Course title
4M997300
Dynamics of Machinery

 saeki masato
Course content
When we analyze the vibration of mechanics or structures, they are often regarded as a linear dynamic system. However, in case of large displacement or nonlinear damping, they have to be regarded as nonlinear dynamic system. In this lecture, the characteristics and analyzing methods of nonlinear dynamic system are discussed.
Purpose of class
The purpose of this class is for students to learn analytical, experimental, and numerical treatment of nonlinear vibration phenomena. Topics include nonlinear oscillator analysis (Perturbation method, harmonic balance method and Graphical method), jump phenomena, and self-excited vibration.
Goals and objectives
  1. Students who complete this course should have a clear understanding of nonlinear dynamic system.
  2. Students will analyze nonlinear vibrations and will develop mathematical techniques.
  3. Students will recognize the characteristics of the response of nonlinear dynamic system.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Linear dynamic system Students are required to review mechanical vibration. 190minutes
2． Behavior of nonlinear dynamic system Make sure students have read chapter 1 & 2. 190minutes
3． Multi-variable model and Approximate solutions Make sure students have read chapter 3 & 4. 190minutes
4． Self-excited oscillations Make sure students have read chapter 5 & 6. 190minutes
5． Synchronization and frequency pulling Make sure students have read chapter 7 & 8. 190minutes
6． Percolation and fractal Make sure students have read chapter 9. 190minutes
7． Jump phenomena and subharmonic resonance Students are required to review mechanical vibration. 190minutes
8． Parametric excitation Students are required to look into the related information about some given topics. 190minutes
9． Stability and chaos Students are required to look into the related information about some given topics. 190minutes
10． Analytical Approximation of Nonlinear Vibration
　・Harmonic balance method
　・Averaging method 		Students are required to look into the related information about some given topics. 190minutes
11． Seismic control system and structural isolation Students are required to look into the related information about some given topics. 190minutes
12． Collision and contact Students are required to look into the related information about some given topics. 190minutes
13． Numerical method for vibration snalyses Students are required to look into the related information about some given topics. 190minutes
14． Vibrating conveyor and separation Students are required to look into the related information about some given topics. 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Presentation Final report Total.
1. 15% 15% 30%
2. 20% 15% 35%
3. 20% 15% 35%
Total. 55% 45% -
Evaluation method and criteria
The grade weights are
Presentation:　50%
Final report:　 50%
Textbooks and reference materials
Nonlinear dynamics
Prerequisites
Students should take “Fundamentals of mechanical vibrations” and “Vibration engineering”.
Office hours and How to contact professors for questions
  • Anytime is OK.
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Last modified : Wed Oct 17 07:35:11 JST 2018