11320 結構動力學

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