Elastic wave velocities in a thin circular rod

E|Young modulus [N/(m^2)]|Young modulus|128E9
rho|Density [kg/(m^3)]|Density|8960
mu|Shear modulus [N/(m^2)]|Shear modulus|45E9
lambda|lambda [m]|Wavelength|0.03
a|a [m]|Rod radius (a<<lambda)|0.2E-3

vL|vL [m/s]|Speed of longitudinal wave|sqrt(E/rho)
vPhi|vPhi [m/s]|Torsional wave velocity|sqrt(mu/rho)
k|k [rad/m]|Wavenumber|2*Pi/lambda
vT|vT [m/s]|Speed of transverse wave|(k*a/2)*sqrt(E/rho)

2020-10-16