Dynamic Equations for System of Irregularly Shaped Plane Bodies
Publication: Journal of Engineering Mechanics
Volume 119, Issue 11
Abstract
A cluster of interconnected plane bodies is treated as a discrete system, and each body is considered as an irregularly shaped disk modeled by a system of circular disks bound together by finite bonding forces. The motion of interconnected bodies is governed by the system of differential and algebraic equations in which the differential part is associated with the topological tree and the algebraic one with the constraints imposed by the loops. For an arbitrary topology explicit expressions for the equations of motion are derived based on the Lagrangian approach. The equations are given in terms of the path matrix characterizing the topological tree. The analytical method of generation of equations of motion makes the computer simulation of the nonsteady motion of the discrete system of plane bodies more efficient in terms of both computer time and accuracy. It is achieved by avoiding operations with large sparse matrices (if the equations are generated numerically) and by canceling out some terms in Lagrange's equations analytically.
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References
1.
Huston, R. L. (1991). “Multibody dynamics—modeling and analysis methods.” Appl. Mech. Rev., 44(3), 109–117.
2.
Roberson, R. E., and Schwertassek, R. (1988). Dynamics of multibody systems. Springer‐Verlag, Berlin, Germany.
3.
Schiehlen, W. O. (1984). “Dynamics of complex multibody systems.” SM Archives, 9, 159–195.
4.
Thomas, S. (1991). “Dynamics of spacecraft and manipulators.” Simulation, 51(1), 56–72.
5.
Vinogradov, O. G. (1987). “Simulation methodology for a flow of interacting ice floes around an obstacle.” Int. J. of Modelling & Simulation, 7(1), 28–31.
6.
Vinogradov, O. G. (1992). “Explicit equations of motion of discrete system of disks in two dimensions.” J. Engrg. Mech., ASCE, 118(9), 1850–1858.
7.
Vinogradov, O. G., and Springer, A. (1990). “Simulation of motion of multibody system with interactions.” Proc. of the Summer Computer Simulation Conf., Society for Computer Simulation, San Diego, Calif., 51–55.
8.
Vinogradov, O. G., Springer, A., and Wierzba, P. (1990). “On computer simulation of ice motion in rivers.” Proc. of the Northern Hydrology Symp. Northern Hydrology: Selected Perspectives, Envir. Canada, Ottawa, Canada, 419–426.
9.
Wierzba, P., and Vinogradov, O. G. (1991). “Simulation of topologically variable multibody system in plane motion.” Proc. of the 1991 European Simulation Multiconference Modelling & Simulation, Society for Computer Simulation, San Diego, Calif., 935–940.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 11 • November 1993
Pages: 2226 - 2237
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: May 26, 1992
Published online: Nov 1, 1993
Published in print: Nov 1993
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