| 徐建航,杨翊仁.Fluid30单元在同轴圆柱壳固有特性计算中的适用性分析[J].装备环境工程,2019,16(2):101-106. XU Jian-hang,YANG Yi-ren.Applicability Analysis of Fluid30 Element for Calculation of Dynamic Characteristics of Coaxial Cylindrical Shell[J].Equipment Environmental Engineering,2019,16(2):101-106. |
| Fluid30单元在同轴圆柱壳固有特性计算中的适用性分析 |
| Applicability Analysis of Fluid30 Element for Calculation of Dynamic Characteristics of Coaxial Cylindrical Shell |
| 投稿时间：2018-11-23 修订日期：2019-02-25 |
| DOI：10.7643/ issn.1672-9242.2019.02.021 |
| 中文关键词: 同轴圆柱壳 固有特性 Fluid30单元 适用性 |
| 英文关键词:coaxial cylindrical shell vibration characteristics Fluid30 element applicability |
| 基金项目:国家自然科学基金（11772273）； |
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| 中文摘要: |
| 目的 分析Fluid30单元用于内侧含环形间隙流体同轴圆柱壳固有特性计算的适用性。方法 针对内侧含环形间隙流体的同轴圆柱壳模型，分别基于“Fluid30单元”和“理论流体附加质量”对壳体固有特性进行分析。通过变间隙宽度对比计算，探究壳体固有特性随无量纲半径比的变化规律，分析波动方程离散化对计算结果的影响，判定Fluid30单元的适用范围。结果 半径比与固有频率之间呈非线性关系，半径比越小，壳体固有频率越低，固有频率随半径比变化率越大。波动方程离散化引起的误差随半径比减小而增大，以相对误差10%作为Fluid30单元适用性判别标准，(1,2)壳式频率对应的临界半径比为1.20，(1,3)壳式频率对应的临界半径比为1.03，其他壳式频率对应的临界半径比小于1.001。结论 不同阶频率的Fluid30单元适用范围不同，当半径比小于临界值时，相关频率应基于理论流体附加质量迭代计算。 |
| 英文摘要: |
| Objective To analyze the applicability of the Fluid30 element for calculation of dynamic characteristics of a coaxial cylindrical shell model with inner annular gap fluid. Methods For the coaxial cylindrical shell model with inner annular gap fluid, the vibration characteristics of the shell were analyzed based on the "Fluid30 element" and the "theoretical fluid additional mass" respectively. Contrast calculations of variable gap width were carried out to explore the variation of the vibration characteristics of shell with no-dimensional radius ratio, analyze the influence of the discretization of Wave-Equation on the calculation results, and determine the suitable range of Fluid30 element. Results There was a nonlinear relationship between the radius ratio and the natural frequency; the smaller the radius ratio, the lower the natural frequency of the shell and the greater the change rate of the natural frequency with the radius ratio; the error caused by the discretization of the wave-equation increased with the decrease of the radius ratio; the relative error 10% was used as the criterion of fluid30 element applicability, the corresponding critical radius ratio of the (1,2) shell frequency was 1.2, the critical value of (1,3) shell frequency was 1.03 and the critical value of other shell frequency was less than 1.001. Conclusion The application range of Fluid30 element for different order frequencies is different. When the radius ratio is less than the critical value, the correlation frequency should be calculated by iterative method based on the theoretical fluid additional mass. |
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