TY - GEN

T1 - Backwards waves in a fluid-filled cylindrical shell

T2 - Comparison of 2D shell theories with 3D theory of elasticity

AU - Filippenko, George V.

AU - Wilde, Maria V.

PY - 2018/11/29

Y1 - 2018/11/29

N2 - Backward waves (wave with opposite signs of the phase and group velocities) in a circular cylindrical shell filled with an acoustic fluid are studied. Three theories are applied to describe the motions of the shell: Kirchhoff-Love theory, refined shell theory with modified inertia, and 3D theory of elasticity. Numerical results for combinations of parameters ensuring the existence of backward waves are presented. By comparison of these results, the limits of applicability of the shell theories are investigated. It is shown that the using of two-terms operator of transverse inertia is sufficient to extend the applicability of the shell theory up to high-frequency range.

AB - Backward waves (wave with opposite signs of the phase and group velocities) in a circular cylindrical shell filled with an acoustic fluid are studied. Three theories are applied to describe the motions of the shell: Kirchhoff-Love theory, refined shell theory with modified inertia, and 3D theory of elasticity. Numerical results for combinations of parameters ensuring the existence of backward waves are presented. By comparison of these results, the limits of applicability of the shell theories are investigated. It is shown that the using of two-terms operator of transverse inertia is sufficient to extend the applicability of the shell theory up to high-frequency range.

M3 - Conference contribution

SP - 79

EP - 86

BT - Proceedings of the "XLV Summer School Conference Advanced Problems in Mechanics APM 2018

ER -