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Free Propagation of Wave in Viscoelastic Cables with Small Curvature

Free Propagation of Wave in Viscoelastic Cables with Small Curvature
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摘要 The coupled longitudinal-transverse waves propagating freely along a viscoelastic cable was studied. The frequency-spectrum equation governing propagating waves and the formulations of the phase velocities and the group velocities characterizing propagating waves were derived. The effects of viscosity parameters on the phase velocities and the group velocities were investigated with numerical simulation. The analyses show that viscosity has a strong influence on the phase velocity and the group velocity of propagating waves and attenuation waves for longitudinal-dominant waves, but the phase velocities of propagating waves of transverse-dominant waves do not change with viscosity. The coupled longitudinal-transverse waves propagating freely along a viscoelastic cable was studied. The frequency-spectrum equation governing propagating waves and the formulations of the phase velocities and the group velocities characterizing propagating waves were derived. The effects of viscosity parameters on the phase velocities and the group velocities were investigated with numerical simulation. The analyses show that viscosity has a strong influence on the phase velocity and the group velocity of propagating waves and attenuation waves for longitudinal-dominant waves, but the phase velocities of propagating waves of transverse-dominant waves do not change with viscosity.
作者 邹宗兰
出处 《Journal of Southwest Jiaotong University(English Edition)》 2003年第2期157-164,共8页 西南交通大学学报(英文版)
关键词 viscoelastic cable small equilibrium curvature free propagation dominant waves viscoelastic cable, small equilibrium curvature, free propagation, dominant waves
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