Study on Flow Induced Vibration Characteristics of Laminated Plate Structure under High Temperature
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摘要: 为研究高温对叠层板状结构流致振动特性的影响，对考虑了粘性不可压缩流体作用下的简化叠层板状结构建立动力学方程。通过特征矩阵求解，分析了3个受温度影响的参数（叠层板材料弹性模量、冷却水密度和饱和水粘性）对叠层板固有频率和失稳临界流速的敏感性影响，进而研究了3个参数同时变化时，温度对叠层板状结构流致振动特性的影响。计算结果表明，随着温度升高，叠层板在静水和动水中的固有频率逐渐降低；叠层板材料弹性模量降低造成叠层板刚性下降对叠层板固有频率的影响最大，同时失稳临界流速先降低再逐渐升高，但变化幅度不大；冷却水密度降低造成的附加质量降低对失稳临界流速的影响最大。Abstract: In order to study the effect of high temperature on the flow induced vibration characteristics of laminated plate structure, a dynamic equation is established for the simplified laminated plate structure considering the action of viscous incompressible fluid. By solving the characteristic matrix, the sensitivity effects of three temperature-affected parameters (elastic modulus of laminated material, cooling water density and saturated water viscosity) on the natural frequency and critical velocity of instability of laminated plate are analyzed. Furthermore, the effect of temperature on the flow induced vibration characteristics of laminated plate structure is studied when the three parameters change at the same time. The results show that the natural frequencies of laminated plate in static and dynamic water decrease with the increase of temperature; the decrease of the elastic modulus of the laminate material leads to the decrease of the rigidity of the laminated plate, which has the greatest effect on the natural frequency of the laminated plate. At the same time, the critical velocity of instability decreases at first and then increases gradually, but the change range is not significant; the additional mass reduction caused by the reduction of cooling water density has the greatest effect on the critical velocity of instability.
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Key words:
- High temperature /
- Laminated plate /
- Vibration characteristics /
- Fluidelastic instability
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图 2 叠层板前三阶随流速变化的特征值曲线
Figure 2. Eigenvalue Curves of the First Three Orders of the Laminated Plate Varying with Velocity
图 3 叠层板振动特性随弹性模量的变化
Figure 3. Variation of Vibration Characteristics of Laminated Plate with Elastic Modulus
图 4 叠层板振动特性随冷却水密度的变化
Figure 4. Variation of Vibration Characteristics of Laminated Plate with Cooling Water Density
图 5 叠层板振动特性随饱和水粘性的变化
Figure 5. Variation of Vibration Characteristics of Laminated Plate with Saturated Water Viscosity
图 6 叠层板振动特性随温度的变化
Figure 6. Variation of Vibration Characteristics of Laminated Plate with Temperature
表 1 常温（20℃）叠层板和流体参数
Table 1. Parameters of Laminated Plate and Fluid at Normal Temperature (20℃)
参数名 参数值 E/ GPa 96.6 ρ/(kg·m−3) 6500 B/mm 50 h/ mm 1.8 a1、a2/mm 2 L/m 0.4 ρl/(kg·m−3) 998.2 μ/ (Pa·s) 1.002×10−3 h—板厚 
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表 2 不同温度叠层板弹性模量
和流体参数 Table 2. Elastic Modulus and Fluid Parameters of Laminated Plate at Different Temperatures
参数名 参数值 温度/℃ 80 100 180 260 320 E/ GPa 94.4 91.2 83.4 76.1 70.2 冷却水密度/(kg·m−3) 971.2 958.2 886.9 783.9 666.9 饱和水粘性系数
/10−3 (Pa·s)0.351 0.282 0.149 0.098 0.078 饱和水压力/MPa 0.047 0.101 1.002 4.694 11.289
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