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This paper,based on finite element method,analyzed the profile modification of involute spline coupling,and investigated the effects of modified quantity and modified position,as well as considered the effect of profile modification on angular misalignment of involute spline coupling. The results show that: the contact pressure and contact length of modified spline coupling increases with the increase of applied torque. The maximum contact pressure first decreases and then increases when both of modified quantity and modified position increases,and the best modified quantity making the maximum contact pressure minimum increases with the increase of the amount of angular misalignment. The appropriate profile modification of involute spline coupling can effectively reduce the maximum contact pressure and the phenomena of concentrated contact stress,and improve the tooth surface contact pressure distribution,and mitigate the adverse effects caused by angular misalignment.

Swelling, that is, volumetric expansion, of particles is ubiquitous in many industrial systems containing both swellable particles and non‐swellable particles. However, the interactions between these two types of particles and the internal stress distribution within the binary particle systems are not yet fully understood. The dynamic behavior of binary mixtures with both swellable and non‐swellable particles was explored for the first time in this study by employing a microscopic diffusion swelling model that considers the change in microstructure of swelling particles implemented in the discrete element method coupled with computational fluid dynamics (DEM‐CFD). The expansion of particle bed consists of super absorbent polymers (SAPs) particles, that is, the swellable particles, and polyformaldehyde (POM) particles, that is, the non‐swellable particles, in a rectangle container is then analyzed experimentally and numerically. The results show that a tapered pattern of SAP particles and an arch pattern of POM particles are formed during the swelling process. The Lacey index is used to quantify the mixing degree of the binary particle system, which increases with time until the POM particle layer is fully encompassed by SAP particles. The mean stress distribution within the particle system is also examined, revealing that the swollen SAP particles migrate upward through a "low‐stress channel," pushing the POM particles in the central area outward. Moreover, it is found that, for case with a relative low friction, SAP particles penetrate the POM particle layer along the container walls, while for the cases with relative high friction, SAP particles penetrate the POM particle layers through the central regions of the container. [ABSTRACT FROM AUTHOR]

For the planet transmission device whose sun gear shaft is connected with tooth coupling,floating displacement of the sun gear directly determines tilt angle compensating of the tooth coupling,However,because of the sun gear ’s floating displacement multiply affects by comprehensive errors of planetary gear train parts,Its real value is difficult to calculate and measure accurately. This paper proposed a method,which is based on the dynamics analysis principle,to solve the sun gear’s floating displacement. It applies the means of equivalent meshing error to consider the manufacture and installation error of planetary gear train key components,a dynamic model of planetary gear train has been built,and according to the geometric relations between drum shaped spline and sun gear shaft,the tooth profile of drum gear has been modified to reduce the misalignment of the two connecting shafts. Finally,the experiment of certain planetary-gear transmission demonstrates that theoretical model is correct and possesses significant value of engineering applications.

In theoretically,all teeth of spline pair transmitted the same load. In practice,due to manufacturing and mounting errors,not all teeth transmit the same load and as a result,the overloading condition may occur. Based on finite element method,the distribution of contact pressure and load among teeth of involute spline pair with the conditions of angular misalignment,parallel misalignment and those two combined misalignment are investigated. The results have certain guiding significance and engineering application value in guiding involute spline pair manufacturing and assembly.