Static-dynamic combined topology optimization of gearbox housing under multiple loading conditions

A FE model for gearbox housing is built, on which static analysis, modal analysis and dynamic response analysis are conducted. On these bases a static-dynamic combined topology optimization on the structure is carried out with the stress, displacement, volume reduction ratio and 1st mode frequency as constraints and minimizing combined strain-energy index as objective. Based on the material density nephogram of optimized structure, the gearbox housing is modified, resulting in a weight reduction of 5.9%. In addition, the results of static and dynamic response analyses on modified structure indicate that the vibration of gearbox housing is also attenuated after optimization.