Modeling and simulation for steady state rotary motion of vortex rings umbrella

Abstract

In order to research the motion performance of vortex rings umbrella, finite element analytical approach is integrated to realize the complicated time varying motion mathematical model of vortex rings umbrella, as well as implements simulation and conformity validation for the model. At first, particle system is utilized to construct three-dimensional geometrical model of vortex rings umbrella according to the feature of non-linear ductile deformation of vortex rings umbrella motion, then establish kinetic model of particle node at the stage of steady state rotary motion, finally build simulation model, the calculation shows that motion variation laws of its result and experiment result are basically same, the model is deemed effective and correct. This simulation research can help rapid realization of engineering design of vortex rings umbrella and provide a new thought for the research of motion performance of vortex rings umbrella.