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2015 | OriginalPaper | Buchkapitel

1. Analysing Human Walking Using Dynamic Optimisation

verfasst von : Meiyi Tan, Leslie S. Jennings, Song Wang

Erschienen in: Optimization Methods, Theory and Applications

Verlag: Springer Berlin Heidelberg

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Abstract

A mathematical model to simulate human walking motions and study the dynamics behind walking is developed which is adjustable to accommodate different cases such as the single and double support phases of walking. We first propose a technique for estimating joint moments and position coordinates of body segments using the method of inverse dynamics. The estimates are then used as initial joint torques for solving the model as an optimal control problem with the setup of appropriate objective functions and constraints. Numerical experiments on the developed model and solution technique have been performed and the numerical results show that the model is able to replicate human walking motions and the optimal joint torques can be calculated to produce the resulting motions.

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Literatur
Zurück zum Zitat Alexander RM (2003) Modelling approaches in biomechanics. Philos Trans Biol Sci 358(1437):1429–1435CrossRef Alexander RM (2003) Modelling approaches in biomechanics. Philos Trans Biol Sci 358(1437):1429–1435CrossRef
Zurück zum Zitat Anderson FC, Pandy MG (2001) Dynamic optimization of human walking. J Biomech Eng 123:381–390CrossRef Anderson FC, Pandy MG (2001) Dynamic optimization of human walking. J Biomech Eng 123:381–390CrossRef
Zurück zum Zitat Bessonnet G, Chessé S, Sardain P (2004) Optimal gait synthesis of a seven-link planar biped. Int J Robot Res 23:1059–1973CrossRef Bessonnet G, Chessé S, Sardain P (2004) Optimal gait synthesis of a seven-link planar biped. Int J Robot Res 23:1059–1973CrossRef
Zurück zum Zitat Bullimore SR, Burn JF (2006) Consequences of forward translation of the point of force application for the mechanics of running. J Theor Biol 238(1):211–219CrossRef Bullimore SR, Burn JF (2006) Consequences of forward translation of the point of force application for the mechanics of running. J Theor Biol 238(1):211–219CrossRef
Zurück zum Zitat Cavagna GA, Thys H, Zamboni A (1976) The sources of external work in level walking and running. J Physiol 262(3):639–657CrossRef Cavagna GA, Thys H, Zamboni A (1976) The sources of external work in level walking and running. J Physiol 262(3):639–657CrossRef
Zurück zum Zitat Chao EY, Rim K (1973) Application of optimization principles in determining the applied moments in human leg joints during gait. J Biomech 6:479–510CrossRef Chao EY, Rim K (1973) Application of optimization principles in determining the applied moments in human leg joints during gait. J Biomech 6:479–510CrossRef
Zurück zum Zitat Chow CK, Jacobson DH (1971) Studies of human locomotion via optimal programming. Math Biosci 10:239–306MATHCrossRef Chow CK, Jacobson DH (1971) Studies of human locomotion via optimal programming. Math Biosci 10:239–306MATHCrossRef
Zurück zum Zitat Dean GA (1965) An analysis of the energy expenditure in level and grade walking. Ergonomics 8:31–47CrossRef Dean GA (1965) An analysis of the energy expenditure in level and grade walking. Ergonomics 8:31–47CrossRef
Zurück zum Zitat Hardt M, Kreutz-Delgado K, Helton JW (1999) Optimal biped walking with a complete dynamical model. In: Proceedings of the 38th conference on decision and control, Phoeniz, pp 2999–3004 Hardt M, Kreutz-Delgado K, Helton JW (1999) Optimal biped walking with a complete dynamical model. In: Proceedings of the 38th conference on decision and control, Phoeniz, pp 2999–3004
Zurück zum Zitat Jennings LS, Fisher ME, Teo KL, Goh CJ (2000) MISER3 optimal control software (version 3): theory and user manual. Centre of Applied Dynamics and Optimization, The University of Western Australia Jennings LS, Fisher ME, Teo KL, Goh CJ (2000) MISER3 optimal control software (version 3): theory and user manual. Centre of Applied Dynamics and Optimization, The University of Western Australia
Zurück zum Zitat Koh MTH (2001) Optimal performance of the Yurchenko layout vault. PhD thesis, University of Western Australia Koh MTH (2001) Optimal performance of the Yurchenko layout vault. PhD thesis, University of Western Australia
Zurück zum Zitat Koh MTH, Jennings LS (2003) Dynamic optimization: inverse analysis for the Yurchenko layout vault in women’s artistic gymnastics. J Biomech 36(8):1177–1183CrossRef Koh MTH, Jennings LS (2003) Dynamic optimization: inverse analysis for the Yurchenko layout vault in women’s artistic gymnastics. J Biomech 36(8):1177–1183CrossRef
Zurück zum Zitat Kuo A (1998) A least-squares approach to improving the precision of inverse dynamics computations. J Biomech Eng 120(1):148–159CrossRef Kuo A (1998) A least-squares approach to improving the precision of inverse dynamics computations. J Biomech Eng 120(1):148–159CrossRef
Zurück zum Zitat Marshall RN (1985) Biomechanical performance criteria in normal and pathological walking. PhD thesis, University of Western Australia Marshall RN (1985) Biomechanical performance criteria in normal and pathological walking. PhD thesis, University of Western Australia
Zurück zum Zitat McGeer T (1988) Stability and control of two-dimensional biped walking. Technical report CSS-IS TR 99-01, Centre for Systems Science, Simon Fraser University, Burnaby McGeer T (1988) Stability and control of two-dimensional biped walking. Technical report CSS-IS TR 99-01, Centre for Systems Science, Simon Fraser University, Burnaby
Zurück zum Zitat Onyshko S, Winter DA (1980) A mathematical model for the dynamics of human locomotion. J Biomech 13(4):361–368CrossRef Onyshko S, Winter DA (1980) A mathematical model for the dynamics of human locomotion. J Biomech 13(4):361–368CrossRef
Zurück zum Zitat Pandy MG (2001) Computer modeling and simulation of human movement. Annu Rev Biomed Eng 3:245–273CrossRef Pandy MG (2001) Computer modeling and simulation of human movement. Annu Rev Biomed Eng 3:245–273CrossRef
Zurück zum Zitat Rehbock V, Teo KL, Jennings LS (1996) Optimal and suboptimal feedback controls for a class of nonlinear systems. Comput Math Appl 31(6):71–86MATHMathSciNetCrossRef Rehbock V, Teo KL, Jennings LS (1996) Optimal and suboptimal feedback controls for a class of nonlinear systems. Comput Math Appl 31(6):71–86MATHMathSciNetCrossRef
Zurück zum Zitat Ren L, Jones RK, Howard D (2007) Predictive modelling of human walking over a complete gait cycle. J Biomech 40(7):1567–1574CrossRef Ren L, Jones RK, Howard D (2007) Predictive modelling of human walking over a complete gait cycle. J Biomech 40(7):1567–1574CrossRef
Zurück zum Zitat Said M, Jennings LS, Koh MT (2006) Computational models satisfying relative angle constraints for 2-dimensional segmented bodies. Anziam J 47:541–554MathSciNetCrossRef Said M, Jennings LS, Koh MT (2006) Computational models satisfying relative angle constraints for 2-dimensional segmented bodies. Anziam J 47:541–554MathSciNetCrossRef
Zurück zum Zitat Selles RW, Bussmann JBJ, Wagenaar RC, Stam HJ (2001) Comparing predictive validity of four ballistic swing phase models of human walking. J Biomech 34(9):1171–1177CrossRef Selles RW, Bussmann JBJ, Wagenaar RC, Stam HJ (2001) Comparing predictive validity of four ballistic swing phase models of human walking. J Biomech 34(9):1171–1177CrossRef
Zurück zum Zitat Ünver NF, Tümer ST, Özgören MK (2000) Simulation of human gait using computed torque control. Technol Health Care 8(1):53–66 Ünver NF, Tümer ST, Özgören MK (2000) Simulation of human gait using computed torque control. Technol Health Care 8(1):53–66
Zurück zum Zitat Winter DA (1990) Biomechanics and motor control of human movement, 2nd edn. Wiley, Hoboken Winter DA (1990) Biomechanics and motor control of human movement, 2nd edn. Wiley, Hoboken
Zurück zum Zitat Winter DA (2009) Biomechanics and motor control of human movement, 4th edn. Wiley, HobokenCrossRef Winter DA (2009) Biomechanics and motor control of human movement, 4th edn. Wiley, HobokenCrossRef
Zurück zum Zitat Xiang Y, Arora JS, Rahmatalla S, Abdel-Malek K (2009) Optimization-based dynamic human walking prediction: one step formulation. Int J Numer Methods Eng 79(6):667–695MATHCrossRef Xiang Y, Arora JS, Rahmatalla S, Abdel-Malek K (2009) Optimization-based dynamic human walking prediction: one step formulation. Int J Numer Methods Eng 79(6):667–695MATHCrossRef
Zurück zum Zitat Xiang Y, Arora JS, Abdel-Malek K (2010) Physics-based modeling and simulation of human walking: a review of optimization-based and other approaches. Struct Multidiscip Optim 42(1):1–23MATHMathSciNetCrossRef Xiang Y, Arora JS, Abdel-Malek K (2010) Physics-based modeling and simulation of human walking: a review of optimization-based and other approaches. Struct Multidiscip Optim 42(1):1–23MATHMathSciNetCrossRef
Zurück zum Zitat Yamaguchi GT, Zajac FE (1990) Restoring unassisted natural gait to paraplegics via functional neuromuscular stimulation: a computer simulation study. IEEE Trans Biomed Eng 37(9):886–902CrossRef Yamaguchi GT, Zajac FE (1990) Restoring unassisted natural gait to paraplegics via functional neuromuscular stimulation: a computer simulation study. IEEE Trans Biomed Eng 37(9):886–902CrossRef
Metadaten
Titel
Analysing Human Walking Using Dynamic Optimisation
verfasst von
Meiyi Tan
Leslie S. Jennings
Song Wang
Copyright-Jahr
2015
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-47044-2_1