ON THE DYNAMICS OF A PARTICLE INSIDE A U – SHAPED ROTATING THIN TUBE
In this paper the problem of the strongly nonlinear motion of a particle on a rotating parabola is generalized for an arbitrary U-shaped curve. The governing equation of motion is deducted and then particularized on three cases, namely quadratic parabola, quartic parabola and cosine curve. Each case is numerically investigated for various small and large parameters and the results are contrasted with those provided by a relatively new analytical technique called energy balance method. The importance of the relative equilibrium points on the particle’s dynamics is highlighted.
I , as main author, declare and undersign, that the paper is an original and common work of me and all subsequent authors. The paper as a whole or part of it has not been published or submitted to other Journal. The right to publish the accepted paper is transferred to and owned by “Annals of Constanta Maritime University” Journal.