在空間曲(qu)線(xian)(xian)嚙合理論的(de)(de)基礎上，研(yan)究平行軸(zhou)線(xian)(xian)齒(chi)(chi)輪的(de)(de)驅動(dong)(dong)(dong)(dong)(dong)(dong)機(ji)構。以螺(luo)旋線(xian)(xian)為(wei)中(zhong)心(xin)(xin)線(xian)(xian)，研(yan)究截(jie)(jie)面(mian)為(wei)圓(yuan)時(shi)主動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)的(de)(de)曲(qu)面(mian)方(fang)(fang)程(cheng)，并(bing)(bing)以此構建(jian)(jian)(jian)主動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)輪齒(chi)(chi)面(mian)齒(chi)(chi)廓。以同軸(zhou)心(xin)(xin)的(de)(de)圓(yuan)截(jie)(jie)面(mian)為(wei)從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)輪的(de)(de)齒(chi)(chi)廓截(jie)(jie)面(mian)，并(bing)(bing)根據(ju)從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)輪中(zhong)心(xin)(xin)線(xian)(xian)構建(jian)(jian)(jian)從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)輪齒(chi)(chi)面(mian)方(fang)(fang)程(cheng)。分析線(xian)(xian)齒(chi)(chi)輪嚙合驅動(dong)(dong)(dong)(dong)(dong)(dong)時(shi)主動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)上的(de)(de)正反轉(zhuan)(zhuan)觸(chu)線(xian)(xian)，并(bing)(bing)根據(ju)空間曲(qu)線(xian)(xian)嚙合方(fang)(fang)程(cheng)求出從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)的(de)(de)正反轉(zhuan)(zhuan)觸(chu)線(xian)(xian)。此正反轉(zhuan)(zhuan)觸(chu)線(xian)(xian)應滿足從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)齒(chi)(chi)輪中(zhong)心(xin)(xin)線(xian)(xian)構建(jian)(jian)(jian)的(de)(de)圓(yuan)截(jie)(jie)面(mian)從(cong)動(dong)(dong)(dong)(dong)(dong)(dong)線(xian)(xian)輪齒(chi)(chi)面(mian)方(fang)(fang)程(cheng)。可通(tong)過(guo)增加齒(chi)(chi)數提其(qi)重合度以提驅動(dong)(dong)(dong)(dong)(dong)(dong)穩定(ding)性。通(tong)過(guo)建(jian)(jian)(jian)立線(xian)(xian)齒(chi)(chi)輪副(fu)3D模型并(bing)(bing)進(jin)行運動(dong)(dong)(dong)(dong)(dong)(dong)學模擬(ni)仿(fang)真試驗，結果表明(ming)，此方(fang)(fang)法(fa)(fa)構建(jian)(jian)(jian)的(de)(de)平行軸(zhou)圓(yuan)截(jie)(jie)面(mian)線(xian)(xian)齒(chi)(chi)輪裝配(pei)無(wu)法(fa)(fa)向側隙(xi)，且驅動(dong)(dong)(dong)(dong)(dong)(dong)過(guo)程(cheng)無(wu)干(gan)涉(she)，能夠(gou)滿足設計的(de)(de)驅動(dong)(dong)(dong)(dong)(dong)(dong)比需求。

  齒(chi)(chi)輪(lun)是機(ji)器和(he)(he)儀器中應(ying)用為的(de)(de)(de)一種機(ji)械驅(qu)動原件(jian)，它(ta)主(zhu)要用于(yu)傳遞(di)平行軸(zhou)、相交(jiao)軸(zhou)、交(jiao)錯軸(zhou)之(zhi)間的(de)(de)(de)回轉運動和(he)(he)轉矩。隨著現代工業的(de)(de)(de)逐(zhu)(zhu)漸發展(zhan)(zhan)，對齒(chi)(chi)輪(lun)的(de)(de)(de)驅(qu)動性能和(he)(he)質量提出(chu)的(de)(de)(de)要求越(yue)來越(yue)，齒(chi)(chi)輪(lun)嚙合理(li)論也(ye)在逐(zhu)(zhu)步發展(zhan)(zhan)以適應(ying)新(xin)的(de)(de)(de)驅(qu)動需求，新(xin)的(de)(de)(de)齒(chi)(chi)形(xing)得以出(chu)現。齒(chi)(chi)面(mian)是運動的(de)(de)(de)動力(li)變換的(de)(de)(de)直接作用面(mian)，從初的(de)(de)(de)矩形(xing)齒(chi)(chi)，擺(bai)線(xian)齒(chi)(chi)直至目前應(ying)用的(de)(de)(de)漸開線(xian)直、斜齒(chi)(chi)等，齒(chi)(chi)輪(lun)發展(zhan)(zhan)的(de)(de)(de)各個歷史階段都(dou)伴(ban)隨著嚙合齒(chi)(chi)面(mian)的(de)(de)(de)創新(xin)發展(zhan)(zhan)。