教學大綱表 Syllabus
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課程名稱
Course Title
(中文) 振動學
(英文) Mechanical Vibrations
開課單位
Departments
機械與材料工程學系
課程代碼
Course No.
M3400
授課教師
Instructor
陳永裕
學分數
Credit
3.0 必/選修
core required/optional
選修 開課年級
Level
大三
先修科目或先備能力Course Pre-requisites:
課程概述與目標 Course Overview and Goals:振動學課程內容含前言、單自由度系統自由振動、簡協外力強迫振動及不具週期性質外力強迫振動、兩自由度系統自由與強迫振動、多自由度系統自由與強迫振動、連續體振動、系統阻尼效應等,旨在使學生了解振動原理、自然頻率、振形及系統反應之演算法。
教科書
Textbook
S. S. Rao, Mechanical Vibrations, Sixth Edition in SI Units, Pearson Education Limited, 2011.
參考教材
Reference
課程大綱
Syllabus
學生學習目標
Learning Objectives
單元學習活動
Learning Activities
學習成效評量
Evaluation
備註
Notes

Week
單元主題
Unit topic
內容綱要
Content summary
1 Fundamentals of Vibration 1. Basic Concepts of Vibration
2. Spring Elements
3. Mass Elements
4. Damping Elements
系統元件
  • 講授
  •  
    2 Free Vibration of an Undamped Translational System 1. Free Vibration of an Undamped Torsional System
    2. Response of First Order Systems and Time Constant
    3. Rayleigh’s Energy Method
    使學生了解無阻尼振動系統之原理、計算與應用
  • 講授
  • 作業Assignment
  •  
    3 Free Vibration with Viscous Damping 1. Equation of Motion
    2. Solution
    3. Logarithmic Decrement
    4. Energy Dissipated in Viscous Damping
    使學生了解有阻尼振動系統之原理、計算與應用
  • 講授
  •  
    4 Torsional Systems with Viscous Damping 1. Response of Anvil of a Forging Hammer
    2. Shock Absorber for a Motorcycle
    3. Analysis of Cannon
    使學生了解有阻尼之扭抗系統原理、計算與應用
  • 講授
  •  
    5 Response of an Undamped System Under Harmonic Force 1. Total Response
    2. Beating Phenomenon
    使學生了解無阻尼系統在簡諧力作用下之計算與應用
  • 講授
  • 作業Assignment
  •  
    6 Response of a Damped System Under Harmonic Force 1. Total Response
    2. Quality Factor and Bandwidth
    使學生了解有阻尼系統在簡諧力作用下之計算與應用
  • 講授
  •  
    7 Response of a Damped System Under the Harmonic Motion of the Base 1. Force Transmitted
    2. Relative Motion
    使學生了解有阻尼系統在Base作用力下之計算與應用
  • 講授
  •  
    8 Response of a Damped System Under Rotating Unbalance 1. Deflection of an Electric Motor due to Rotating Unbalance
    2. Francis Water Turbine
    3. Damping Measurement
    1. 使學生了解系統在不平衡旋轉力作用下之計算
    2. 阻尼係數量測
  • 講授
  • 作業Assignment
  •  
    9 期中考週 期中考週 期中考週
  • 期中考Midterm
  •  
    10 Response Under a General Periodic Force 1. First-Order Systems
    2. Second-Order Systems
    使學生了解系統在規則且有週期性作用力下之計算與應用
  • 講授
  •  
    11 Response Under a Periodic Force of Irregular Form 1. Steady-state Vibration of a hydraulic Valve 使學生了解系統在不規則但有週期性作用力下之計算與應用
  • 講授
  • 作業Assignment
  •  
    12 Response Under a Nonperiodic Force 1. Response to an Impulse
    2. Response to a General Forcing Condition
    3. Response to Base Excitation
    使學生了解系統在沒有週期性作用力下之計算與應用
  • 講授
  •  
    13 Free Vibration Analysis of an Undamped System 1. Frequencies of Spring –Mass System
    2. Initial Condition to Excite Specific Mode
    3. Free-Vibration Response of a Two-Degree-of-Freedom System
    使學生了解無阻尼系統的自由振動分析
  • 講授
  •  
    14 Coordinate Coupling and Principal Coordinates 1. Principal Coordinates of Spring-Mass System
    2. Frequencies and Modes of an Automobile
    使學生了解利用座標轉換來解決作用力之計算
  • 講授
  • 作業Assignment
  •  
    15 Force-Vibration Analysis 1.Steady-State Response of Spring-Mass System 使學生了解力的振動分析與應用
  • 講授
  •  
    16 Transverse Vibration of a String or Cable 1. Equation of Motion
    2. Initial and Boundary Conditions
    3. Free Vibration of a Uniform String
    使學生了解橫向振動之原理、計算與應用
  • 講授
  • 作業Assignment
  •  
    17 Vibration Measurement of a Beam 1. Equation of Motion and Solution
    2. Vibration Measurement
    使學生了解梁振動之原理與應用,同時學習振動量測方法,包含共振頻率阻尼與振型等實驗
  • 講授
  • 作業Assignment
  •  
    18 期末考週 期末考週 期末考週
  • 期末考Final Exam
  •  

    教學要點概述 Overview of Teaching Points:
    教材編選 Teaching Materials: □ 自編教材 Handout by Instructor ■ 教科書作者提供 Textbook
    評量方法 Evaluation: 期末考Final Exam:30%   期中考Midterm:30%   平時考Test:20%   作業Assignment:20%  
    教學資源 Teaching Resources: □ 教材電子檔 Soft Copy of the Handout or the Textbook □ 課程網站 Website
    扣考規定 The rule of being able to take the final exam of the course:http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504