Propagation of surface waves on the surface of a non-homogeneous aeolotropic cylindrical shell

Summary

The object of the present paper is to investigate the propagation of ‘surface waves’ on a non-homogeneous aeolotropic cylindrical shell surrounded by vacuum. The elastic constantsc _ij (i, j=1,2...) and density ρ of the material of the shell are assumed to be of the form$\mu _{ij} r^{k_1 }$ and$\rho _0 r^{k_2 }$ respectively, where μ_ij, ρ₀ are constants andk ₁,k ₂ are any integers.