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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Civil Engineering
- Instructor(s)
- Maruyama Taizo
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- -
- Group
- -
- Course number
- CVE.M401
- Credits
- 2
- Academic year
- 2024
- Offered quarter
- 3Q
- Syllabus updated
- 2024/3/14
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
Fundamental theory and analytical/numerical methods for wave propagation and scattering in elastic solids are taught in this course, which have various applications in the civil engineering field such as structural dynamics, seismic engineering, and ultrasonic nondestructive testing. Theory and numerical approaches of one-dimensional waves and vibration are taught to understand the basic concept. Two- and three-dimensional elastic wave theory is taught to understand several wave phenomena. For this purpose, fundamentals of continuum mechanics are also taught.
The aim of this course is to teach students the fundamentals of theory and analytical/numerical methods for vibration and wave phenomena. A unified approach to other wave phenomena such as acoustic electromagnetic waves is suggested.
Student learning outcomes
By the end of this course, students will be able to:
1. Explain mathematically basic wave phenomena, including propagation, reflection, transmission, dispersion, and scattering of waves.
2. Solve simple problems of one-dimensional waves analytically and numerically.
3. Demonstrate wave phenomena of two- or three-dimensional waves using computational calculations.
4. Explain applications of vibrations and elastic waves in various engineering fields.
Keywords
wave propagation, reflection and transmission, dispersion, scattering, integral representation, structural dynamics, earthquake engineering, ultrasonic nondestructive testing
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
This course will be mainly provided in lecture style and is divided into two parts. The first part is related to the theories of one-dimensional vibrations and waves. The second part is for two- or three-dimensional waves. After lectures of the first part, a midterm report will be given to check the understanding of students.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Fundamentals of one-dimensional wave propagation | Become able to explain the concept of fundamental equations for one-dimensional waves. |
| Class 2 | Reflection and transmission of one-dimensional wave | Become able to explain the one-dimensional wave reflection and transmission and to solve them analytically. |
| Class 3 | Free vibration and forced vibration | Become able to explain the free and forced vibrations and to solve some related problems analytically. |
| Class 4 | Fundamental solution and integral representation | Become able to explain the fundamental solutions and integral representation for one-dimensional wave problems. |
| Class 5 | Numerical simulation for one-dimensional wave propagation | Solve the one-dimensional wave problems using a finite element method. |
| Class 6 | Numerical simulation for one-dimensional free vibration | Solve the one-dimensional free vibration problems using a finite element method. |
| Class 7 | Programming exercises for one-dimensional problems (midterm report) | Implement the finite element analysis for one-dimensional problems. |
| Class 8 | Fundamentals of elastodynamics for two- and three-dimension | Become able to explain the concept of fundamental equations for waves in two- and three-dimensional elastic solids. |
| Class 9 | Reflection and transmission of Plane waves | Become able to explain the plane waves and their reflection and transmission. |
| Class 10 | Surface waves | Become able to explain the surface waves and determine their wave velocities. |
| Class 11 | Guided waves | Become able to explain the guided waves and determine their dispersion curves. |
| Class 12 | Numerical methods for dispersion analysis | Implement the dispersion analysis for guided waves using a finite element method. |
| Class 13 | Principle of virtual work and reciprocity theorem | Become able to explain the principle of virtual work and reciprocity theorem. |
| Class 14 | Spherical wave and integral representation | Become able to explain the spherical wave and integral representation. |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterward (including assignments) for each class. They should do so by referring to textbooks and other course material.
Textbook(s)
None required.
Reference books, course materials, etc.
Lecture materials will be uploaded on T2SCHOLAR appropriately.
References:
J. D. Achenbach: Wave Propagation in Elastic Solids, North-Holland, 1973.
L. W. Schmerr Jr.: Fundamentals of Ultrasonic Nondestructive Evaluation: A Modeling Approach 2nd ed., Springer Cham, 2014.
J. L. Rose: Ultrasonic Guided Waves in Solid Media, Cambridge University Press, 2014.
Assessment criteria and methods
Two assignments (100%)
Related courses
- CVE.M301 Computers and Fundamental Programming
- CVE.M302 Computers and Applied Programming
- CVE.A210 Structural Dynamics in Civil Engineering
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students must have successfully completed Computers and Fundamental Programming (CVE.M301) and Computers and Applied Programming (CVE.M302) or have equivalent knowledge because several assignments of programming are imposed.
