As a basic mathematics, Fourier transform and the concept of frequency domain are introduced. Formulation and solutions are discussed for one degree-of-freedom (1DOF) system with and without damping. The frequency response functions are also discussed for 1DOF system. Basics of multi DOF system are introduced and theoretical background are shown for damping and isolated systems for structures on the basis of the multi DOF system. Finally, formulation and solutions are discussed for free oscillation of simple beams.
To use the resulted equations is important. However, it is much more to understand how and why we reach the results. Thus, this course devote time to discuss the procedure of analysis and theoretical background.
Objective is to understand the basics of structural response during earthquake ground motion. (1) Understanding 1DOF system, (2) understanding multi DOF system, (3) understanding basic concept of damping and isolated system for structures, (4) understanding dynamic response of beams, (5) understanding basics of earthquake-resistant design for structures.
dynamic response, one degree-of-freedom (1DOF) system, multi degree-of-freedom (MDOF) system, beam, earthquake-resistant design
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||Practical and/or problem-solving skills|
Important points will be written on blackboard and documents and figures are circulated during the class. Exercises and/or homework are required. The solutions and descriptions will be provided of the beginning of the class on next week.
|Course schedule||Required learning|
|Class 1||Fourier transform, Dynamic response of one degree-of-freedom (1DOF) system without damping||definition and calculation of Fourier transform, formulation of motion equation and its solution for 1DOF system without damping|
|Class 2||Dynamic response of one degree-of-freedom (1DOF) system with damping||formulation of motion equation and its solution for 1DOF system with damping|
|Class 3||Seismic response spectra and formulation of dynamic response of multi degree-of-freedom (MDOF) system||definition of seismic response spectra and tripartite. formulation of motion equation for MDOF system|
|Class 4||Solution of dynamic response of multi degree-of-freedom (MDOF) system||solution of motion equation for MDOF system|
|Class 5||Dynamic response of beams||formulation of motion equation and its solution for beam with or without damping|
|Class 6||Dynamic response of structures and isolated system for structures||understanding dynamic response of structures, and basic theory of isolated system for structures|
|Class 7||basic theory of damping system and seismic retrofit for structures, and earthquake-resistant design||basic theory of damping system and seismic retrofit for structures, and understanding basic concept for earthquake-resistant design|
|Class 8||final exam||assessment of students' knowledge|
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
No textbook is assigned. Necessary documents will provided during the class.
Documents will provided during the class. A part of the following book is strongly related to this course:
Morikawa, H. and Yamanaka, H.: Ground and Ground Motions, Asakura Pub. Co. Ltd., Tokyo, 2019.
Furthermore, I will recommend the follows:
Harada, T. and Motohashi, H.: Introduction to Mathematical Science of Earthquake Engineering, Gihodo Shuppan Co. Ltd., Tokyo, 2020.
Final exam is 70%, and exercises and homework are 30%. Handwriting notes on both side of A3 paper can be referred and calculator can be used during the final exam.
Basic Mathematics for Physical Science is strongly required.
The contents will be changed to adjust the students.