外表面有弹簧边界条件的圆柱壳中反向波的能量流分析

G. Filippenko
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引用次数: 0

摘要

研究了外表面具有弹簧边界条件的无限圆圆柱壳的自由谐波振动问题,类似于板的温克勒基础。壳被认为是Kirchhoff-Love型。在精确解析解的基础上导出了色散方程。对传播波进行了分析。在反向波产生的频率范围内,计算了不同类型壳体运动所对应的能量通量及其分量。对壳内不同的能量传递机制进行了比较。结果表明,能量通量的负特性是由于其纵向分量和扭转分量的负特性造成的,其中扭转分量占主导地位。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The energy flux analysis of the backwards waves in a cylindrical shell with spring-type boundary condition on the outer surface
The problem of free harmonic vibrations of an infinite circular cylindrical shell with spring-type boundary condition on the outer surface, analogous to Winkler foundation for a plate, is studied. The shell is considered of Kirchhoff–Love type. The dispersion equation is derived on the base of the exact analytical solution. The propagating waves are analyzed. The energy flux and its components corresponding to different types of shell motion is calculated in the frequency ranges where the backwards waves arise. The comparison of different mechanisms of energy transmission in the shell is fulfilled. It is shown that the negative character of the energy flux is due to the negative character of its longitudinal and torsional components with dominating of the torsion one.
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