Abstract
The position state and velocity state of a rigid body are known once position and velocity of every point of the body can be determined from sets of variables which have been called position variables and velocity variables. These variables may be independent or interrelated, but at least six independent variables are required to represent the corresponding states of an unconstrained rigid body.
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References
Pars, L.A., A Treatise of Analytical Dynamics, J. Wiley & Sons, NY, 1968.
Hamel, G., Theoretische Mechanik, Springer-Verlag, Berlin, 1978.
Kane, T.R., Levinson, D.A. Dynamics, Theory and Applications, McGraw-Hill, NY, 1985.
Golub, G.H., van Loan, CF., Matrix Computations, Johns Hopkins University Press, Baltimore MD, 1983.
Päsler, M. Prinzipe der Mechanik, Walter de Gruyter, Berlin, 1968.
Shigley, J.E., Uicker, J.J. Jr., Theory of Machines and Mechanisms, McGraw-Hill, Tokyo, 1980.
Dizioglu, B., Getriebelehre, F.Vieweg, Braunschweig, 1965.
Sheth, P.N., “A digital computer based simulation procedure for multiple degree of freedom mechanical systems with geometric constraints”, PhD dissertation, University of Wisconsin, Madison, 1972.
Denavit, J., Hartenberg, R.S., “A kinematic notation for lower pair mechanisms based on matrices”, J. Appl. Mech. 22 (1955), 215–221.
Sandor, G.N., Erdman, A.G., Advanced Mechanism Design: Analysis and Synthesis, Vol.2, Prentice-Hall, Englewood Cliffs, 1984.
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© 1988 Springer-Verlag Berlin Heidelberg
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Roberson, R.E., Schwertassek, R. (1988). Kinematical Equations of Motion. In: Dynamics of Multibody Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86464-3_5
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DOI: https://doi.org/10.1007/978-3-642-86464-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-86466-7
Online ISBN: 978-3-642-86464-3
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