Flexural vibration test of a cantilever beam with a force sensor: fast determination of Young's modulus
Flexural vibration test of a cantilever beam with a force sensor: fast determination of Young's modulus
复制标题
带力传感器的悬臂梁弯曲振动测试：快速测定杨氏模量
DOI：
10.1088/0143-0807/29/3/018
复制
发表时间：
2008
影响因子：
0.7
通讯作者：
R. Digilov
中科院分区：
文献类型：
--
作者：
R. Digilov
我们描述了一个简单的和非常便宜的本科实验室实验快速测定杨氏模量在中等温度下的力传感器的帮助。刚性螺栓连接到力传感器的条形试样形成了一个无夹持的悬臂梁。将其放置在炉中，进行自由弯曲振动，然后进行快速傅立叶变换以识别共振频率，由此根据Euler-Bernoulli梁模型计算杨氏模量。一系列不同的工业材料（不锈钢，铜，铝，有机玻璃，木材和getinax）获得的室温模量与现有的文献数据非常吻合。本文分析了在300-600 K范围内测量的不锈钢杨氏模量的温度依赖性。
We describe a simple and very inexpensive undergraduate laboratory experiment for fast determination of Young's modulus at moderate temperatures with the aid of a force sensor. A strip-shaped specimen rigidly bolted to the force sensor forms a clamped–free cantilever beam. Placed in a furnace, it is subjected to free-bending vibrations followed by a fast Fourier transform for identifying the resonant frequency, whereby Young's modulus is calculated from the Euler–Bernoulli beam model. Room temperature moduli obtained for a series of diverse industrial materials (stainless steel, copper, aluminium, Perspex, wood and getinax) are in excellent agreement with the available literature data. The temperature dependence of Young's modulus for stainless steel measured over the 300–600 K interval is analysed.