CAJ | 학술논문

对人字齿轮传动进行高重合度设计的分析，基于人字齿轮副承载接触分析技术，针对人字齿轮传动中主动小齿轮轴向浮动安装的特点，综合考虑齿轮时变啮合刚度、啮合冲击激励及误差激励等因素的影响，采用集中质量法建立了考虑修形的人字齿轮副弯－扭－轴耦合非线性振动模型，推导了系统无量纲运动微分方程，求解得到齿轮传动系统的振动加速度。以齿轮的振动加速度均方根值为优化的目标函数，针对该类复杂实际工程优化设计中适应值计算费时的缺点，提出了一种改进的具有适应值预测机制的遗传算法，优化得到了人字齿轮的基本设计参数及修形参数，提高了计算效率，通过实例分析验证了该优化方法的有效性。对加工的人字齿轮在减振降噪试验台上进行带载试验，对比优化前后的噪音分贝值，进一步验证了该优化方法对齿轮副减振降噪具有一定作用。
대인자치륜전동진행고중합도설계적분석，기우인자치륜부승재접촉분석기술，침대인자치륜전동중주동소치륜축향부동안장적특점，종합고필치륜시변교합강도、교합충격격려급오차격려등인소적영향，채용집중질량법건립료고필수형적인자치륜부만－뉴－축우합비선성진동모형，추도료계통무량강운동미분방정，구해득도치륜전동계통적진동가속도。이치륜적진동가속도균방근치위우화적목표함수，침대해류복잡실제공정우화설계중괄응치계산비시적결점，제출료일충개진적구유괄응치예측궤제적유전산법，우화득도료인자치륜적기본설계삼수급수형삼수，제고료계산효솔，통과실례분석험증료해우화방법적유효성。대가공적인자치륜재감진강조시험태상진행대재시험，대비우화전후적조음분패치，진일보험증료해우화방법대치륜부감진강조구유일정작용。
Considering the design of high contact ratio of double helical gears,based on the loaded tooth contact analysis technology,the bending-torsional-axial coupling dynamic model of modification double helical gears was established with the concentrated parameter method in the consideration of the special axial floating installation characteristics of pinion,the stiffness excitation,error excitation and meshing impact excitation.The dynamic equations were deduced by the newton method and the vibration acceleration of gear transmission system was obtained.A fitness approximation genetic algorithm was introduced to dispose the problem of time waste in calculating fitness.The root mean square of vibration acceleration was selected to be object function to optimize the basic design parameters and parabola modification coefficient by the fitness approximation genetic algorithm.The effectiveness of the optimization method was confirmed by the given example.In the end,the noise values of original gears and optimization ones obtained by the loaded test further verify that the optimal method has certain effects on the noise reduction of gears.