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Optimization solutions depend on the choice of coordinate system

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Języki publikacji
EN
Abstrakty
EN
The assumption that optimization results depend on coordinate system selected to describe a biomechanical model is tested by comparing two solutions obtained with generalized and natural coordinate systems. A 5-degrees of freedom planar musculoskeletal model actuated by 9 Hill-type musculotendon units was created to simulate lifting a leg up. Each individual muscle force was discretized into a set of independent design variables, and an inverse dynamic parameter optimization method was used in the computations. The optimal time characteristics of the predicted muscle forces for both solutions are presented. Some remarks concerning the efficiency of natural coordinates for solving optimal control problems are also included.
Rocznik
Strony
75--79
Opis fizyczny
Bibliogr. 14 poz., rys., tab., wykr.
Twórcy
autor
  • The Academy of Physical Education in Warsaw, External Faculty of Physical Education in Biała Podlaska, ul. Akademicka 2, 21-500 Biała Podlaska,, czaplicki@poczta.onet.pl
Bibliografia
  • [1] ACKERMANN M., SCHIEHLEN W., Physiological methods to solve the force-sharing problem in biomechanics, Multibody Dynamics 2007, ECCOMAS Thematic Conference, Bottasso C.I, Masarati P., Trainelli L.(eds.), Milan, 2007.
  • [2] ANDERSON F.C., PANDY M.G., A dynamic optimization solution for vertical jumping in three dimensions, Computer Methods in Biomechanics and Biomedical Engineering, 1999, 3, 201–231.
  • [3] ANDERSON F.C., PANDY M.G., Static and dynamic optimization solutions for gait are practically equivalent, Journal of Biomechanics, 2001, 34, 153–161.
  • [4] BLAJER W., CZAPLICKI A., Contact modeling and identification of planar somersaults on the trampoline, Multibody System Dynamics, 2003, 10, 289–312.
  • [5] CHOW C.K., JACOBSON D., Studies of human locomotion via optimal programming, Mathematical Biosciences, 1971, 10, 239–306.
  • [6] CZAPLICKI A., Are natural coordinates a useful tool in modeling planar biomechanical linkages? Journal of Biomechanics, 2007, 40, 2307–2312.
  • [7] DAVY D.T., AUDU M.L., A dynamic optimization technique for prediction muscle forces in the swing phase of gait, Journal of Biomechanics, 1987, 20, 187–201.
  • [8] GARCIA de JALÓN J., BAYO E., Kinematic and dynamic simulation of multibody systems: The real-time challenge, Springer, New York, 1993.
  • [9] HATZE H., The complete optimization of the human motion, Mathematical Biosciences, 1976, 28, 99–135.
  • [10] LOEBOUF F., BESSONNET G., SEGUIN P., LACOUTURE P., Energetic versus sthenic optimality criteria for gymnastic movement synthesis, Multibody System Dynamics, 2006, 16, 213–236.
  • [11] MAROŃSKI R., Methods of calculus of variation in biomechanics (in Polish), Publishing House of the Warsaw University of Technology, Warsaw, 1999.
  • [12] PANDY M.G., ANDERSON F.C., HULL D.G., A parameter optimization approach for the optimal control of large-scale musculoskeletal systems, Transactions of the ASME, Journal of Biomechanical Engineering, 1992, 114, 450–460.
  • [13] YAMAGUCHI G.T., SAWA A.G.U., MORAN D.W., FESSLER M.J., WINTERS, J.M., A survey of human musculotendon actuator parameters [in:] Winters J.M., Woo S.L.-Y. (eds.), Multiple Muscle Systems: Biomechanics and Movement Organization, Springer, New York, 1990, 718–749.
  • [14] ZAJAC F.E., Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control, CRC Critical Reviews in Biomedical Engineering, 1989, 17, 359–411.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0036-0011
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