Influence of Shell Thickness on Axisymmetric Longitudinal Wave Propagation in Double Layered Hollow Cylindrical Shell Structure

摘要

Based on elastic wave theory, the characteristics for axisymmetric longitudinal wave propagation in double layered hollow cylindrical shell structure with a continuous contact interface are investigated. According to free boundary conditions and interfacial contact continuity condition, the first mode non-dimension dispersion equations for longitudinal wave is derived and validated by calculation data of existing literature. The non-dimension expressions of stress and displacement are deduced and the stress and displacement distribution in cylindrical shell are obtained by calculation examples. Under the fixed outside radius condition, the shell thickness influence on dispersion relation of axisymmetric longitudinal wave and stress and displacement fields in cylindrical shell are discussed. The results show that the thickness of inner shell or outer shell has little influence on dispersion characteristics when the value of wave number is small. As wave number increased, the effect of shell thickness also increased. The stress and displacement in shell increase with the increase of the thickness of inner or outer layer shell when the wave number value is large.