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
Theory of elastodynamics
7. Fundamental equations
8. Reflection and transmission of plane waves
9. Surface waves and guided waves
10. Scattering of elastic waves
11. Fundamental solutions and Green窶冱 functions
12. Integral representation and inverse scattering of elastic waves
Engineering applications of waves and vibrations
13. Engineering application --- seismic engineering
14. Engineering application --- nondestructive testing

15. Examination

Textbook and reference

See OCW .

Related and/or prerequisite courses

None

Evaluation

Homework(30%) and exam(70%)