【摘要】 从理论上分析了各向同性弹性介质中有限长充液圆柱壳的自由振动特性。利用经典FLUGGE壳体运动方程,结合弹性动力学方程,得到了弹性介质中充液圆柱壳耦合系统的特征方程。利用数值方法得到了弹性介质中圆柱壳中空和充液时的实固有频率。计算结果表明弹性介质中圆柱壳的实固有频率比真空中圆柱壳的实固有频率高,而且存在截止轴向模态。弹性介质刚度不仅对充液圆柱壳的实固有频率影响显著,而且影响其截止轴向模态。更多还原

【Abstract】 The axisymmetric vibration characteristics of finite length fluid-filled cylindrical shells in elastic medium are analyzed systematically in theory.The coupling characteristic equation of fluid-filled cylindrical shells in elastic medium is derived by using the classical Flugge shells motion equation combined with the elastic dynamic equation.Then the frequencies of free vibration of hollow cylindrical shell and fluid-filled cylindrical shells in elastic medium are higher than those of cylindrical shells in vacuum and there exists cut-off axial mode.The rigidity effect of surrounding elastic medium is remarkable not only to the real characteristic frequencies of cylindrical shells but also to the cut-off axial mode.更多还原