在空(kong)間曲(qu)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)嚙合(he)理論的(de)(de)(de)基(ji)礎上(shang)，研(yan)究平(ping)行軸(zhou)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)的(de)(de)(de)傳(chuan)動(dong)(dong)(dong)(dong)(dong)機(ji)構。以(yi)螺旋線(xian)(xian)(xian)(xian)(xian)(xian)(xian)為中(zhong)心(xin)(xin)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)，研(yan)究截(jie)面(mian)(mian)為圓(yuan)(yuan)時主(zhu)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)的(de)(de)(de)曲(qu)面(mian)(mian)方(fang)程(cheng)，并(bing)以(yi)此構建主(zhu)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)齒(chi)(chi)面(mian)(mian)齒(chi)(chi)廓。以(yi)同軸(zhou)心(xin)(xin)的(de)(de)(de)圓(yuan)(yuan)截(jie)面(mian)(mian)為從(cong)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)的(de)(de)(de)齒(chi)(chi)廓截(jie)面(mian)(mian)，并(bing)根據從(cong)動(dong)(dong)(dong)(dong)(dong)輪(lun)(lun)中(zhong)心(xin)(xin)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)構建從(cong)動(dong)(dong)(dong)(dong)(dong)輪(lun)(lun)齒(chi)(chi)面(mian)(mian)方(fang)程(cheng)。分析線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)嚙合(he)傳(chuan)動(dong)(dong)(dong)(dong)(dong)時主(zhu)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)上(shang)的(de)(de)(de)正(zheng)反轉觸(chu)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)，并(bing)根據空(kong)間曲(qu)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)嚙合(he)方(fang)程(cheng)求出從(cong)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)的(de)(de)(de)正(zheng)反轉觸(chu)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)。此正(zheng)反轉觸(chu)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)應滿足從(cong)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)中(zhong)心(xin)(xin)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)構建的(de)(de)(de)圓(yuan)(yuan)截(jie)面(mian)(mian)從(cong)動(dong)(dong)(dong)(dong)(dong)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)輪(lun)(lun)齒(chi)(chi)面(mian)(mian)方(fang)程(cheng)。可通過增加(jia)齒(chi)(chi)數提其重合(he)度以(yi)提傳(chuan)動(dong)(dong)(dong)(dong)(dong)穩定(ding)性。通過建立(li)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)副3D模(mo)型并(bing)進行運動(dong)(dong)(dong)(dong)(dong)學模(mo)擬(ni)仿(fang)真試驗(yan)，結果表明，此方(fang)法構建的(de)(de)(de)平(ping)行軸(zhou)圓(yuan)(yuan)截(jie)面(mian)(mian)線(xian)(xian)(xian)(xian)(xian)(xian)(xian)齒(chi)(chi)輪(lun)(lun)裝配無法向側隙，且傳(chuan)動(dong)(dong)(dong)(dong)(dong)過程(cheng)無干(gan)涉，能夠滿足設(she)計(ji)的(de)(de)(de)傳(chuan)動(dong)(dong)(dong)(dong)(dong)比需求。

  齒(chi)(chi)輪是(shi)機(ji)器(qi)和儀(yi)器(qi)中應(ying)用為的(de)(de)一種機(ji)械傳(chuan)(chuan)(chuan)(chuan)動原件，它主要用于傳(chuan)(chuan)(chuan)(chuan)遞(di)平(ping)行(xing)軸(zhou)、相交軸(zhou)、交錯軸(zhou)之間的(de)(de)回轉運(yun)動和轉矩。隨著現代工業的(de)(de)逐(zhu)漸發展(zhan)，對齒(chi)(chi)輪的(de)(de)傳(chuan)(chuan)(chuan)(chuan)動性能和質量提出(chu)的(de)(de)要求越(yue)來越(yue)，齒(chi)(chi)輪嚙合(he)理論也在逐(zhu)步發展(zhan)以(yi)適應(ying)新的(de)(de)傳(chuan)(chuan)(chuan)(chuan)動需求，新的(de)(de)齒(chi)(chi)形得以(yi)出(chu)現。齒(chi)(chi)面是(shi)運(yun)動的(de)(de)動力(li)變換的(de)(de)直(zhi)接作(zuo)用面，從初的(de)(de)矩形齒(chi)(chi)，擺線(xian)齒(chi)(chi)直(zhi)至目前應(ying)用的(de)(de)漸開線(xian)直(zhi)、斜齒(chi)(chi)等(deng)，齒(chi)(chi)輪發展(zhan)的(de)(de)各個歷(li)史(shi)階(jie)段都伴隨著嚙合(he)齒(chi)(chi)面的(de)(de)創新發展(zhan)。