Various vibrations occur to structures in accordance with the environmental and natural conditions. Any vibration will be
analyzed by structural dynamics. Structural dynamics is also used to analyze the vibration characteristics of the structures,
and it is essential to design structures with sufficient performance against dynamic force.
This lecture is intended for the vibration theory on the linear/non-linear single-degree-of-freedom system and the vibration theory on the linear multi-degree-of-freedom system. And this is also intended to acquire the basic knowledge of the seismic theory and the seismic design of the structures.
This lecture is an internship related course that students can learn basic ideas and knowledges required for performing structural calculations based on time history response analyses in practical business related to the seismic design of structures.
This lecture is intended for the vibration theory on the linear/non-linear single-degree-of-freedom system and the vibration theory on the linear multi-degree-of-freedom system. And this is also intended to acquire the basic knowledge of the seismic theory and the seismic design of the structures.
This lecture is an internship related course that students can learn basic ideas and knowledges required for performing structural calculations based on time history response analyses in practical business related to the seismic design of structures.
The purpose of this lecture is to understand the vibration theories on the single-degree-of-freedom system and on the linear
multi-degree-of-freedom system, and acquire the basic knowledge of the seismic theory and the seismic design of the structures.
- Acquire the basic knowledge to confirm the safety for dynamic external force acting on structures
- Understand and describe correctly hysteresis characteristics to represent elasto-plastic properties
- Understand and describe correctly engineering meaning and features of numerical integration methods
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1． | Introduction - Dynamic external force - The principle of D'Alembert - Equation of motion |
Review the solution of differential equations | 60minutes |
| 2． | Linear vibration of single-degree-of-freedom system 1 - Undamped free vibration |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 3． | Linear vibration of single-degree-of-freedom system 2 - Damped free vibration |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 4． | Linear vibration of single-degree-of-freedom system 3 - Response to harmonic vibration external force |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 5． | Linear vibration of single-degree-of-freedom system 4 - Response to complex external force |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 6． | Linear vibration of single-degree-of-freedom system 5 - Response spectra - Pseudo response spectra - Design spectra |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 7． | Non-linear vibration of single-degree-of-freedom system 1 - Hysteresis characteristics to represent elasto-plastic properties |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 8． | Non-linear vibration of single-degree-of-freedom system 2 - Effects of hysteresis characteristics on the response of structure |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 9． | Non-linear vibration of single-degree-of-freedom system 3 - Numerical integration methods |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 10． | Non-linear vibration of single-degree-of-freedom system 4 - Effects of numerical integration methods on the response of structure |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 11． | Presentation - Comparison of different hysteresis characteristics |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 12． | Vibration of multi-degree-of-freedom system 1 - Analytical models |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 13． | Vibration of multi-degree-of-freedom system 2 - Eigenvalue analysis |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 14． | Vibration of multi-degree-of-freedom system 3 - Concept of damping Generalization - Summary - Question and answer |
Review thoroughly to understand the contents of last lecture | 60minutes |
| 15． | - for assignments and presentation - |
Report 1 Abstract and opinion for technical paper in English |
600minutes |
| Report 2 Comparison of hysteretic models |
600minutes | ||
| Report 3 Comparison of numerical integration methods |
600minutes | ||
| 16． | Preparation for presentation | 60minutes | |
| Total. | - | - | 2700minutes |
| Abstract and opinion for technical paper in English | Comparison of hysteretic models | Comparison of numerical integration methods | Presentation | Total. | |
|---|---|---|---|---|---|
| 1. | 6% | 14% | 14% | 4% | 38% |
| 2. | 2% | 21% | 0% | 16% | 39% |
| 3. | 2% | 0% | 21% | 0% | 23% |
| 4. | 0% | ||||
| Total. | 10% | 35% | 35% | 20% | - |
Comprehensive evaluation of submitted reports 1-3 shown below and presentation on report 1
1. Abstract and opinion for technical paper in English
Abstracts and personal opinions in Japanese for two technical papers in English should be presented.
-Evaluation criteria:
The contents of the papers should be summarized briefly.
The opinions should be clearly stated for the contents of the papers.
2. Comparison of hysteretic models
Two different hysteresis models for elastic-plastic property should be compared in the report.
-Evaluation criteria:
The characteristics of the hysteresis methods and parameters for the analyses should be specified.
The difference of the characteristics of the models should be unambiguously discussed with quantifiability.
3. Comparison of numerical integration methods
Properties of two different numerical integration methods should be discussed in the report.
-Evaluation criteria:
The characteristics of each integration method and the analytical condition should be specified.
The difference between the results of integration using the methods should be unambiguously analyzed with quantifiability.
1. Abstract and opinion for technical paper in English
Abstracts and personal opinions in Japanese for two technical papers in English should be presented.
-Evaluation criteria:
The contents of the papers should be summarized briefly.
The opinions should be clearly stated for the contents of the papers.
2. Comparison of hysteretic models
Two different hysteresis models for elastic-plastic property should be compared in the report.
-Evaluation criteria:
The characteristics of the hysteresis methods and parameters for the analyses should be specified.
The difference of the characteristics of the models should be unambiguously discussed with quantifiability.
3. Comparison of numerical integration methods
Properties of two different numerical integration methods should be discussed in the report.
-Evaluation criteria:
The characteristics of each integration method and the analytical condition should be specified.
The difference between the results of integration using the methods should be unambiguously analyzed with quantifiability.
A handout related to the lecture will be distributed at any time.
References:
Yorihiko OSAKI; "Theory of Vibration Analyses on Building Structures" , Shokokusha (in Japanese)
Haruyuki KITAMURA; "An Introduction to Vibration Analyses on Building Structures for Performance Design", Shokokusha (in Japanese)
References:
Yorihiko OSAKI; "Theory of Vibration Analyses on Building Structures" , Shokokusha (in Japanese)
Haruyuki KITAMURA; "An Introduction to Vibration Analyses on Building Structures for Performance Design", Shokokusha (in Japanese)
- Questions and consultations should be made during lunch time before every lecture.
- Non-social and professional independence development course
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Sun Mar 21 16:07:19 JST 2021