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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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.
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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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