WASET
	@article{(Open Science Index):https://publications.waset.org/pdf/10002452,
	  title     = {Power Series Solution to Sliding Velocity in Three-Dimensional Multibody Systems with Impact and Friction},
	  author    = {Hesham A. Elkaranshawy and  Amr M. Abdelrazek and  Hosam M. Ezzat},
	  country	= {},
	  institution	= {},
	  abstract     = {The system of ordinary nonlinear differential
equations describing sliding velocity during impact with friction for a
three-dimensional rigid-multibody system is developed. No analytical
solutions have been obtained before for this highly nonlinear system.
Hence, a power series solution is proposed. Since the validity of this
solution is limited to its convergence zone, a suitable time step is
chosen and at the end of it a new series solution is constructed. For a
case study, the trajectory of the sliding velocity using the proposed
method is built using 6 time steps, which coincides with a Runge-
Kutta solution using 38 time steps.},
	    journal   = {International Journal of Physical and Mathematical Sciences},
	  volume    = {9},
	  number    = {10},
	  year      = {2015},
	  pages     = {599 - 602},
	  ee        = {https://publications.waset.org/pdf/10002452},
	  url   	= {https://publications.waset.org/vol/106},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 106, 2015},
	}