%0 Journal Article
	%A Hesham A. Elkaranshawy and  Amr M. Abdelrazek and  Hosam M. Ezzat
	%D 2015
	%J International Journal of Physical and Mathematical Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 106, 2015
	%T Power Series Solution to Sliding Velocity in Three-Dimensional Multibody Systems with Impact and Friction
	%U https://publications.waset.org/pdf/10002452
	%V 106
	%X 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.
	%P 599 - 602