課程介紹
課程總時長| 6小時18分鐘4秒
單元數| 3個章節 12個單元

Brief Description
The understanding of dynamics and vibrations of structural systems is critical to design, analysis, and diagnosis of a variety of engineering systems. This course will cover the fundamental modeling approaches for structures and the methodology for analyzing their dynamics. Both analytical and numerical tools for analyzing the linear and nonlinear structures will be introduced. The specific course learning objectives are:

  • Linear vibration theory: vibrations of single DOF oscillators and multi-DOF oscillators; modal analysis; reduced-order modeling.
  • Nonlinear dynamics: nonlinear vibration phenomena; approximate analytical methods.
  • Numerical tools for solving structural dynamics problems.

Course Keywords
structural dynamics, linear vibration, nonlinear vibration, 結構動力學, 線性振動, 非線性振動

Course Objectives

  1. Introduce fundamental theories about analysis of structural dynamics.
  2. Develop skills using MATLAB to perform analyses.
  3. Develop ability to read technical papers and understand current research trends.

Course Outline

  1. Introduction of structural dynamics 
  2. Formulation of the equations of motion 
  3. Linear vibrations 
    1. Analytical and numerical methods for solving single DOF system 
    2. Analytical and numerical methods for solving multiple DOF system 
    3. Modal analysis 
    4. Reduced order modeling
  4. Nonlinear dynamics and vibrations 
    1. Nonlinear vibration phenomena 
    2. Numerical tools for analyzing nonlinear dynamics 
    3. Approximate analytical methods for analyzing nonlinear vibrations 
課程章節
第 1 章:Overall View
單元 1 - Course Information
12:15
單元 2 - Core Introduction
10:30
第 2 章:Formulation of equation of motion
單元 1 - Formulation of equation of motion
27:35
單元 2 - Formulation of equation of motion: DOF, Systems
46:21
單元 3 - Formulation of equation of motion: Linear & Nonlinear System, Dynamics of Deformable Bodies
58:39
第 3 章:Linear vibrations
單元 1 - Analysis of Single DOF System
01:46:49
單元 2 - Example of Analysing Single DOF System
14:15
單元 3 - Coulomb Damping
14:34
單元 4 - Forced Harmonic Vibration Response
08:47
單元 5 - Case Discussion: Undamped Harmonic Vibration
05:32
單元 6 - Case Discussion: Undamped Harmonic Vibration (2)
49:57
單元 7 - Case Discussion: Damped Harmonic Vibration
22:50
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田孟軒 教授

> 動力機械工程學系

> 研究領域

結構振動與非線性動力學、系統辨識、模型降階

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