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TECHNICAL PAPERS

Modified Lagrange Method to Analyze Problems of Sliding and Rolling

[+] Author and Article Information
A. Rosen

Faculty of Aerospace Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 67(4), 697-704 (Mar 12, 2000) (8 pages) doi:10.1115/1.1328088 History: Received November 29, 1999; Revised March 12, 2000
Copyright © 2000 by ASME
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References

Neimark, I., Jr., and Fufaev, N. A., 1972, Dynamics of Nonholonomic Systems, The American Mathematical Society, Providence, RI (translation of the Russian book from 1967).
Hamel, G., 1949, “Theoretische Mechanik,” Die Grundlehren der Mathematischen Wissenschaften in Ein Zeldarstellungen, Band LVII, Springer, Berlin, pp. 464–473.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computational Methods for Dynamic Friction Phenomena,” Comput. Methods Appl. Mech. Eng., 52, pp. 527–634.
Banerjee,  A. K., and Kane,  T. R., 1994, “Modeling and Simulation of Rotor Bearing Friction,” AIAA J. Guidance and Control, 17, No. 5, pp. 1137–1139.
Bauchau,  O. A., 1999, “On the Modeling of Friction and Rolling in Flexible Multi-Body Systems,” Multibody Syst. Dyn., 3, pp. 209–239.

Figures

Grahic Jump Location
Definition of sliding, pivoting, and rolling
Grahic Jump Location
A circular disk that rolls and slides on a rough surface
Grahic Jump Location
A special case of Caplygin’s sleigh
Grahic Jump Location
Description of Euler angles. (x,y,z) and (ξ,η,ζ) represent a body system of coordinates before and after the rotation, respectively.

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