某直升机主减速器行星轮系功质比的区间多目标优化

针对某型直升机主减速器行星轮系功质比的优化问题，建立含有密度和啮合摩擦因数等不确定性参数的区间多目标优化函数及相应的约束函数，利用改进的区间多目标分层优化方法，得到多目标优化函数的最优结果区间和参数变量，对优化前后主减速器行星轮系的传动性能进行深入比较。根据优化结果设计直升机主减速器行星轮系的传动效率试验方案，试验结果表明:区间多目标优化后主减速器行星轮系质量减少6.2%，传动效率提高2.14%，且效率曲线变化随着载荷的波动更加趋于稳定，说明区间多目标优化方法应用于某型直升机主减速器行星轮系功质比优化方面的有效性。 

Interval multi-objective optimization for the specific power of a helicopter's main reducer planetary gear trains

The interval multi-objective optimization objective functions and constraint functions for the optimization problem of the specific power of a certain helicopter's main reducer planetary gear trains with uncertain parameters of density and friction coefficient were established.The optimal parameter interval of objective functions and the design variables were obtained by using the improved interval multi-objective hierarchical optimization method,then the helicopter's optimal main reducer planetary gear trains were compared and analyzed.Finally the experiment scheme for the efficiency of helicopter's main reducer planetary gear trains was designed according to the optimization results.The results showed that:the gearing efficiency was improved by 2.14 ％,while the weight declined by 6.2％ after the interval multi-objective optimization of the helicopter's main reducer planetary gear trains,and the trend of the efficiency curves was more smooth and steady under the high-speed and heavy-duty working conditions,illustrating the effectiveness of the interval multi-objective optimization method used in the specific power optimization of a certain helicopter's main reducer planetary gear trains.