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.
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.
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’s 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
See OCW .
None
Homework(30%) and exam(70%)