CAJ | 학술논문

以齿数Z1,模数m,齿厚系数ψR作为设计变量,建立弧齿锥齿轮的物理模型,以体积最小、传递功率最大为目标,以齿轮的强度要求等作为约束条件的优化设计模型。由于齿数和模数是非均匀的离散设计变量,齿厚系数是连续变量,因此,借鉴了连续变量和非均匀离散变量的处理方法———一种混合离散复合形法,并引用离散变量搜索优化方法。在混合离散复合形法基础上,探讨了解决有约束非线性混合离散变量的优化设计问题。经实例计算结果表明,混合离散复合形法可用于具有实际应用价值的弧齿锥齿轮优化问题。
이치수Z1,모수m,치후계수ψR작위설계변량,건립호치추치륜적물리모형,이체적최소、전체공솔최대위목표,이치륜적강도요구등작위약속조건적우화설계모형。유우치수화모수시비균균적리산설계변량,치후계수시련속변량,인차,차감료련속변량화비균균리산변량적처리방법———일충혼합리산복합형법,병인용리산변량수색우화방법。재혼합리산복합형법기출상,탐토료해결유약속비선성혼합리산변량적우화설계문제。경실례계산결과표명,혼합리산복합형법가용우구유실제응용개치적호치추치륜우화문제。
Taking spiral bevel gear as the physical model,the main target of optimizations is mode value m、dent number z1、tooth thickness coefficientψR..An objective function for obtaining a least gearbox volume and a largest transfer power is setup.Based on continuous variables complex shape method and discrete variables searching optimum method,this paper provides the method of separating continuous variables and non-uniform discrete variable uniformly,and suggests mixed complex shape method which provides the solution to equation of optimum design of constrained nonlinear of mixed discrete variables for finding a solutions to many problems of discrete and continuous optimum design in engineering can be applied to the optimization design of engineering structure.The result indicates that mixed-discrete complex shape method can be used for spiral bevel gear optimization problem with practical application value.