Vibration analysis on multi-mesh gear-trains under combined deterministic and random excitations

In this paper, the vibration of a gear train with multi-meshes under both deterministic and random loads is investigated. The equation of motion is solved with stochastic Newmark algorithm and the responses of the displacements, including means and standard deviations, are obtained through numerical integration. The nonlinearity caused by the clearance between meshing teeth is treated with statistic linearization techniques. Examples of gear trains working under heavy load and light load are simulated and the result shows that the system behaves linearly under heavy load and nonlinearly with softening spring character under light load.