On the simulation of vibrations of industrial gear drives (Complex interactions of physics, mathematics, numerics, and experiments)

摘要

In the design stage of a gear drive with spur or helical gears, there is need for a reliable simulation of the vibrations, mainly because of their sound generation. This topic is discussed in view of problems addressed in the subtitle. Enclosure Methods were instrumental in the discovery of paradoxes in the interchange of simulation and computation. These paradoxes are partly due to the employment of standard numerical methods in conjunction with certain commercial compilers. The paper is confined to the case of the absence of imperfections of all kinds in the gear drive.