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A Comparative Study of Frequency Response Models for Pressure Transmission System

압력전달시스템을 위한 주파수응답모델들의 비교 연구

  • Kim, Hyeonjun (Combustion Chamber Team, Korea Aerospace Research Institute) ;
  • Choi, Hwan-Seok (Combustion Chamber Team, Korea Aerospace Research Institute)
  • Received : 2019.12.30
  • Accepted : 2020.03.05
  • Published : 2020.04.01

Abstract

Dynamic pressure transducer needs to be flush-mounted on hardware due to frequency response characteristics of pressure transmission system. However, it is sometimes necessary to be mounted in recessed configuration due to insufficient space for sensor installation and for protection of sensor from thermal damage. Dynamic response characteristics should be considered due to distortion of original dynamic pressure signal in the pressure transmission system. In this study, small perturbation model and 2nd order reduced model were compared with experiments and a guideline for selecting a frequency response model was suggested.

압력전달시스템의 주파수응답특성의 효과 때문에 동압센서를 하드웨어에 flush 마운트 형태로 설치해야 한다. 그러나 측정을 위한 포트 주변의 협소한 조건 혹은 고온의 연소가스로부터 센서가 손상되는 것을 막기 위해 벽면 안쪽에 recess 마운트 방식을 설계하기도 한다. 압력전달시스템에서 동압 신호의 왜곡이 발생하기 때문에 동적 응답 특성을 반드시 고려해야 한다. 본 연구에서는 섭동 모델과 2차 축소 모델을 실험치와 비교하였고 주파수응답모델을 선택하기 위한 가이드라인을 제시하였다.

Keywords

References

  1. Doebelin, E. O. Measurement Systems: Application and Design, McGraw-Hill, New York, 1990.
  2. Bajsic, I., Kutin, J., and Zagar, T. "Response Time of a Pressure Measurement System with a Connecting Tube," Instrumentation Science & Technology, Vol. 35, No. 4, 2007, pp. 399-409 doi:10.1080/10739140701436579.
  3. Goody, M. C., and Simpson, R. L. An Experimental Investigation of Pressure Fluctuations in Three-Dimensional Turbulent Boundary Layers: Defense Technical Information Center, Fort Belvoir, VA, 1999.
  4. Holman, J. P. Experimental Methods for Engineers, McGraw-Hill/Connect Learn Succeed, Boston, 2012.
  5. Whitmore, S. A., and Leondes, C. T. "Pneumatic Distortion Compensation for Aircraft Surface Pressure Sensing Devices," Journal of Aircraft, Vol. 28, No. 12, 1991, pp. 828-836 doi:10.2514/3.46105.
  6. Winroth, P. M. "Characterization of and Correction for Pressure-Measurement Installation," Centres, Competence Center for Gas Exchange (CCGEx), 2017, p. 11.
  7. Bergh, H., and Tijdeman, H. Theoretical and Experimental Results for the Dynamic Response of Pressure Measuring Systems. Publication Report. NLR-TR-F. 238. National Aero and Astronautical Research Institute(NATIONAAL LUCHT- EN RUIMTEVAARTLABORATORIUM), 1965.
  8. Kobayashi, H., Leger, T., and Wolff, J. M. "Experimental and Theoretical Frequency Response of Pressure Transducers For High Speed Turbomachinery," International Journal of Turbo and Jet Engines, Vol. 17, No. 2, 2000 doi:10.1515/TJJ.2000.17.2.153.
  9. Ingard, U. I. "On the Theory and Design of Acoustic Resonators," Journal of the Acoustical Society of America, Vol. 25, No. 6, 1953, pp. 1037-1061. https://doi.org/10.1121/1.1907235
  10. Kim, S., and Kim, Y.-H. "Resonance Frequency Shifts of Helmholtz Resonator Array Panel Brought by Change in Resonator Arrangements," Korean Society for Noise and Vibration Engineering(KSNVE), 2005, pp. 97-100.
  11. Ver, I. L., and Beranek, L. L., Eds. Noise and Vibration Control Engineering: Principles and Applications. Wiley, Hoboken, N.J, 2006.
  12. Dickey, N. S., and Selamet, A. "Helmholtz Resonators: One-Dimensional Limit for Small Cavity Length-to-Diameter Ratios," Journal of Sound and Vibration, Vol. 195, No. 3, 1996, pp. 512-517 doi:10.1006/jsvi.1996.0440.
  13. Mekid, S., and Farooqui, M. "Design of Helmholtz Resonators in One and Two Degrees of Freedom for Noise Attenuation in Pipelines," Acoustics Australia, Vol. 40, No. 3, 2012, pp. 194-202.
  14. Monteiro, M., Marti, A. C., Vogt, P., Kasper, L., and Quarthal, D. "Measuring the Acoustic Response of Helmholtz Resonators," The Physics Teacher, Vol. 53, No. 4, 2015, pp. 247-249 doi:10.1119/1.4914572.
  15. Webster, E. S., and Davies, C. E. "The Use of Helmholtz Resonance for Measuring the Volume of Liquids and Solids," Sensors, Vol. 10, No. 12, 2010, pp. 10663-10672 doi:10.3390/s101210663.
  16. Kirby, R., and Duan, W. "Sound Radiation from the Open End of Pipes and Ducts in the Presence of Mean Flow," Acoustics, 2017, p. 9.
  17. Lawrence E. Kinsler, Austin R. Frey, Alan B. Coppens, and James V. Sanders. Fundamentals of Acoustics, John Wiley & Sons Inc., 2000.
  18. Ji, Z. L. "Acoustic Length Correction of Closed Cylindrical Side-Branched Tube," Journal of Sound and Vibration, Vol. 283, No. 3-5, 2005, pp. 1180-1186 doi:10.1016/j.jsv.2004.06.044.
  19. Schuder, C. B., and Binder, R. C. "The Response of Pneumatic Transmission Lines to Step Inputs," Journal of Basic Engineering, Vol. 81, 1959, pp. 578-584. https://doi.org/10.1115/1.4008563
  20. Hougen, J. O., Martin, O. R., and Walsh, R. A. "Dynamics of Pneumatic Transmission Lines," Control Engineering, Vol. 10, No. 9, 1963, pp. 114-117.
  21. Elson, J. P., and Soedel, W. "Criteria for the Design of Pressure Transducer Adapter Systems," International Compressor Engineering Conference, 1972, p. 6.
  22. Whitmore, S. A., and Fox, B. "Improved Accuracy, Second-Order Response Model for Pressure Sensing Systems," Journal of Aircraft, Vol. 46, No. 2, 2009, pp. 491-500 doi:10.2514/1.36262.
  23. Casiano, M. J. Extracting Damping Ratio From Dynamic Data and Numerical Solutions. Publication NASA/TM 2016-218227. 2016, p. 42.
  24. Stecki, J. S., and Davis, D. C. "Fluid Transmission Lines-Distributed Parameter Models Part 1: A Review of the State of the Art," Proceedings of the Institution of Mechanical Engineers, Part A: Power and Process Engineering, Vol. 200, No. 4, 1986, pp. 215-228. https://doi.org/10.1243/PIME_PROC_1986_200_032_02
  25. Iberall, A. S. "Attenuation of Oscillatory Pressures in Instrument Lines," Journal of Research of the National Bureau of Standards, Vol. 45, No. 1, 1950, p. 85 doi:10.6028/jres.045.008.
  26. Svete, A., and Kutin, J. "Optimal Dimensions of Connecting Tubes for Dynamic Measurements of Pressure," Journal of Physics: Conference Series, Vol. 1065, 2018, p. 162006 doi:10.1088/1742-6596/1065/16/162006.
  27. Fisher, A., Watkins, S., and Watmuff, J. "Dynamic Calibration of Pressure Measurement Systems: An Improved Method," 18th Australasian Fluid Mechanics Conference, 2012, p. 4.
  28. Johnson, R. B. A Technique for Measuring Unsteady Pressures. NAVAL Postgraduate School, 1968.
  29. Holmes, J. D., and Lewis, R. E. "The Dynamic Response of Pressure - Measurement Systems," 9th Australasian Fluid Mechanics Conference, 1986, p. 4.
  30. Boerrigter, H. L., and Charbonnier, J. M. Design and Calibration of an Unsteady Pressure Measurement System,. Presented at the ICIASF'97 Record. International Congress on Instrumentation in Aerospace Simulation Facilities, 1997.
  31. van Ommen, J. R., Schouten, J. C., vander Stappen, M. L. M., and van den Bleek, C. M. "Response Characteristics of Probe-Transducer Systems for Pressure Measurements in Gas-Solid Fluidized Beds: How to Prevent Pitfalls in Dynamic Pressure Measurements," Powder Technology, Vol. 106, No. 3, 1999, pp. 199-218 doi:10.1016/S0032-5910(99)00078-9.
  32. Yunas A. Cengel, and Michael A. Boles. Thermodynamics: An Engineering Approach. McGraw-Hill, 2003.
  33. Jakevicius, L., Demcenko, A., and Mardosaite, R. "Ultrasound Attenuation Dependence on Air Compression or Expansion Processes," Ultragarsas, Vol. 65, No. 1, 2010, pp. 42-46.
  34. Walter, T., Gossweiler, C., and Willson, B. "Application of an Improved Model for the Determination of Acoustic Resonances in Indicator Passages for Combustion Pressure Measurements in Large Bore Gas Engines," Kistler, p. 14.
  35. Rayleigh, J. W. S. The Theory of Sound. London: The Macmillan Company, 2nd edn. Reprinted 1945, New York: Dover Publications, 1876.
  36. Singh, S. Tonal Noise Attenuation in Ducts by Optimising Adaptive Helmholtz Resonators. MS thesis. The Univ. of Adelaide, Australia, 2006.
  37. Piezoelectric Accelerometers: Theory and Application. Metra Mess- und Frequenztechnik, 2001.