Optimal design of a vibration absorber for tremor control of arm in Parkinson's disease

Hosseini, Rouhollah; Firoozbakhsh, Keikhosrow; Naseri, Hossein

doi:10.22061/jcarme.2014.62

Document Type : Research Paper

Authors

¹ Ph. D. student, Department of Mechanical Engineering, University of Tehran, Tehran, Iran

² Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

³ M. Sc. Student, Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

https://doi.org/10.22061/jcarme.2014.62

Abstract

Because the underlying physiology of pathological tremor in a Parkinson's patient is not well understood, the existing physical and drug therapies have not been successful in tremor treatment. Different mathematical modeling of such vibration has been introduced to investigate the problem and reduce the existing vibration. Most of the models have represented the induced vibration as a sinusoidal wave for mathematical simplification. In this study, a more realistic model based on random vibration was used to attack the problem of tremor suppression. A simple approach for suppressing the tremor associated with Parkinson's disease was presented. This paper was concerned with a multi-objective approach for optimum design of linear vibration absorber subject to random vibrations. Analytical expressions, for the case of non-stationary white-noise accelerations, were also derived. The present approach was different from conventional optimum design criteria since it was based on minimizing displacement as well as accelerating variance of the main structure responses without considering performances required against discrepancy in response. In this study, in order to control the tremor induced on biomechanical arm model excited by non-stationary based acceleration random process, multi-objective optimization (MOO) design of a vibration absorber was developed and performed using modern imperialist competitive optimization algorithm for multi-objective optimization. The results demonstrated importance of this method and showed that multi-objective design methodology provided significant improvement in performance stability and giving better control of the design solution choice.

Keywords

20.1001.1.22287922.2014.3.2.1.3

Main Subjects

Vibration

References

[1] J. Parkinson, An essay on the shaking palsy: Printed by Whittingham and Rowland for Sherwood, Neely, and Jones, (1817).

[2] M. J. Griffin, Handbook of human vibration: Academic press, (1990).

[3] D. Karnopp, "Active and semi-active vibration isolation", Journal of Mechanical Design, Vol. 117, p. 177, (1995).

[4] R. Hosseini and H. Salehipoor, "Optimum design process of vibration absorber via imperialist competitive algorithm", International Journal of Structural Stability and Dynamics, Vol. 12, No. 3, (2012).

[5] J. Sun, M. R. Jolly and M. Norris, "Passive, adaptive and active tuned vibration absorbers-a survey", Journal of mechanical design, Vol. 117, No. 2, p. 234, (1995).

[6] R. Jazar, "Vibration Optimization," in Advanced Vibrations, ed: Springer US, , pp. 545-590, (2013).

[7] P. E. O'Suilleabhain and J. Y. Matsumoto, "Time-frequency analysis of tremors", Brain, Vol. 121, No. 11, pp. 2127-2134, November 1, (1998).

[8] C. Teixeira, E. Bicho, L. Rocha and M. Gago, "A self-tunable dynamic vibration absorber: Parkinson's Disease's tremor suppression", in Bioengineering (ENBENG), 2013 IEEE 3rd Portuguese Meeting in, pp. 1-6, (2013).

[9] A. As’arry, M. Z. Md Zain, M. Mailah, and M. Hussein, "Hybrid learning control for improving suppression of hand tremor", Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, July 30, No.11, (2013).

[10] R. J. Verstappen, C. T. Freeman, E. Rogers, T. Sampson and J. H. Burridge, "Robust higher order repetitive control applied to human tremor suppression", in Intelligent Control (ISIC), 2012 IEEE International Symposium on, pp. 1214-1219, (2012).

[11] M. L. Corradini, M. Gntilucci, T. Leo and G. Rizolatti, "Motor control of vohmtaxy arm movement",Biol. Cybern., Vol. 57, No.1, pp. 347-360, (1992).

[12] J. R. Flanagan, A. G. Feldman and D. J. Ostry, "Equilibrium trajectories underlying rapid taxget-directed arm movements", Tuto Motor Behav, pp. 661-675, (1992).

[13] K. M. Jackson and J. Joseph, "A mathematical model of axrn swing during human locomotion", Biomech, Vol. 11, No. 6-7, pp. 277-289, (1978).

[14] T. T. Soong and M. Grigoriu, "Random vibration of mechanical and structural systems", NASA STI/Recon Technical Report A, Vol. 93, No. 1, p. 14690, (1993).

[15] E. A. Gargari, F. Hashemzadeh, R. Rajabioun and C. Lucas, "Colonical competitive algorithm: a novel approach for PID controller design in MIMO distillation column process", International Journal of Intelligent Computing and Cybernetics, Vol. 1, No. 3, pp. 337-355, (2008).

[16] R. Rajabioun, E. Atashpaz-Gargari and C. Lucas, "Colonial competitive algorithm as a tool for Nash equilibrium point achievement", in Computational science and its applications–iccsa 2008, ed: Springer, pp. 680-695, (2008).

[17] E. Atashpaz-Gargari and C. Lucas, "Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition", in Evolutionary Computation, CEC 2007. IEEE Congress on, pp. 4661-4667, (2007).

[18] E. Atashpaz-Gargari and C. Lucas, "Designing an optimal PID controller using Colonial Competitive Algorithm", in First Iranian Joint Congress on Intelligent and Fuzzy Systems, (2007).

[19] A. Khabbazi, E. Atashpaz-Gargari, and C. Lucas, "Imperialist competitive algorithm for minimum bit error rate beamforming",International Journal of Bio-Inspired Computation, Vol. 1, No. 1, pp. 125-133, (2009).

[20] H. Tajimi, "A statistical method of determining the maximum response of a building structure during an earthquake," in Proceedings of the 2nd world conference on earthquake engineering, pp. 781-798, (1960).

[21] D. E. Newland, An introduction to random vibrations, spectral and wavelet analysis: Dover Publications. com, 2012.

[22] P. C. Jennings, "Periodic response of a general yielding structure", Journal of the Engineering Mechanics Division, ASCE, Vol. 90, No. 2, pp. 131-166, (1964).

[23] S. H. Crandall and W. D. Mark, Random vibration in mechanical systems Vol. 284: Academic Press New York, (1963).

[24] S. O. Rice, "Mathematical analysis of random noise", Bell Systems Tech. J., Vol. 23, No. 1, p. 282-332, (1944).

[25] S. M. Hashemi, M. F. Golnaraghi and A. E. Patla, "Tuned vibration absorber for suppression of rest tremor in Parkinson's disease", Medical and Biological Engineering and Computing, Vol. 42, No. 1, pp. 61-70, 2004/01/01, (2004).

Name *

Email Address *

Affiliation *

Comments *

Security Code *

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Optimal design of a vibration absorber for tremor control of arm in Parkinson's disease

References

References

Send comment about this article

Volume 3, Issue 2 - Serial Number 2
June 2014
Pages 85-94

Optimal design of a vibration absorber for tremor control of arm in Parkinson's disease

References

References

Send comment about this article

Volume 3, Issue 2 - Serial Number 2June 2014Pages 85-94

Volume 3, Issue 2 - Serial Number 2
June 2014
Pages 85-94