Transient radiation and scattering from fluid loaded elastic cylinders

Abstract

Two-dimensional radiation and scattering from fluid-loaded circular elastic cylinders are addressed using two different time domain techniques. In the first method, the normal velocity of the shell is expanded as a Fourier series of angle with time-dependent coefficients whereas, in the second method, the velocity field of the shell is expressed as an in vacuo modal vector expansion with time-dependent coefficients. In both methods, the velocity coefficients are expressed as the solution of convolution integral equations and the field pressures are then expressed as a Fourier series in angle with range- and time-dependent coefficients that are convolution integrals involving the velocity coefficients. Recursive and iterative methods of solving the convolution integral equations are presented and discussed. Finally, numerical results are presented and discussed for the normal velocity and surface pressure resulting from a transient line force excitation and an incident transient plane-wave excitation.

Transient response of a thin cylinder with local material inhomogeneity

“…El-Raheb (2004) treats transient response of a thin metallic capsule made of a short cylinder capped by disks and excited by an internal pulse of short duration. Stepanishen and Janus (1990) treat transient radiation and scattering from fluid loaded cylinders. Paul and Murali (1995) determine the axisymmetric dynamic response of poro-elastic cylinders.…”

Wave propagation in a hollow cylinder due to prescribed velocity at the boundary

“…Among these are Stanton (1988), Honarvar and Sinclair (1996), Bao et al (1997), Wang and Ying (2001). Stepanishen and Janus (1990) treat transient radiation and scattering from fluid loaded cylinders. Frequency response of cylinders is analyzed by Grinchenko and Meleshko (1978), Batard and Quentin (1992), and Grinchenko (1999).…”