A new numerical method of solution has been developed for the analysis of deformation and stresses in elastic bodies subjected to mixed boundary-conditions. The program is capable of dealing with both regular and irregular shapes of boundaries appropriately. An ideal mathematical model, based on the displacement potential function, has been used in the finite difference solution. The present pa...

The paper presents the methodology of modelling tooth flanks of cylindrical gears in the CAD environment. The modelling consists in a computer simulation of gear generation. A model of tooth flanks is an envelope curve of a family of envelopes that originate from the rolling motion of a solid tool model in relation to a solid model of the cylindrical gear. The surface stereometry and topography...

The kinematical accuracy of robot is very important. It is induced by the rigidity of each mechanism of the robot. The paper presents a numerical method to evaluate the rigidity of worm-gearing teeth. The software, including setting-up and graphic display, could be adopted of any kind of cylindrical worm-gear drive or for spur gear drives and bevel gear drives, mechanisms which are in the robot...

An optimization mathematical model for designing two-stage cylindrical gear reducer is firstly constructed based upon the drive principles and design criteria of cylindrical gear transmission. Then some techniques for calculating the key performance parameters, such as profile factor and dynamic load coefficient, etc., and revising the corresponding boundary constraints dynamically during the o...