Outline of lecture

In this lecture, fundamental theories and analytical methods for vibrations and waves in solids are described, and various engineering applications in seismic engineering, ultrasonic nondestructive testing and so forth will be presented.

Purpose of lecture

In this lecture, fundamental theories and analytical methods for vibrations and waves in solids are described, and various engineering applications in seismic engineering, ultrasonic nondestructive testing and so forth will be presented.

Plan of lecture

Theory of waves and vibrations for one dimensional problem
1. Fundamental equations
2. Reflection and transmission
3. Dispersive waves
4. Free vibration of a finite string
5. Fundamental solutions and integral formulation
6. Integral expression and inverse scattering analysis
7. Midterm examination
Theory of elastodynamics
8. Fundamental equations
9. Reflection and transmission of plane waves
10. Surface waves and guided waves
11. Scattering of elastic waves
12. Fundamental solutions and Green窶冱 functions
13. Integral representation and inverse scattering of elastic waves
Engineering applications of waves and vibrations
14. Engineering application 1
15. Engineering application 2

Textbook and reference

See OCW .

Related and/or prerequisite courses

None

Evaluation

Homework(50%) and Examination (50%)