Thrust stand model analysis and thrust positioning based on screw algebra
The screw theory and coordination between deformation and displacement were applied to research the octagonal orthogonal box-type thrust stand in screw modeling,model solving,error compensation,and thrust positioning.Screw model of the stand was established based on the two major characteristics of load eccentricity and force coupling.And constraint equations for model solution were derived based on the branches deformation constraint relationship.Numerical examples and simulations showed that the maximum relative error of the screw model was 9.147‰.An error compensation model was established based on the coordinated relationship between the branches deformation and the stand displacement.Numerical examples and simulations showed that the minimum compensation for force was 78.03%.The Poinsot's central axis theorem of the screw theory was used to clarify the uncertainty of vector thrust positioning,which was caused by ignoring the influence of pure couple in the resultant force.The analytic method indicated that the effect of mass center offset on vector thrust uncertainty was linear.