A comparison of instrument response correction methods: Post-processing and real-time methods

Aleksandar Mihaylov , Hesham El Naggar
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Abstract

Industrial vibration monitoring often requires sensors with adjustable sensitivity and suitable frequency range. In practice, most industrial studies utilize either geophones (velocimeters) or accelerometers. In some cases, where low frequency content is of interest, larger sensor will be required. In difficult installation conditions, it can be advantageous to utilize smaller, higher frequency sensor elements (geophones or accelerometers) to simplify installation and maintenance. A frequency correction of sensors or the recorded waveforms will be needed to accommodate the frequency range of interest. Most accelerometers have relatively smaller sensitivity at low frequency which can affect the calculation of vibration velocity and displacement at low frequencies. Geophones are limited by their frequency response, which drops-off significantly their sensitivity below the resonant frequency of the sensor. Structural and ground vibrations that occur under the resonant frequency could be observed at test sites, but the recorded waveforms cannot be used directly for real-time assessment, and therefore it can be beneficial to artificially expand the frequency range below the sensor's frequency cutoff. Methods for such expansion, were developed and are well established in seismological studies and exploratory geophysics. Usually, these procedures are applied in data post-processing. These methods are not applicable when an operator requires real-time feedback of the measured vibrational amplitude, for example, monitoring of machinery foundations, where excitation control is necessary to avoid infrastructure damage.

This paper presents an approach for instrument frequency extension in the necessary low-frequency range of common geophone elements in real-time applications and compares the results of the proposed technique in post-processing and in real time data collection systems.

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仪器响应校正方法的比较:后处理与实时方法
工业振动监测通常需要具有可调灵敏度和合适频率范围的传感器。在实践中,大多数工业研究使用检波器(测速仪)或加速度计。在某些情况下,低频内容感兴趣,将需要更大的传感器。在困难的安装条件下,使用更小、频率更高的传感器元件(检波器或加速度计)可以简化安装和维护。需要对传感器或记录的波形进行频率校正,以适应感兴趣的频率范围。大多数加速度计在低频时的灵敏度相对较小,这会影响低频时振动速度和位移的计算。地震检波器受其频率响应的限制,其灵敏度在传感器的谐振频率以下显著下降。在测试现场可以观察到在谐振频率下发生的结构和地面振动,但记录的波形不能直接用于实时评估,因此人工扩大低于传感器频率截止的频率范围是有益的。这种扩展的方法在地震学研究和勘探地球物理学中得到了发展和完善。通常,这些程序应用于数据后处理。当操作员需要实时反馈测量到的振动幅度时,这些方法就不适用了,例如,在监测机械基础时,需要励磁控制以避免基础设施损坏。本文提出了一种实时应用中在常用检波器元件所需的低频范围内进行仪器频率扩展的方法,并比较了该方法在后处理和实时数据采集系统中的效果。
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