass, Euler’s Postulates and Balance Laws of Linear and Angular Momentum, Kinematics of Rigid Bodies and Finite Rotation, Moment of Inertia and Kinetics for Rigid Bodies, Sticking, Sliding and Rolling of Rigid Bodies, Gyroscopic Motion, Collisions of Rigid Bodies
C. Principles of Mechanics
Principle of Virtual Work, D’Alembert’s Principle, Lagrangian Equations for Holonomic and Non-Holonomic Systems, Stability, Gibbs-Appell Equations, Appell-Kane Method, Spinning Top, Dumbbell Satellite Motion.
D. Hamiltonian Dynamics
Hamilton’s Principle, Legendre Transformation, Hamiltonian Equations and Conservation Laws. Canonical Transformation.
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
待補 |
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參考書目 |
1. Classnotes
2. A. L. Fetter & J. D. Walecka, Theoretical Mechanics of Particles and Continua, McGraw-Hill, New York, 1980.
3. H. Goldstein, Classical Mechanics, Addison & Wesley, Reading, 1980.
4. B. Lindsay & S. Margenau, Foundations of Physics, Ox Bow Press, Woodbridge, 1981.
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Midterm |
40% |
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2. |
Final |
50% |
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3. |
Homework |
10% |
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