Abstract:
In this thesis we discuss the points of intersection of the symmetric and antisym metric Lamb mode dispersion curves of an isotropic plate. The Rayleigh-Lamb
frequency relation for dispersion curves is derived for a plate with thickness 2h
and their intersections are determined. The points of intersection are graphically
represented.
The plateau region possessed by the Lamb modes in k-c plane is graphically
shown for an isotropic plate where k is the wave number and c is the wave
speed. Lastly, the reflection of SV-waves is mathematically examined and the
mode conversion through this reflection is discussed analytically. An expression
is derived which gives the bound in which mode conversion can take place and
outside which it is forbidden.