Abstract
We offer the rationale for considering tuning out of resonance in gait to be a phenomenon at least as important as tuning to resonance. The latter is a traditional topic in biomechanical analysis, while antiresonance activity in the human body has not been investigated. We suggest a model of spectral optimization where the control vector consists of stiffnesses in joints. The proposed approach bridges resonance and antiresonance control with the design of prosthetic joints.
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References
Abramov YS (1983) Variational methods in the theory of operator pencils. Leningrad University, Leningrad
Aliev FA, Larin VB (1998) Optimization of linear control systems : analytical methods and computational algorithms. Gordon and Breach, Amsterdam, The Netherlands
Aristotle (1934) The Physics. Harvard University, Cambridge, Mass
Aristotle (1981) On the movement and progression of animals. Hildesheim, New York, Olms
DeSmidt HA, Wang KW, Smith EC (2002) Coupled Torsion-Lateral Stability of a Shaft-Disk System Driven Through a Universal Joint. J Appl Mech 69(3):261–273
Duffin RJ (1960) The Rayleigh-Ritz method for dissipative or gyroscopic systems. Quart Appl Math 18:215–221
Hof AL, Pronk CN, van Best JA (1987) Comparison between EMG to force processing and kinetic analysis for the calf muscle moment in walking and stepping. J Biomech 20(2):167–178
Lacquaniti F, Ivanenko YP, Zago M (2002) Kinematic control of walking. Arch Ital Biol 140(4):263–272
McCronville J, Churchill T, Kaleps I, Clauser C, Cuzzi J (1980) Anthropometric relationships of body and body segments moments of inertia. Anthropology Research Project, Yellow Springs, OH
McMahon TA (1984) Muscles, Reflexes, and Locomotion. Princeton University, Princeton
Mendelevich I, Pitkin M (1989) Orthopedic shoes for children with cerebral palsy in residual stage and with “pes equino-varus congenital” which is feebly marked or was surgically treated. Proceedings of the XII International Congress of Biomechanics. Los Angeles, CA, pp 375–376
OttoBock (1999) New generation leg system revolutionizes lower limb prostheses. Orthot Prosthet Bus News 8(19):47–49
Perry J (1992) Gait Analysis: normal and pathological function. Slack, Thorofare, NJ
Pitkin M (1975) Kinematic and Dynamic Analysis of Human Gait (Rus). Proceedings of the First All-Union Conference in Biomechanics. RNIITO, Riga, Latvia, pp 279–283
Pitkin M (1986) Biomechanical requirements for polymer orthopedic shoes (Rus). Prostheses Prosthet 76:83–91
Pitkin M (1989) Tuning out of resonance during walking and requirements for footwear. Proceedings of the XII International Congress of Biomechanics. Los Angeles, CA, pp 336–337
Pitkin M (1991) New stride phases and the development of sport shoe prototype to assist the calf muscles during heel-off. Proceedings of the 15th Annual Meeting, American Society of Biomechanics. Tempe, Arizona, pp 266–267
Pitkin M (1995a) Artificial knee having dual flexion action during locomotion. U.S. Patent No. 5,405,408. Washington, D.C.: U.S. Patent and Trademark Office
Pitkin M (1995b) Mechanical outcome of a rolling joint prosthetic foot, and its performance in dorsiflexion phase of the trans-tibial amputee gait. J Prosthet Orthot 7(4):114–123
Pitkin M (2008) Principle of Spectral Reciprocity in Biomechanics of Locomotion and Rehabilitation. Open Rehabil J 1(4):1–4
Pitkin M, Hays J, Srinivasan S, Colvin J (2001) Artificial foot and ankle Washington, D.C.: U.S. Patent and Trademark Office, Ohio Willow Wood Company. Mount Sterling, OH
Pitkin MR (2006) Biomechanics of lower limb prosthetics (Rus). St. Petersburg, Russia, People and Health, 131 p. Library of Congress Control Number 2006936949
Stansfield BW, Hillman SJ, Hazlewood ME, Robb JE (2006) Regression analysis of gait parameters with speed in normal children walking at self-selected speeds. Gait Posture 23(3): 288–294
Vlasov VZ, Leontiev NN (1966) Beams, plates and shells on elastic foundations. (Balki, plity i obolochki na uprugom osnovanii). Jerusalem, Israel Program for Scientific Translations; U.S. Clearinghouse for Federal Scientific and Technical Information, Springfield, VA: viii, 357 p
Питкин МР (1984) Управление движением многозвенника как проблема управления спектром операторного пучка. Материалы III Всесоюзн. совещания по робото-техн. системам. Воронеж 4:66–67
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Pitkin, M.R. (2010). Principle of Spectral Reciprocity in Biomechanics of Locomotion. In: Biomechanics of Lower Limb Prosthetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03016-1_6
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DOI: https://doi.org/10.1007/978-3-642-03016-1_6
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