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FxLMS Algorithm for Active Vibration Control of Structure By Using Inertial Damper with Displacement Constraint

관성형 능동 댐퍼를 이용한 구조물 진동 제어에서 댐퍼 질량의 변위 제한을 고려한 FxLMS 알고리즘

  • Kang, Min Sig (Department of Mechanical Engineering, Gachon University)
  • 강민식 (가천대학교 기계공학과)
  • Received : 2021.04.13
  • Accepted : 2021.07.16
  • Published : 2021.10.05

Abstract

Engine is the main source of vibration that generates unwanted noise and vibration of vehicle chassis. Especially, in submarine applications, radiation of noise signatures can be detected at some distance away from the submarine using a sonar array. Thus quiet operation is crucial for submarine's survivability. This study addresses reduction of the force transmissibility originating from engines and transmitted to hull through engine mounts. An inertial damper, as an actuator of hybrid mount system, is addressed to reduce even further the level of vibration. Narrow band FxLMS algorithms are broadly used to cancel the vibration of engine mount because of its excellent performance of canceling narrow band noise. However, in real active dampers, the maximum displacement of damper mass is kinematically restricted. When the control input signal from the FxLMS algorithm exceeds this limitation, the damper mass will collide with the mechanical stops and results in many problems. Originated from these, a modified narrow band FxLMS algorithm based on the equalizer technique with the maximum allowable displacement of active damper mass is proposed in this study. Some simulation results showed that the propose algorithm is effective to suppress vibration of engine mount while ensuring given displacement constraint.

Keywords

References

  1. Yu, Y., Naganathan, N. G., and Dukkipati, R. V., A Literature Review of Automotive Vehicle Engine Mounting Systems, Mechanism and Machine Theory, Vol. 36, No. 1, pp. 123~142, 2001. https://doi.org/10.1016/S0094-114X(00)00023-9
  2. Winberg, M., Hansen, C., Claesson, I., and Li, X., Active Control of Engine Vibrations in a Collins Class Submarine, Blekinge Institute of Technology Research Report No. 2003:11, 2003.
  3. Moon, S. J., Choi, S. M., Jeong, J. A., Choi, S. B., Jung, W. J., and Koo, J. Y., "A Study on Development of an Active Hybrid Mount for Naval Shipboard Equipment," Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 20, No. 7, pp. 685-692, 2010. https://doi.org/10.5050/KSNVE.2010.20.7.685
  4. Cho, H. Y., Moon S. J., Shin, Y. H., Jung, W. J., and Won, M. C., "A Comparative Study on the Dynamic Characteristics and Control Performances of Hybrid Mounts According to Element Configuration," Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 22, No. 6, pp. 556-563, 2012. https://doi.org/10.5050/KSNVE.2012.22.6.556
  5. Benassi, L. and Elliot, S. J., "Active Vibration Isolation Using an Inertial Actuator with Local Force Feedback Control," J. of Sound and Vibration, Vol. 276, No. 4/5, pp. 705-724, 2004. https://doi.org/10.1016/j.jsv.2003.10.065
  6. Oh, J. S., Choi, S. B., Nguyen, V. Q., and Moon, S. J., "Evaluation of Vibration Control Performance for Active Hybrid Mount System Featuring Inertial Actuator," Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 21, No. 8, pp. 768~773, 2011. https://doi.org/10.5050/KSNVE.2011.21.8.768
  7. Jiao, X., Zhang, Y., and Chai, S., "The Design of an Electromagnetic Damping Vibration Absorber," Applied Mechanics and Materials, Vol. 268-270, pp. 1332-1336, 2012. https://doi.org/10.4028/www.scientific.net/AMM.268-270.1332
  8. Airimitoaie, T. B. and Landau, I. D., "Robust and Adaptive Active Vibration Control Using an Inertial Actuator," IEEE Trans. on Industrial Electronics, Vol. 63, No. 10, pp. 6482~6489, 2016. https://doi.org/10.1109/TIE.2016.2548438
  9. Kuo, S. M. and Motgan, D. R., Active Noise Control Systems, John Wiely & Sons, Inc., 1996.
  10. Lu, L., Yin, K., and Lamare, R. C., Zheng, Z., Yu, Y., Yang, X., and Chen, B., "A Survey on Active Noise Control in the Past Decade - Part I: Linear Systems," Signal Processing, Vol. 183, pp. 1~22, 2021.
  11. Lu, L., Yin, K., and Lamare, R. C., Zheng, Z., Yu, Y., Yang, X., and Chen, B., "A Survey on Active Noise Control in the Past Decade - Part II: Nonlinear Systems," Signal Processing, Vol. 181, pp. 1~16, 2021.
  12. Guo, R., Wei, A., and Gao, J., "Extended Filtered-x-Least-Mean-Square Algorithm for Active Control Engine Mount based on Acceleration Error Signal," Advances in Mechanical Engineering, Vol. 9, No. 9, pp. 1~11, 2017.
  13. Qiu, X, Hansen, CH: "A Study of Time-domain FXLMS Aalgorithms with Control Output Constraint," J. Acoustical Society of America, Vol. 109, No. 6, pp. 2815-2823, 2001. https://doi.org/10.1121/1.1367247
  14. Zhang, Z., Hu, F., and Wan, J., "On Saturation Suppression in Adaptive Vibration Control," J. of Sound and Vibration, Vol. 329, pp. 1209~1214, 2010. https://doi.org/10.1016/j.jsv.2009.11.027
  15. Kozacky, W. J. and Ogunfunmi, T., "An Active Noise Control Algorithm with Gain and Power Constraints on the Adaptive Filter," J. on Advances in Signal Processing, Article Number: 17, 2013.
  16. Shi, D., Gan, W., Lam, B., and Shi, C., "Twogradient Direction FXLMS: An Adaptive Active Noise Control Algorithm with Output Constraint," Mechanical Systems and Signal Processing, Vol. 116, pp. 651~667, 2019. https://doi.org/10.1016/j.ymssp.2018.06.062
  17. Kuo, S. M. and Ji, M. J., "Development and Analysis of an Adaptive Noise Equalizer," IEEE Trans. Speech Audio Processing, Vol. 3, pp. 217~222, 1995. https://doi.org/10.1109/89.388150