Abstract
At present, some methods for measuring the surface tension of membrane structure are applied to engineering practice. But there are some defects happened in the engineering practice. This paper proves the partial boundary of the fixed membrane surface. The natural vibration frequency of the membrane surface is only related to the membrane surface tension. Based on this principle, a magnetic clip-type membrane surface fixed boundary fixture is designed. A method for measuring the tension of the membrane surface tension by measuring the natural vibration frequency of the inner membrane surface of the fixed boundary is proposed. The finite element method was used to analyze the vibration frequency of the fixed boundary membrane under different tensions. The vibration frequency of the fixed boundary membrane under different tensions was measured by experiments. The simulation results were compared with the experimental results, and the accuracy of the method was verified. Through this method, the calibration result of the small sample on the calibration table can be used for the tension measurement of any boundary condition in the actual project and the material film structure, which is in accordance with the requirements of simple operation, wide applicability and high measurement precision in engineering practice.
Highlights
试验前先预加载10N以防止初始状态膜面松弛,然后 再将应变仪清零。试验时逐级施加拉力,施加拉力范围为 300N~2400N, 分 度 值 为 300N, 此时膜面张力为 375N/m~3000N/m,分度值为375N/m。加载过程中取下圆 环的下盘,加载至所需拉力后,再将下盘放回膜面与上盘 组成固定边界,以保证圆环内的张力与圆环外相同。固定 边界完成后,轻敲圆环内的标志点,圆环内加速度传感器 采集振动数据,电脑分析软件得到圆环内膜面振动频率。 为观察张力增大时圆环的固定效果,同时需要分析圆环外 加速度传感器的采集数据。为保证试验数据可靠性,每次 加载采集三次数据取平均值。试验中圆环内传感器采集的 部分振动如图5所示。
This paper proves the partial boundary of the fixed membrane surface
在有限元软件中建立固定边界的正交各向异性圆形 薄膜结构模型,先进行静力学分析,完成膜结构预张力的 施加,再进行模态分析,可以确定膜结构的固有频率。选 用ANSYS壳单元SHELL181,纬向弹性模量880MPa,经向弹性模量 1550MPa , 密 度 1857 kg/L@ , 单 元 厚 度 0.0007m[11],建立直径180mm的圆形薄膜模型,进行模态 分析,得到薄膜的各阶振动频率及振型。数值模拟得到的 圆形薄膜振动的各阶振型如图7所示。
Summary
试验前先预加载10N以防止初始状态膜面松弛,然后 再将应变仪清零。试验时逐级施加拉力,施加拉力范围为 300N~2400N , 分 度 值 为 300N , 此时膜面张力为 375N/m~3000N/m,分度值为375N/m。加载过程中取下圆 环的下盘,加载至所需拉力后,再将下盘放回膜面与上盘 组成固定边界,以保证圆环内的张力与圆环外相同。固定 边界完成后,轻敲圆环内的标志点,圆环内加速度传感器 采集振动数据,电脑分析软件得到圆环内膜面振动频率。 为观察张力增大时圆环的固定效果,同时需要分析圆环外 加速度传感器的采集数据。为保证试验数据可靠性,每次 加载采集三次数据取平均值。试验中圆环内传感器采集的 部分振动如图5所示。.
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