2026Year

First Semester

Advanced Course of Structural Design

Lecture

Advanced Course of Structural Design

Z1100089 Advanced Course of Structural Design

YAMASHITA Tetsuo

2.0Credits

Mon.4Period

Shinjuku Campus

A-0475教室（大学院工学研究科）

A) A high degree of specialized expertise　100%
B) The skills to use science and technology　0%
C) The ability to conduct research independently, knowledge pertaining to society and occupations, and sense of ethics required of engineers and researchers　0%
D) Creative skills in specific areas of specialization　0%

Understand seismic response analysis theory of building structures from basic vibration theory.

A basic understanding of the calculus of functions, complex functions, linear algebra and matrix methods in structural analysis, is required.

Project Based Learning／Support for self-learning using ICT／Other

1. mathematical foundations of vibration theory for one-degree-of-freedom systems
Preparation: Calculus of trigonometric and exponential functions, review of additive theorem for trigonometric functions
2. undamped free vibration of systems with one degree of freedom
Preparation: Calculus of trigonometric and exponential functions, review of additive theorem of trigonometric functions
3. damped free oscillations of systems with one degree of freedom
Preparation: Calculus of trigonometric and exponential functions, complex numbers, review of Euler's equation
4. response and resonance of one-degree-of-freedom systems to harmonic external forces
Preparation: Review of the contents of the third session
5. seismic response and response spectrum of one degree of freedom system
Preparation: Review of the contents of the 4th lecture, and review of the gradual equations of sequences.
6. Elasto-plastic response of one-degree-of-freedom system and equivalent linearization method
Preparation: Review of the contents of the 5th lecture
7. eigenperiods and eigenmodes of multi-degree-of-freedom systems
Preparation: Review the basic content of simultaneous equations and eigenvalue problems in linear algebra.
8. proportional damping of multi-degree-of-freedom systems
Preparation: Review the contents of the 7th lecture.
9. seismic response of multi-degree-of-freedom systems (1) basic equations and stimulation coefficients
Preparation: Review the contents of the 8th lecture
10. seismic response of multi-degree-of-freedom systems (2) effective mass and modal analysis
Preparation: Review of the contents of the 9th lecture
11. plastic collapse and bearing capacity of layered structures
Preparation: Review of steel and RC structures
12. seismic design of structures
Preparation: Review of the contents of the 11th lecture
13. equivalent linearization method for multi-degree-of-freedom systems
Preparation: Review of the contents of the 12th seminar
14. synthesis
Preparation: Review of the contents of the 1st to 13th sessions
15. visit to actual structures
Preparation: Review of the contents of the 14th

A+≥90, 90>A≥80, 80>B≥70, 70>C≥65, 65>D≥60, 60>F, based on a 100-point scale for the performance of the exercises assigned in each class.

The student will be notified of the grades for each exercise and, if necessary, the answers to the exercises will be explained in class.

Lecture notes will serve as the textbook.

Akenori Shibata: Analysis of earthquake resistant structures, Morikita Publishing (in Japanese)

Wed. 12:40-13:10 A2514

In this class, lectures are given to help students understand how the basic theory of elastic vibration relates to the seismic response and seismic design of actual structures, including seismic isolation and vibration control structures, through example exercises.
This class is designed for students who want to become structural engineers and uses mathematics.

Applicable

The lecturer has 16 years of practical experience in structural design and the development of seismic isolation and vibration control technology, and will teach the system of vibration and earthquake resistant design in relation to actual structural design as well as mathematical theory.

Architecture Program