Vol. 20 No. 3 (2017) Cover Image
Vol. 20 No. 3 (2017)

Published: June 30, 2017

Pages: 770-777

Articles

Estimating Transfer Function of Below-Knee Prosthesis at Two Phases of Gait Cycle

Mahmud Rasheed Ismail 1 Imad Zuhair Ghani 2
1 Department of Prosthetics and Orthotics Engineering, College of Engineering, Al-Nahrain University
2 Mechanical Eng. Dep., Coll. of Engineering, AL-Nahrain University
History
  • Received: February 28, 2017
  • Available Online: June 14, 2017

Abstract

The modern development in prosthetics field demand the evaluation of the dynamical behavior and automatic control .The key process in the design and implement of these devices is the determination of the model parameters inherited with the transfer function .In such complicated structures it is so difficult to evaluate transfer function analytically ,however experimental approaches can serve as a simple and effective tool for estimating transfer function and model parameters .In this regard computer software such as Matlab is used .System Identification SID refers to the method for estimating the system transfer function from experimental tests by using computer .In the present paper; SID method is employed for analyzing below-knee prosthesis leg .In order to simulate with the practical requirement for design and evaluation ,two phases of human gait are considered ,namely; swing phase and single support of stance phase .The validity of this method is firstly checked by applying it on clamped-clamped beam model where the required parameters are evaluated and compared theoretically (via modal analysis) and experimentally (via System identification) .It is found that ; the error in estimating the transfer function parameter of beam is not exceeded 6% . Then the transfer function of the prosthesis are estimated for two phases of gait cycle .It is found that; the estimated transfer function of the prosthesis leg is highly affected by the phase type of gait cycle , where ;the natural frequency highly increases, the static gain decrease for support phase as compared with the swing phase ,however the damping ratio does not affected .

Keywords

References

  1. M. Basseville, M. Abdelghani, and A. Benveniste. Subspace-Based," Fault Detection Algorithms for Vibration Monitoring. Automatica", 36(1):101–109, January 2000.
  2. L. Mevel, and M. Goursat. M. Basseville, ,"Statistical System-Based Damage Detection and Localization :Subspace-Based Residuals and Damage-To-Noise Sensitivity Ratios." Journal of Sound and Vibration, 275(3):769–794, August 2004.
  3. D. C. Zimmerman, M. Kaouk, and T. W. Simmermacher. ,"Structural Health Monitoring Using Vibration Measurements and Engineering Insight", Journal of Mechanical Design(1990), 117(B):214–221, 1995.17th IFAC World Congress (IFAC'08) Seoul, Korea, July 6-11, 2008
  4. Sabri Sentürk ,"Experimental Determination of Transfer Functions For a Car Body-In-White,",A thesis submitted to the graduate school of natural and applied sciences of the SIDdle east technical university,2004
  5. I.Goethals. and B. De Moor. "Subspace Identification Combined With New Mode Selection Techniques for Modal Analysis of an Airplane". In Proceedings of the 13th IFAC Symposium on System Identification (SYSID 2003), Rotterdam, The Netherlands, September 2003
  6. Bart Peeters, Patrick Guillaume, Herman Van der Auweraer,Bart Cauberghe, Peter Verboven, Jan Leuridan, "Automotive and Aerospace Applications of The Polymax Modal Parameter Estimation Method"The International Modal Analysis Conference, Kissimmee (FL), USA, February 2003.
  7. Betlef Hummes ,Frank stratmann ,Heinze Fissan “Experimental Determination of Transfer Function of a Differential Mobility Analyzer (DMA) in The Nanometer Size Range ,1999.
  8. N. Karimi, S. H. Jin and M. J. Brear ,"An Experimental Study of The Transfer Function of a Ducted, Laminar Premixed Flame", 16th Australasian Fluid Mechanics Conference Crown Plaza, Gold Coast, Australia 2-7 December 2007,1340-1343.
  9. B.Peeters, P. Van Der Linden and C. De Veuster. ,"Performance of Miniature Shakers for Vehicle Component Testing." In Proceedings of IMAC 22, the International Modal Analysis Conference, Dearborn (MI), USA, January 2004.
  10. D. J. Ewins. ."Modal Testing: Theory, Practice and Application.", Research Studies Press Ltd, Hertfordshire, 2000.
  11. W. Heylen, S. Lammens, and P. Sas. "Modal Analysis: Theory and Testing. ",Department of Mechanical Engineering,Katholieke Universiteit Leuven, Leuven, Belgium,1998.
  12. B. Cauberghe. "Applied Frequency-Domain System Identification in the Field of Experimental and Operational Modal Analysis". PhD thesis, Vrije Universiteit Brussel, May 2004.
  13. P.Guillaume, P. Verboven and S. Vanlanduit. "Frequency-Domain Maximum Likelihood Identification of Modal Parameters With Confidence Intervals". In Proceedings of ISMA 23, the International Conference on Noise and Vibration Engineering, Leuven, Belgium, 16–18 September 1998.
  14. H.Van Der Auweraer, P. Guillaume, P. Verboven And S. Vanlanduit.," Application of a Fast-Stabilizing Frequency Domain Parameter Estimation Method". ASME Journal of Dynamic Systems, Measurement, and Control, 123(4), 651–658, 2001.
  15. P.Guillaume, P. Verboven, S. Vanlanduit, H. Van Der Auweraer And B. Peeters. ,"A Poly-Reference Implementation of The Least-Squares Complex Frequency-Domain Estimator". The International Modal Analysis Conference, Kissimmee (FL), USA, February 2003.
  16. G. Canales and L. Mevel. ."A Quasi Newton Based System Validation Procedure for Improving Parameter Estimation",.In Proceedings of the (IOMAC), Aalborg, DK,April 2007
  17. P.Verboven."Frequency Domain System Identification for Modal Analysis." PhD Thesis, Vrije Universiteit Brussel, Belgium, 2002
  18. R.Pintelon and J. Schoukens..' System Identification: a Frequency Domain Approach". IEEE Press, New York, USA, 2001