The space curve meshing wheel (SCMW) has been studied previously for small power transmission. To extend its application in conventional power transmission, the bending strength of the SCMW needs to be studied. In this paper, the tine's section of the SCMW is optimized, the mechanical model of the bending strength is deduced according to the equations for a couple of given contact curves of the SCMW, and the design formulas of the tines are newly deduced based on the equal bending strength principle. Finally, one design example of a SCMW with elliptical torus cross-section tines is provided. The result shows that the theoretical design attained from the presented formulas coincides with that from the finite element analysis. It dedicates that the SCMW possesses enough equal bending strength to be used to in conventional industrial gearing device design.

In this paper, key structures of the RV reducer were calculated by finite element method respectively, including the stress and deformation of cycloidal-pin wheel and eccentric shaft. The results show that the contact stress and equivalent stress of cycloidal-pin wheel and eccentric shaft are far less than the strength of materials. It means the strength is not the main consideration of design and manufacture. The stiffness of eccentric shaft is less than the cycloidal-pin wheel, which had a great influence on the transmission accuracy of the machine. In order to improve the rigidity so as to improve the transmission accuracy of gear reducer machine, the modification methods and modification should be chosen to design by the deformation.

Based on the theory of space curve meshing, a space curve meshing wheel (SCMW) transmission mechanism has been invented by present authors in recent years. To extend applications of the SCMW, design methods for a novel micro-reducer with multioutput shafts distributed in regular polygon form is proposed in the paper. It is featured with three regular polygons nested. The middle regular polygon, named as reference regular polygon (RRP), is composed of transmission shafts. Three aspects are proposed as below to design the reducer: first, primary design parameters are determined by research and experience, and formulas of center distances are derived; second, an approach to establish the analytical model of the RRP simply and effectively is presented, which shows that the geometric dimensions of the reducer mainly depend on the side length of the RRP; and third, the novel micro-reducer is determined after the side length formulas of the RRP derived from the model. The simplicity and effectiveness of the formulas presented are demonstrated by a series of computational simulations.

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