二齿差滚动活齿传动多目标稳健优化设计

Robust Multi-objective Optimization Design of Two-Tooth Difference Rolling Movable Teeth Transmission

为了提高二齿差滚动活齿传动的设计水平和设计质量,将优化设计理论与稳健设计方法相结合,在考虑设计变量和设计常量的偏差对可行域影响的基础上,建立了二齿差滚动活齿传动的多目标稳健优化设计数学模型.基于模拟退火算法,提出了该模型的求解方法,给出了计算实例.计算结果表明:与应用普通优化方法得出的优化结果相比较,基于模拟退火算法的稳健优化设计所得的二齿差滚动活齿传动的体积缩小24.1%.

To improve the design of two-tooth difference rolling movable teeth transmission,a mathematical model of multi-objective robust optimization design for the transmission was established by optimization design theory and robust design method,taking account of the effect on the feasible region caused by deviations of design variables and design constants.Then,a solution method of the model was proposed based on the simulated annealing algorithm,and a numerical example was given for illustration.The numerical results show that the robust optimization design based on the simulated annealing algorithm,compared with the ordinary optimization design,can reduce the volume of two-tooth difference rolling movable teeth transmission by 24.1%.