基于双材料悬臂梁热偏转效应的煤自燃温度测量方法

    Temperature measurement method of coal spontaneous combustion based on thermal deflection effect of bi-material cantilever beam

    • 摘要: 煤自燃是煤矿井下常见且危害极大的隐蔽灾害之一,其早期阶段温升缓慢,常规电学类或点式温度监测手段难以高精度探测微弱热信号。为有效监测煤自燃早期温度,提出了一种基于双材料悬臂梁热偏转效应的温度测量方法。双材料悬臂梁由2种不同热膨胀系数的材料构成,其自由端可产生热致位移,根据法布里−珀罗干涉原理对双材料悬臂梁热致位移偏转量进行检测,进而实现温度反演。在0~150 ℃温度范围内施加均匀温度场,采用Abaqus有限元软件对矩形双材料悬臂梁模型进行镀膜厚度、基底层和镀膜层打孔参数、悬臂梁不同结构形式的热−力结构耦合仿真,结果表明,“之”字形梁结构性能最优,其温度灵敏度为0.576 μm/℃。基于搭建的法布里−珀罗干涉位移测量平台,开展了双材料悬臂梁热偏转位移标定试验,分析了悬臂梁自由端腔长与光纤移动距离的关系、温度−位移的稳定性等,验证了光纤移动距离与腔长变化之间的线性关系。验证结果显示,拟合残差均方根误差为±0.15 µm,重复性试验中位移标准差为0.90 μm,并结合“之”字形梁仿真灵敏度,在 0~150 ℃ 的温度范围内,系统温度测量误差±0.26 ℃,验证了系统在微位移测量中的高精度与稳定性。该方法具有无源化、响应速度快、灵敏度高的特点,通过光纤易于组网,适用于煤自燃初期温度监测,可为早期煤自燃预警提供一种有效的技术手段。

       

      Abstract: Spontaneous combustion of coal is one of the common and extremely hazardous concealed disasters in underground coal mines. Its early stage is accompanied by a slow temperature rise, and conventional electrical or point-type temperature monitoring methods are hardly capable of detecting weak thermal signals with high precision. To effectively monitor the temperature during the early stage of coal spontaneous combustion, a temperature measurement method based on the thermal deflection effect of a bi-material cantilever beam is proposed. A bi-material cantilever beam is composed of two materials with different thermal expansion coefficients, and its free end can generate thermally induced displacement. The deflection of this thermally induced displacement of the bi-material cantilever beam is detected on the basis of the Fabry-Perot interferometry principle, thereby realizing temperature inversion. A uniform temperature field was applied within the temperature range of 0 ℃ to 150 ℃. The Abaqus finite element software was adopted to conduct thermal-mechanical structural coupling simulations on the rectangular bi-material cantilever beam model, focusing on parameters such as coating thickness, drilling parameters of the substrate layer and the coating layer, as well as different structural forms of the cantilever beam. The simulation results indicate that the “zigzag-shaped” beam structure exhibits the optimal performance, with a temperature sensitivity of 0.576 μm/℃. Based on the established Fabry-Perot interferometric displacement measurement platform, the calibration tests on the thermal deflection displacement of the bi-material cantilever beam were carried out. Analysis was conducted on the relationship between the cavity length at the free end of the cantilever beam and the fiber movement distance, as well as the stability of temperature-displacement. The linear relationship between the fiber movement distance and the cavity length variation was verified. The verification results show that the root-mean-square error of fitting is ±0.15 μm and the displacement standard deviation in the repeatability tests is 0.90 μm. Combined with the simulated sensitivity of the “zigzag-shaped” beam, the temperature measurement error of the system can reach ±0.26 ℃ within the range of 0-150 ℃, which verifies the high precision and stability of the system in micro-displacement measurement. This method features passivity, fast response speed and high sensitivity. It can be easily networked via optical fibers, making it suitable for temperature monitoring in the initial stage of coal spontaneous combustion. It thus provides an effective technical means for the early warning of coal spontaneous combustion.

       

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