抄録
There are many studies which deal with the vibration of a single-stage spur gear system, and its dynamic behavior has been investigated. In general, a multi-stage spur gear which has many sources of exciting force is used more often than a single-stage spur gear system. This study deals with the coupled lateral-torsional vibration of a two-stage spur gear system which has the same meshing period. First the equations of motion are derived which have periodically varing parameters. The form of tooth stiffness variation is assumed to vary as rectangular form and the solution of free vibration are obtained analytically. Then the stability of the system is analyzed. In this system, there are some instability regions which are not only principal parametric resonances but also combination resonances. Further, the influence of the phase difference between two meshing stiffnesses is discussed. In some cases, the phase difference between two meshing stiffnesses influences the instability regions considerablly.
