zbMATH — the first resource for mathematics

3D dynamic modelling of spatial geared systems. (English) Zbl 1015.70004
Summary: A nonlinearly dynamic model for a spatial geared system with intersecting axes, which consists of bevel gears, bearings, and shafts, is proposed based on a specific finite element theory. A new type of spatial gear element which is consistent with the specific finite element theory is developed. This element completely describes all the deformations that exist for the spatial motions of a pair of bevel gears, the time-variant meshing stiffness, and various types of gear errors in manufacturing and assembly. The three-dimensional motions of spatial geared system in axial, lateral, and torsional directions are coupled in the model. The proposed approach has been coded into a software system, and a dynamic analysis for the spatial geared system is carried out. In particular, we investigate the nonlinear influence of axial, lateral and torsional stiffnesses of the shaft on the vibration of spatial geared system. The lateral stiffness changes the resonance peak frequencies of the spatial geared system, and the torsional stiffness greatly affects the dynamic load and vibration amplitude.

70-08 Computational methods for problems pertaining to mechanics of particles and systems
70E60 Robot dynamics and control of rigid bodies
Full Text: DOI