軟件對斜齒(chi)輪(lun)的彎曲疲勞強度的研究是可行的。彎曲疲勞強度；彎曲應力；有限元分析；有限元模型中圖號TH13斜齒輪結構緊湊，具有較大的傳扭能力，是齒輪傳動中較為復雜的一種，廣泛應用于船舶、汽車、航空、電力、工程機械等眾多行業中，其工作性能對整個傳動系統有至關重要的影響。當前我國的斜齒輪研究如果仍采用國家標準所提供的數據，會有一定的風險，所以對國產斜齒輪進行疲勞強度研究是非常必要的。斜齒輪的彎曲疲勞強度在齒輪(lun)嚙合傳動過程中(zhong)，齒輪齒根的危(wei)險截面(mian)承受(shou)彎曲應力(li)、壓應力(li)和(he)剪切應力(li)，起主導作，齒根受(shou)拉一側危(wei)險截面(mian)處的應力(li)應為(wei)彎曲拉應力(li)和(he)殘余壓應力(li)的合成。

輪齒的彎曲折斷失效。彎曲疲勞的強度極限，輪齒產生斷裂。齒根過渡形式對輪齒彎曲強度的影響。在機械行業中，大量使用漸開線齒輪來傳遞運動和動力，而齒輪工作壽命又與其彎曲疲勞強度有關，決定提高具有重要的意義。齒輪的(de)(de)工作壽(shou)命(ming)(ming)與最(zui)大(da)彎(wan)(wan)曲(qu)(qu)(qu)應(ying)力值的(de)(de)n（n6）次方成反(fan)比，即彎(wan)(wan)曲(qu)(qu)(qu)應(ying)力略微(wei)減(jian)小，可使齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)工作壽(shou)命(ming)(ming)大(da)大(da)延長(chang)。在(zai)齒(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)處(chu)(chu)，形體(ti)發生(sheng)突變，將會(hui)產生(sheng)應(ying)力集(ji)中現象，所以(yi)漸(jian)開線(xian)(xian)(xian)(xian)齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)最(zui)大(da)彎(wan)(wan)曲(qu)(qu)(qu)應(ying)力總是發生(sheng)在(zai)齒(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)處(chu)(chu)，這會(hui)直接影響齒(chi)(chi)(chi)輪(lun)(lun)壽(shou)命(ming)(ming)。最(zui)大(da)齒(chi)(chi)(chi)根(gen)彎(wan)(wan)曲(qu)(qu)(qu)應(ying)力值與齒(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)的(de)(de)形狀(zhuang)及(ji)其微(wei)分性(xing)質關系(xi)很大(da)。進行齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)疲勞(lao)試(shi)(shi)(shi)驗，得(de)(de)出試(shi)(shi)(shi)驗齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)疲勞(lao)強(qiang)度的(de)(de)數據利用(yong)冶金機(ji)械廠提供的(de)(de)斜齒(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)(shi)件，進行齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)疲勞(lao)的(de)(de)試(shi)(shi)(shi)驗。試(shi)(shi)(shi)驗預采(cai)用(yong)雙(shuang)齒(chi)(chi)(chi)脈(mo)動加載法。被(bei)試(shi)(shi)(shi)齒(chi)(chi)(chi)輪(lun)(lun)在(zai)所有試(shi)(shi)(shi)驗齒(chi)(chi)(chi)輪(lun)(lun)中隨機(ji)抽取，并保(bao)證同一(yi)應(ying)力水平的(de)(de)被(bei)試(shi)(shi)(shi)齒(chi)(chi)(chi)來自各個齒(chi)(chi)(chi)輪(lun)(lun)。在(zai)短壽(shou)命(ming)(ming)區采(cai)用(yong)四(si)級恒得(de)(de)出每(mei)個應(ying)力水平對(dui)應(ying)的(de)(de)48個齒(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)(shi)驗的(de)(de)壽(shou)命(ming)(ming)，以(yi)擬合疲勞(lao)曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)傾斜段(duan)方程；在(zai)長(chang)壽(shou)命(ming)(ming)區采(cai)用(yong)應(ying)力升(sheng)降法，以(yi)確定疲勞(lao)曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)水平段(duan)方程，從而獲得(de)(de)完整的(de)(de)齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)疲勞(lao)曲(qu)(qu)(qu)線(xian)(xian)(xian)(xian)。

試(shi)(shi)驗(yan)(yan)(yan)因(yin)(yin)采用(yong)(yong)(yong)(yong)(yong)(yong)雙齒加載(zai)試(shi)(shi)驗(yan)(yan)(yan)，當其(qi)中一(yi)(yi)(yi)個(ge)齒失(shi)效（以(yi)輪(lun)齒折斷或輪(lun)齒裂紋擴展致使試(shi)(shi)驗(yan)(yan)(yan)機聲音突變時(shi)的(de)(de)(de)應(ying)力(li)循環次數(shu)(shu)為(wei)(wei)失(shi)效壽命(ming)）時(shi)，試(shi)(shi)驗(yan)(yan)(yan)就(jiu)停(ting)止。對(dui)于未失(shi)效齒來(lai)說，該(gai)壽命(ming)是(shi)中止試(shi)(shi)驗(yan)(yan)(yan)數(shu)(shu)據。這樣可(ke)(ke)以(yi)采用(yong)(yong)(yong)(yong)(yong)(yong)數(shu)(shu)值分布(bu)得出(chu)每(mei)次應(ying)力(li)水(shui)平(ping)Si的(de)(de)(de)失(shi)效密度(du)函(han)數(shu)(shu)，便于得出(chu)不同可(ke)(ke)靠(kao)度(du)R下的(de)(de)(de)應(ying)力(li)Si與壽命(ming)Ni之間的(de)(de)(de)關系。為(wei)(wei)充分利(li)用(yong)(yong)(yong)(yong)(yong)(yong)試(shi)(shi)驗(yan)(yan)(yan)信息，數(shu)(shu)據處理(li)中采用(yong)(yong)(yong)(yong)(yong)(yong)了平(ping)均(jun)順序法進(jin)行(xing)壽命(ming)分布(bu)檢驗(yan)(yan)(yan)。應(ying)用(yong)(yong)(yong)(yong)(yong)(yong)MATLAB軟(ruan)件(jian)對(dui)試(shi)(shi)驗(yan)(yan)(yan)數(shu)(shu)據進(jin)行(xing)分析MATLAB是(shi)一(yi)(yi)(yi)種科(ke)(ke)學(xue)(xue)計(ji)算軟(ruan)件(jian)，專(zhuan)門(men)以(yi)矩陣(zhen)的(de)(de)(de)形式(shi)處理(li)數(shu)(shu)據。利(li)用(yong)(yong)(yong)(yong)(yong)(yong)MATLAB軟(ruan)件(jian)，對(dui)試(shi)(shi)驗(yan)(yan)(yan)數(shu)(shu)據進(jin)行(xing)分析。MATLAB的(de)(de)(de)語(yu)言特(te)點(dian)MATLAB是(shi)美國(guo)MathWorks公司開(kai)發的(de)(de)(de)大(da)型數(shu)(shu)學(xue)(xue)計(ji)算應(ying)用(yong)(yong)(yong)(yong)(yong)(yong)軟(ruan)件(jian)系統(tong)，它(ta)提供了強大(da)的(de)(de)(de)矩陣(zhen)處理(li)和繪(hui)圖功能(neng)，簡單易用(yong)(yong)(yong)(yong)(yong)(yong)，可(ke)(ke)信度(du)高，靈活(huo)性好，因(yin)(yin)而在世界范(fan)圍內被科(ke)(ke)學(xue)(xue)工(gong)作者(zhe)、工(gong)程(cheng)(cheng)師以(yi)及大(da)學(xue)(xue)生和研究(jiu)(jiu)生廣泛使用(yong)(yong)(yong)(yong)(yong)(yong)，目前已經成為(wei)(wei)國(guo)際市場上科(ke)(ke)學(xue)(xue)研究(jiu)(jiu)和工(gong)程(cheng)(cheng)應(ying)用(yong)(yong)(yong)(yong)(yong)(yong)方面的(de)(de)(de)主導軟(ruan)件(jian)。掌握MATLAB并借(jie)助它(ta)解決(jue)理(li)論與應(ying)用(yong)(yong)(yong)(yong)(yong)(yong)問題已經成為(wei)(wei)每(mei)一(yi)(yi)(yi)個(ge)從(cong)事科(ke)(ke)學(xue)(xue)研究(jiu)(jiu)和工(gong)程(cheng)(cheng)技(ji)(ji)術(shu)人員應(ying)該(gai)具備(bei)的(de)(de)(de)技(ji)(ji)能(neng)。MATLAB給用(yong)(yong)(yong)(yong)(yong)(yong)戶帶來(lai)的(de)(de)(de)是(shi)最(zui)直(zhi)觀(guan)，最(zui)簡潔(jie)的(de)(de)(de)程(cheng)(cheng)序開(kai)發環境。

MATLAB系統的(de)基本函(han)(han)數(shu)(shu)(shu)庫具有(you)初(chu)等函(han)(han)數(shu)(shu)(shu)、初(chu)等矩(ju)陣(zhen)和(he)矩(ju)陣(zhen)變換，包(bao)括線(xian)(xian)性(xing)代(dai)數(shu)(shu)(shu)方(fang)程組和(he)矩(ju)陣(zhen)特(te)征值問題等數(shu)(shu)(shu)值線(xian)(xian)性(xing)代(dai)數(shu)(shu)(shu)、多項(xiang)式運算和(he)求根、數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)和(he)傅立葉變換以及(ji)某些(xie)特(te)殊的(de)矩(ju)陣(zhen)函(han)(han)數(shu)(shu)(shu)和(he)數(shu)(shu)(shu)學(xue)函(han)(han)數(shu)(shu)(shu)等眾多內容。另(ling)外，MATLAB具有(you)二(er)維、三維曲(qu)線(xian)(xian)和(he)三維曲(qu)面繪圖(tu)功(gong)(gong)(gong)能(neng)，使用(yong)方(fang)法(fa)(fa)(fa)(fa)十(shi)分(fen)(fen)(fen)(fen)(fen)方(fang)便。應(ying)用(yong)MATLAB軟件(jian)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)試驗(yan)(yan)數(shu)(shu)(shu)據(ju)(ju)(ju)MATLAB提供(gong)了(le)完整(zheng)的(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)與可(ke)視化能(neng)力(li)，通過(guo)工(gong)(gong)具箱直接將數(shu)(shu)(shu)據(ju)(ju)(ju)導入(ru)到MATLAB的(de)工(gong)(gong)作(zuo)空間，利用(yong)MATLAB的(de)強(qiang)大靈活的(de)手段(duan)進(jin)行(xing)快(kuai)速而(er)又準確(que)的(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)。這包(bao)括使用(yong)MATLAB提供(gong)的(de)高級(ji)數(shu)(shu)(shu)學(xue)和(he)可(ke)視化分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)能(neng)力(li)，在數(shu)(shu)(shu)據(ju)(ju)(ju)采集(ji)(ji)過(guo)程中(zhong)或者采集(ji)(ji)完畢(bi)后，進(jin)行(xing)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)以及(ji)可(ke)視化工(gong)(gong)作(zuo)。利用(yong)MATLAB軟件(jian)的(de)強(qiang)大功(gong)(gong)(gong)能(neng)，對試驗(yan)(yan)得(de)出的(de)數(shu)(shu)(shu)據(ju)(ju)(ju)進(jin)行(xing)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)，主要分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)方(fang)法(fa)(fa)(fa)(fa)有(you)對數(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)(fa)、對數(shu)(shu)(shu)正態分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)(fa)、兩(liang)參(can)數(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)(fa)、三參(can)數(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)(fa)，并(bing)將這些(xie)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)(fa)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)得(de)到的(de)數(shu)(shu)(shu)據(ju)(ju)(ju)在MATLAB中(zhong)利用(yong)它(ta)的(de)繪圖(tu)功(gong)(gong)(gong)能(neng)在雙對數(shu)(shu)(shu)坐(zuo)標下進(jin)行(xing)最(zui)小二(er)乘法(fa)(fa)(fa)(fa)的(de)線(xian)(xian)性(xing)擬合，得(de)到不同可(ke)靠度(du)、不同置信(xin)度(du)下的(de)R-S-N疲勞曲(qu)線(xian)(xian)。其中(zhong)，因(yin)為MATLAB提供(gong)了(le)大量的(de)內置函(han)(han)數(shu)(shu)(shu)，從(cong)而(er)使試驗(yan)(yan)數(shu)(shu)(shu)據(ju)(ju)(ju)的(de)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)更方(fang)便、更準確(que)。

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