CAJ | 학술논문

利用复合梯形积分法,假设接触区域宽度方向上压力服从半椭圆分布,以理想线接触条件下的接触区域长宽比作为初值,结合求解滚子与滚道接触问题的影响系数法,迭代求解了理论对数凸型方程。通过将接触区域长宽比设为无穷大时的数值解轮廓与Lundberg对数凸型轮廓及两轮廓下接触压力分布情况作对比,验证了数值解的准确性。分析了不同接触区域长宽比条件下,数值解轮廓、Lund-berg对数凸型轮廓与工程对数轮廓及3种轮廓下的接触压力和接触区域,比较得出如下结论：从轮廓中部到两端,Lundberg对数凸型轮廓与数值解轮廓的偏离量逐渐增大;随着接触区域长宽比的减小,前者轮廓与后者轮廓的偏离量逐渐增大,Lundberg对数凸型轮廓在接触区域端部有逐渐脱离接触的趋势,且在端部附近出现逐渐明显的压力非均匀分布现象;与Lundberg对数凸型轮廓相比数值解轮廓不仅改善了压力分布状况,而且能够得到端部连续的轮廓曲线;通过比较可知,工程对数轮廓的修型量偏大,滚子实际有效长度有所减小。
이용복합제형적분법,가설접촉구역관도방향상압력복종반타원분포,이이상선접촉조건하적접촉구역장관비작위초치,결합구해곤자여곤도접촉문제적영향계수법,질대구해료이론대수철형방정。통과장접촉구역장관비설위무궁대시적수치해륜곽여Lundberg대수철형륜곽급량륜곽하접촉압력분포정황작대비,험증료수치해적준학성。분석료불동접촉구역장관비조건하,수치해륜곽、Lund-berg대수철형륜곽여공정대수륜곽급3충륜곽하적접촉압력화접촉구역,비교득출여하결론：종륜곽중부도량단,Lundberg대수철형륜곽여수치해륜곽적편리량축점증대;수착접촉구역장관비적감소,전자륜곽여후자륜곽적편리량축점증대,Lundberg대수철형륜곽재접촉구역단부유축점탈리접촉적추세,차재단부부근출현축점명현적압력비균균분포현상;여Lundberg대수철형륜곽상비수치해륜곽불부개선료압력분포상황,이차능구득도단부련속적륜곽곡선;통과비교가지,공정대수륜곽적수형량편대,곤자실제유효장도유소감소。
A theoretical logarithm profile equation was resolved iteratively using compound trapezoidal integration through assuming pressure distribution along contact width direction was obedient to half-ellipse distribution,setting the ratio of contact length and width of ideal line contact condition as initial value,and combining the method of influence coefficient.The accuracy of numerical results was qualified by comparing the numerical results when setting a/b=∞ with Lundberg logarithm profile results.It concludes by analyzing three profiles and relative pressure distribution and contact region that the difference between Lundberg logarithm profile and numerical result profile is gradually increased from the middle to end.With the ratio of contact length and width decreasing,the difference between Lundberg logarithm profile and numerical result profile is increased,the uneven phenomenon near the end of contact region is apparent little by little,and the end of contact region of Lundberg logarithm profile are gradually out of contact;the numerical result profile can improve the pressure distribution and get continuous curve.By comparison,the magnitude of modification of engineering logarithm profile is too large,the effect length of roller decreases.