Forward dynamics of two-dimensional skeletal models. A newton-euler approach

Journal of Applied Biomechanics

Volumn 20, Issue 4, 2004, Pages 421-449

  Casius, L J Richard ^a   Bobbert, Maarten F ^a   Van Soest, Arthur J ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Degrees of freedom; Equations of motion; Human; Kinematic constraints; Modeling; Motion simulation; Segments

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; KINEMATICS; MATHEMATICAL MODELS; MUSCULOSKELETAL SYSTEM; OPTIMIZATION;

MECHANICAL THEORY; TWO-DIMENSIONAL (2D) APPROXIMATION; TWO-DIMENSIONAL SKELETAL MODELS;

BIOMECHANICS;

ACCELERATION; ALGORITHM; ARTICLE; BIOLOGICAL MODEL; CYCLING; DYNAMICS; GRAVITY; HUMAN; JUMPING; KINEMATICS; MATHEMATICAL COMPUTING; MOTION; MUSCULOSKELETAL SYSTEM; NERVOUS SYSTEM;

EID: 8644284913     PISSN: 10658483     EISSN: None     Source Type: Journal    
DOI: 10.1123/jab.20.4.421     Document Type: Article

References (41)

1. Barret, R., van Soest, A.J., & Neal, R. (2002). A computer graphics model of muscle activation and contraction dynamics. Sports Biomechanics, 105, 121.
2. Baumgarte, J. (1972). Stabilization of constraints and integrals of motion in dynamic systems. Computer Methods and Applications to Mechanical Engineering, 1, 1-16.
3. Beelen, A., Sargeant, A.J., & Wijkhuizen, F. (1994). Measurement of directional force and power during human submaximal and maximal isokinetic exercise. European Journal of Applied Physiology, 68, 177-181.
4. Bobbert, M.F., & van Soest, A.J. (1994). Effects of muscle strengthening on vertical jump height: A simulation study. Medicine and Science in Sports and Exercise, 26, 1012-1020.
5. Bogert, A.J. v.d. (1990). Musculoskeletal modelling: The DADS experience. ISB Newsletter, 39, 4-6.
6. Brenan, K., Campbell, S., & Petzold, L. (1989). Numerical solutions of initial-value problems in differential-algebraic equations. New York: Elsevier.
7. Burden, R.L., & Fakes, J.D. (1989). Numerical analysis (4th ed.). Boston: PWS-Kent.
8. Casius, L.J.R. (1995). MUSK: A software system that supports computer simulations of large-scale realistic models of the neuro-musculo-skeletal system (Final report of Cray Reasearch Grants Program CRG 94.15). Vrije Universiteit, Faculty of Human Movement Sciences.
9. Dickenson, J.A., Cook, S.D., & Leinhard, T.M. (1985). The measurements of shock waves following heel strike when running. Journal of Biomechanics, 18, 415-422.
10. Dongarra, J.J., Bunch, J.R., Moler, C.B., & Stewart, G.W. (1979). LINPACK user's guide. Philadelphia: Society for Industrial and Applied Mathematics.
11. Gerristen, K.G.M., van den Bogert, A.J., & Nigg, B.M. (1995). Direct dynamics simulation of the impact phase in heel-toe running. Journal of Biomechanics, 28, 661-668.
12. Goffe, W.L., Ferrier, G.D., & Rogers, J. (1994). Global optimization of statistical functions with simulated annealing. Journal of Econometrics, 60(1/2), 65-100.
13. Gruber, K., Denoth, J., Stuessi, E., & Ruder, H. (1987). The wobbling mass model. Biomechanics X-B, Vol. 6b, 1095-1105.
14. Gruber, K., Ruder, H., Denoth, J., & Schneider, K. (1998). A comparative study of impact dynamics: Wobbling mass model versus rigid body models. Journal of Biomechanics, 31, 439-444.
15. Hatze, H. (1981a). A comprehensive model for human motion simulation and its application to the take-off phase of the long jump. Journal of Biomechanics, 14, 135-142.
16. Hatze, H. (1981b). Myocybernetic control models of skeletal muscle: Characteristics and applications. Pretoria: University of South Africa.
17. Haug, J.H. (1989). Computer-aided kinematics and dynamics of mechanical systems. Vol. 1: Basic methods. Needham Heights, MA: Allyn & Bacon.
18. Kane, T.R., & Levinson, D.A. (1985). Dynamics: Theory and application. New York: McGraw-Hill.
19. Kernighan, B.W., & Plauger, P.J. (1978). The elements of programming style. New York: McGraw-Hill.
20. Liu, W., & Nigg, B.M. (2000). A mechanical model to determine the influence of masses and mass distribution on the impact force during running. Journal of Biomechanics, 33, 219-224.
21. Neptune, R.R. (1999). Optimization algorithm performance in determining optimal controls in human movement analyses. Journal of Biomechanical Engineering, 121, 249-252.
22. Pandy, M.G., Zajac, F.E., Eunsup, S., & Levine, W.S. (1990). An optimal control model for maximum-height human jumping. Journal of Biomechanics, 23, 1185-1198.
23. Park, K.C., & Chiou, J.C. (1988). Stabilization of computational procedures for constrained dynamical systems. Journal of Guidance, Control, and Dynamics, 11, 365-370.
24. Schielen, W. (Ed.) (1990). Multibody systems handbook. Berlin: Springer Verlag.
25. Shabana, A. (1989). Dynamics of multibody systems. New York: Wiley.
26. Shampine, L.F., & Gordon, M.K. (1975). Computer solution of ordinary differential equations. The initial value problem. San Francisco: W.H. Freeman.
27. Soest, A.J.v., & Bobbert, M.F. (1993). The contribution of muscle properties in the control of explosive movements. Biological Cybernetics, 69, 195-204.
28. Soest, A.J.v., Bobbert, M.F., & Ingen Schenau, G.J.v. (1994). A control strategy for the execution of explosive movements from varying starting positions. Journal of Neurophysiology, 71, 1390-1402.
29. Soest, A.J.v., & Casius, L.J.R. (2000). Which factors determine the optimal pedaling rate in sprint cycling? Medicine and Science in Sports and Exercise, 32, 1927-1934.
30. Soest, A.J.v., & Casius, L.J.R. (2003). The merits of a parallel genetic algorithm in solving hard optimization problems. Journal of Biomechanical Engineering, 125, 141-146.
31. Soest, A.J.v., Haenen, W.P., & Rozendal, L.A. (2003). Stability of bipedal stance: The contribution of cocontraction and spindle feedback. Biological Cybernetics, 88, 293-301.
32. Soest, A.J.v., & Smith, R.M. (2001). Does the "no-slide- shooting" constraint limit rowing performance? Paper presented at the Proceedings of the VIIIth International Symposium on Computer Simulation in Biomechanics, Milano, Italy.
33. Stoer, J., & Bulirsch, R. (1980). Introduction to numerical analysis. New York: Springer-Verlag.
34. Strang, G. (1980). Linear algebra and its applications (2nd ed.). New York: Academic Press.
35. Wehage, R.A., & Haug, E.J. (1982). Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems. Journal of Mechanical Design, 104, 247-255.
36. Werff, K.v.d. (1977). Kinematic and dynamic analysis of mechanisms, a finite element approach. PhD Thesis, Delft University of Technology, Delft.
37. Wilkinson, J.M. (1963). Rounding errors in algebraic processes. Englewood Cliffs, NJ: Prentice Hall.
38. Yamaguchi, G.T. (2001). Dynamic modeling of musculoskeletal motion. A vectorized approach for biomechanical analysis in three dimensions. Norwell, MA: Kluwer Academic.
39. Zajac, F.E., & Gordon, M.E. (1989). Determinig muscle's force and action in multi-articular movement. Exercise and Sport Science Reviews, 17, 187-230.
40. Zajac, F.E., & Winters, J.M. (1990). Modeling musculoskeletal movment systems: Joint and body-segment dynamics, musculotendinous actuation and neuromuscular control. In J.M. Winter & S.L.-Y. Woo (Eds.), Multiple muscle systems (pp. 121-148). New York: Springer Verlag.
41. Zatsiorsky, V.M. (1998). Kinematics of human motion. Champaign, IL: Human Kinetics.