水下环肋圆锥壳临界压力-频率特性分析

Critical pressure-frequency characteristics analysis for ring-stiffened submerged conical shells

  • 摘要:
      目的   为了揭示水下环肋圆锥壳临界压力数值模拟的物理机理,对比试验测量方法的准确性,
      方法   基于Flügge壳体理论,结合波传播法和Galerkin法研究水下环肋圆锥壳临界压力与固有频率之间的关系。采用刚度均摊法,将环肋的等效刚度代入壳体振动方程,计算得到固有频率及临界压力。
      结果   研究表明,水下环肋圆锥壳固有频率的平方随静水压力的增大呈近似线性递减的关系,环肋圆锥壳的临界压力随环肋弹性模量、厚度、高度的增大而增大,且环肋对固有频率的影响显著。
      结论   采用的计算方法准确、有效且方便简捷,可为水下环肋圆锥壳临界压力的无损预报提供新的求解方法与思路。

     

    Abstract:
      Objectives   In order to reveal the physical mechanism of the numerical simulation of the critical pressure of the underwater ring-stiffened conical shell and compare the accuracy of the experiment methods,
      Methods   based on Flügge shell theory, wave propagation method and Galerkin method are used to study the relationship between critical pressure and natural frequency of underwater ring-stiffened conical shells. The smeared stiffener theory is substituted into the shell vibration equation in the ring-stiffener so that the natural frequency and the critical pressure are calculated.
      Results   The study shows that the square of the natural frequency of the underwater ring-stiffened conical shell decreases linearly with the hydrostatic pressure increases, the critical pressure of the ring-stiffened conical shell increases when the elastic modulus, thickness and height of the ring stiffener increase.
      Conclusions   The calculation method is accurate, effective and easy to use. It can provide a new method and idea for the nondestructive prediction of the critical pressure of the underwater ring-stiffened conical shell.

     

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