Abstract
This paper presents a computational procedure for deriving and solving the governing dynamical equations of multi-body human systems subjected to impact. The procedure is developed on the basis of the assumption that the duration of the impact is very short, during which the configuration of the system remain the same, although the velocities of the system have undergone significant changes. These assumptions lead to a set of linear algebraic equations for the velocity increments. These equations may then be solved to obtain initial conditions for the analysis of the subsequent motion of the multi-body human system. A calculating task of ejecting seat problem is presented to illustrate and validate the procedure.
Chapter PDF
Similar content being viewed by others
References
Wittenburg, J.: Dynamics of Systems of Rigid Bodies. Stuttgart, Germany (1977)
Huston, R.L., Passerello, C.E., Harlow, M.W.: Dynamics of multi-rigid-body systems. Journal of applied Mechanics 45, 889–894 (1978)
Kane, T.R., Levinson, D.A.: Formulation of equations for motion for complex spacecraft. Journal of Guidance Control 3, 99–112 (1980)
Kane, T.R., Levinson, D.A.: Multi-body dynamics. Journal of applied Mechanics 50, 1071–1078 (1983)
Nikravesh, P.E.: Computer-Aided Analysis of Mechanical Systems. Prentice Hall, Englewood Cliffs, NJ (1988)
Roberson, R.E., Schwertassek, R.: Dynamics of Multi-body Systems. Springer, Berlin (1988)
Shabana, A.A.: Dynamics of Multi-body Systems. Wiley, New York (1989)
Schielen, W.: Multi-body Systems Handbook. Springer, Berlin (1990)
Huston, R.L.: Multi-body Dynamics. Butterworth-Heinemann, Stoneham, MA (1990)
Kane, T.R., Levinson, D.A.: Dynamics: Theory and Applications. McGraw Hill, New York (1985)
Amirouche, F.M.L., Shareef, N.H.: Gain in computational efficiency by vectorization in the dynamic simulation of multi-body systems. Computers & Structures 41(2), 293–302 (1991)
Huston, R.L., Passerello, C.E.: On the dynamics of a human body model. Journal of Biomechanics 4, 369–378 (1971)
Adrian, M.J., Copper, J.M.: Biomechanics of Human Movement, Benchmark Press, Inc. (1989)
Glitsch, U., Farkas, R.: Applications of a multi-body simulation model in human movement studies. Journal of Biomechanics 27(6), 778 (1994)
Bobbert, M.F., van Soest, A.J.: Effects of muscle strengthening on vertical jump height: a simulation study. Medicine and Science in Sports and Medicine 26, 1012–1020 (1994)
Gerritsen, K.G.M., Nachbauer, W., van den Bogert, A.J.: Computer simulation of landing movement in downhill skiing: anterior cruciate ligament injuries. Journal of Biomechanics 29, 845–854 (1996)
Huang, S.-C.: Analysis of human body dynamics in simulated rear-end Impacts. Human Movement Science 17, 821–838 (1998)
Hardin, E.C., Su, A., van den Bogert, A.J.: Foot and ankle forces during an automobile collision: the influence of muscles. Journal of Biomechanics 37, 637–644 (2004)
Kane, T.R.: Impulsive motions. Journal of applied Mechanics 29, 715–718 (1961)
Keller, J.B.: Impact with friction. Journal of applied Mechanics 53, 1–4 (1986)
Nigg, B.M., Bobbert, M.F.: On the potential of various approaches in load analysis to reduce the frequency of sports injuries. Journal of Biomechanics 23(Suppl. 1), 3–12 (1990)
Pain, M.T.G., Challis, J.H.: The influence of soft tissue movement on ground reaction forces joint torques and joint reaction forces in drop landings. Journal of Biomechanics 39, 119–124 (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Qiao, M., Yang, C., Yuan, Xg. (2007). The Application of Kane Equation in the Impact Prediction of Human Motion. In: Duffy, V.G. (eds) Digital Human Modeling. ICDHM 2007. Lecture Notes in Computer Science, vol 4561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73321-8_22
Download citation
DOI: https://doi.org/10.1007/978-3-540-73321-8_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73318-8
Online ISBN: 978-3-540-73321-8
eBook Packages: Computer ScienceComputer Science (R0)