Elastic travelling waves in multi-dimensional structures with application to self propulsion

Proceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010

Volumn , Issue , 2010, Pages 3785-3799

  Setter, E ^a   Bucher, I ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC WAVES; ITERATIVE METHODS; MICROBIOLOGY; MICROORGANISMS; NUMERICAL MODELS; PROPULSION; REYNOLDS NUMBER; STRUCTURAL DYNAMICS; THIN WALLED STRUCTURES; WAVE TRANSMISSION;

DEFORMATION PATTERN; IN-LABORATORY EXPERIMENTS; LEAST SQUARES ESTIMATION; LOW REYNOLDS NUMBER; MULTI-DIMENSIONAL STRUCTURE; OPERATIONAL MECHANISM; WAVE IDENTIFICATION; WAVELENGTH OPTIMIZATION;

NUMERICAL METHODS;

EID: 84950987360     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (41)

1. A. Minikes, I. Bucher, Non-contacting lateral transportation using gas squeeze film generated by flexural travelling waves-numerical analysis, J. Acoustic. Soc. Am, 113, 2003, pp. 2464-2473.
2. A. Minikes, R. Gabay, I. Bucher, M. Feldman, On the sensing and tuning of progressive structural vibration waves, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control (2005), 52(9), pp. 1565-1575.
3. Y. Chen, S. Ma and B. Li Wang, Analysis of travelling wave locomotion of snake robot, Proceedings of the 2003 IEEE, International Conference on Robotics, Intelligent Systems, and Signal Processing, Changsha, China, October 2003.
4. L. E. Becker, S. A. Koehler, H. A. Stone, On self-propulsion of micro-machines at low Reynolds number: Purcell's three-link swimmer, J. Fluid Mech. (2003), vol. 490, pp. 15-35.
5. W. J. O'Connor, D. Lang, Position control of flexible robot arms using mechanical waves, ASME Journal of Dynamics Systems, Measurement and Control, vol. 120, no. 3, pp. 334-339, Sept. 1998.
6. Iwamoto, H., Tanaka, N., Adaptive feed-forward control of flexural waves propagating in a beam using smart sensors, Smart Materials and Structures 14(6), 2005, pp. 1369-1376.
7. Iwamoto, H., Tanaka, N., Feedforward control of flexural waves propagating in a rectangular panel, Journal of Sound and Vibration 324(1-2), 2009, pp. 1-25.
8. M. Kuribayashi, S. Ueha, E. Mori, Excitation conditions of flexural travelling waves for a reversible ultrasonic linear motor, Journal of the Acoustical Society of America, 77, 1985, pp. 1431-1435.
9. S. Ueha, Y. Tomikawa, with contributions from M. Kurosawa and N. Nakamura Ultrasonic Motors: Theory and Applications, Oxford, Clarendon Press, 1993.
10. J. F. Manceau, S. Biwersi and F. Bastin, On the generation and identification of travelling waves in non-circular structures-application to innovative piezoelectric motors, Smart Material Structures, vol. 7 pp. 337-344, 1997.
11. J. F. Manceau, F. Bastin, Production of quasi-travelling wave in a silicon rectangular plate using single phase drive, Transactions on Ultrasonic, Ferroelectric, and Frequency Control, vol. 42 no. 1, 1995.
12. R. Gabai, I. Bucher, Spatial and temporal excitation to generate travelling waves in structures, Journal of Applied Mechanics, vol. 77(2), 021010, 2010.
13. Tanaka, N., Snyder, S. D., Kikushima, Y., Kuroda, M., Vortex structural power flow in a thin plate and the influence on the acoustic field, Journal of the Acoustical Society of America 96(3), 1994, pp. 1563-1574.
14. T. H. Vose, P. Umbanhowar, K. M. Lynch, Friction-induced velocity fields for point parts sliding on a rigid oscillated plate, International Journal of Robotics Research, 28(8):1020-1039, August 2009.
15. C. Fink, S. Ergu'n, D. Kralisch, U. Remmers, J. Weil, T. Eschenhagen, Chronic stretch of engineered heart tissue induces hypertrophy and functional improvement, The FASEB Journal, vol. 14, pp. 669-679, 2000.
16. I. Bucher, Exact adjustment of dynamic forces in presence of non linear feedback and singularity - theory and algorithms, Journal of Sound and vibration 218(1), pp. 1-27, 1998.
17. E. Lauga, T. R. Powers, The hydrodynamics of swimming microorganisms Rep. Prog. Phys. 72, pp. 36 (2009).
18. C. Brennen, H. Winet, Fluid Mechanics of propulsion by cilia and flagella, Ann. Rev. Fluid Mech. 1977, 9:339-98.
19. K. M. Ehlers, A. D. Samuel, H. C. Berg, R. Montgomery, Do Cyanobacteria swim using travelling surface waves? Biophysics, Vol. 93, pp. 8340-8343, 1996.
20. B. Brahamsha, Non-flagellar Swimming in Marine Synechococcus, Journal of Molecular Biotechnology, vol. 1, pp 59-62, 1999.
21. M. Purcell, Life at low Reynolds Number, American Journal of Physics, vol. 45, pp. 3-11, 1977.
22. J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics, with special application to particulate media, Martinus Nijhoff Publishers, The Hauge, 1983
23. S. Childress, Mechanics of Swimming and Flying, Cambridge University Press, 1981.
24. Sir M. J. Lighthill, On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers, Communications on Pure and Applied Mathematics, vol. 5, pp. 109-118 (1952).
25. J. R. Blake, A spherical envelope approach to ciliary propulsion, Journal of Fluid Mechanics, vol. 46, pp. 199-208, 1971.
26. J. R. Blake, Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number, Bulletin of the Australian Mathematical Society, Cambridge University Press, Vol. 5(1971), pp. 255-264.
27. Sir G. I. Taylor, Analysis of the swimming of microscopic organisms, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 209, pp. 447-61 (1951).
28. Sir G. I. Taylor, The Action of waving cylindrical tails in propelling microscopic organisms, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 211, pp. 225-239, (1952).
29. G. J. Hancock, The Self-Propulsion of Microscopic Organisms through Liquids, Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, Vol. 217, pp. 96-121 (1953)
30. J. Gray, G. J. Hancock, The Propulsion of Sea-Urchin Spermatozoa, Journal of Experimental Biology, 32, 802-814 (1955).
31. Sir M. J. Lighthill, Mathematical Biofludiddynamics, University of Cambridge, 1975.
32. A. Shapere, F. Wilczek, Geometry of self-propulsion at low Reynolds number, Journal of Fluid Mechanics, vol. 198, pp. 557-585, 1989.
33. A. Shapere, F. Wilczek, Efficiencies of self-propulsion at low Reynolds number, Journal of Fluid Mechanics, vol. 198, pp. 587-599, 1989.
34. J. E. Avron, O. Gat, O. Kenneth, Optimal Swimming at low Reynolds Numbers, Physical Review Letters, vol 93, no. 18, 2004.
35. K. Gabor, Micro robots for medical applications, PhD Thesis, Technion-Isreali Institute of Technology, 2006.
36. G. K. Youngren and A. Acrivos, Stokes flow past a particle of arbitrary shape: a numerical method of solution, J. Fluid Mech. Vol. 69, part 2, pp. 377-403 (1975).
37. N. Phan-Thien, T. Tran-Cong, M. Ramia, A boundary-element analysis of flagellar propulsion, J. Fluid Mech. vol. 184, pp. 533-549 (1987)
38. D. J. Earl, C. M. Pooley, J. F. Ryder, Irene Bredberg, and J. M. Yeomans, Modeling microscopic swimmers at low Reynolds number, The Journal Of Chemical Physics 126, 064703 (2007)
39. M. T. Downton, H. Stark, Simulation of a model micro swimmer, J. Phys.: Condens. Matter, 21, 204101 (2009)
40. E. Gauger, H. Stark, Numerical study of a microscopic artificial swimmer, Physical Review E 74, 021907 (2006)
41. R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, J. Bibette, Microscopic artificial swimmers, Nature Vol. 437, pp. 862 (2005)