How does the optimal solution differ from the exact one?

• Autorzy: Czaplicki A.
• Konferencja: Biomechanika'06 / Międzynarodowa Konferencja (06-08.09.2006 ; Zakopane, Polska)
• Języki publikacji: EN

Abstrakty

EN

This paper attempts to estimate the differences between the static optimization solution and the exact one. A multibody biomechanical model of a leg of the human being is presented. The model is based on natural coordinates. It is applied to the case of raising of the leg to solve individual muscle distribution problem. Some parameters of the obtained optimal solution are compared to the ones received through the solution of inverse dynamics problem.

Słowa kluczowe

EN

biomechanical model; muscle; legs; biomechanics

PL

mięśnie; nogi; biomechanika

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 26
• Strony: 75--80
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Czaplicki A.

• Department of Biomechanics, Academy of Physical Education in Warsaw, External Faculty of Physical Education in Biala Podlaska

Bibliografia

• [1] An K. N., Kwak B. M., Chao E. Y., Morrey B. F.: Determination of muscle and joint forces: A new technique to solve the indeterminate problem. ASME Journal of Biomechanical Engineering 1984, Vol. 106, pp. 364-367.
• [2] Anderson F. G, Pandy M. G.: Static and dynamic optimization solutions for gait are practically equivalent. Journal of Biomechanics 2001, Vol. 34, pp. 153-161.
• [3] Blajer W., Czaplicki A.: Contact modeling and identification of planar somersaults on the trampoline. Multibody System Dynamics 2003, Vol. 10, pp. 289-312
• [4] Crownmshield R. D., Brand R. A.: A physiologically based criterion of muscle force prediction m locomotion. Journal of Biomechanics 1981, Vol. 14 , pp. 793-801.
• [5] Czaplicki A., Silva M. T., Ambrôsio J. C: Biomechanical modelling for whole body motion using natural coordinates. Journal of Theoretical and Applied Mechanics 2004, Vol 42, pp. 927-944.
• [6] Davy D. T., Audu M. L.: A dynamic optimization technique for prediction muscle forces in the swing phase of gait. Journal of Biomechanics 1987, Vol. 20, pp. 187-201.
• [7] Glitsch L., Baumann W.: The three-dimensional determination of internal loads in the lower extremity. Journal of Biomechanics 1997, Vol. 30, pp. 1123-1131.
• [8] Happée R., Van der Helm F. C. T.: The control of shoulder muscles during goal directed movements, an inverse dynamic analysis. Journal of Biomechanics 1995, Vol. 28, pp. 1179-1191
• [9] Hatze H.: The complete optimization of the human motion. Mathematical Biosciences Vol. 23, pp. 99-135.
• [10] Li G., Kaufman K. R, Chao E. Y. S., Rubash H. E.: Prediction of antagonistic muscle forces using inverse dynamic optimization during flexion/extension of the knee. ASME Journal of Biomechanical Engineering 1999, Vol. 121, pp. 316-322.
• [11] Pairiarco A., G., Mann R. W., Simon S. R, Mansour J. M.: An evaluation of the approaches of optimization models in prediction of muscle forces during human gait. Journal of Biomechanics 1981, Vol. 14, pp. 513-525.
• [12] Pedersen D. R" Brand R. A., Cheng C, Arora J. S.: Direct comparison of muscle force predictions using linear and nonlinear programming. ASME Journal of Biomechanical Engineering 1987, Vol. 109, pp. 192-199. "
• [13] Seireg A., A., Arvikar R. J.: A mathematical model for evaluation of forces in lower extremities ot the musculoskeletal system. Journal of Biomechanics 1973, Vol. 6, pp.
• [14] Yamaguchi G T.: Dynamic modeling of musculoskeletal motion. Boston: Kluwer Academic P-irhshers. 2001.