軟件對斜齒輪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嚙合傳動(dong)過程(cheng)中(zhong)，齒輪齒根的危險截(jie)面(mian)承受彎(wan)(wan)曲應(ying)(ying)力(li)、壓(ya)應(ying)(ying)力(li)和剪切應(ying)(ying)力(li)，起主導作，齒根受拉(la)(la)一側危險截(jie)面(mian)處的應(ying)(ying)力(li)應(ying)(ying)為彎(wan)(wan)曲拉(la)(la)應(ying)(ying)力(li)和殘余壓(ya)應(ying)(ying)力(li)的合(he)成(cheng)。

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(chi)輪的(de)(de)工(gong)作(zuo)壽命與最(zui)大彎(wan)(wan)曲(qu)(qu)(qu)應(ying)(ying)力(li)值(zhi)的(de)(de)n（n6）次(ci)方(fang)成(cheng)反比，即(ji)彎(wan)(wan)曲(qu)(qu)(qu)應(ying)(ying)力(li)略微(wei)減小，可(ke)使齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)工(gong)作(zuo)壽命大大延長(chang)。在(zai)齒(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)處，形體(ti)發生突變，將(jiang)會(hui)產生應(ying)(ying)力(li)集中(zhong)現象，所以(yi)漸開線(xian)齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)最(zui)大彎(wan)(wan)曲(qu)(qu)(qu)應(ying)(ying)力(li)總是發生在(zai)齒(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)處，這(zhe)會(hui)直接影(ying)響齒(chi)(chi)(chi)輪(lun)(lun)壽命。最(zui)大齒(chi)(chi)(chi)根(gen)彎(wan)(wan)曲(qu)(qu)(qu)應(ying)(ying)力(li)值(zhi)與齒(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)的(de)(de)形狀及其微(wei)分性質關系很大。進行(xing)齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞(lao)試(shi)驗(yan)(yan)，得(de)出試(shi)驗(yan)(yan)齒(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞(lao)強(qiang)度的(de)(de)數據(ju)利(li)用(yong)冶金機械廠(chang)提供的(de)(de)斜(xie)齒(chi)(chi)(chi)輪(lun)(lun)試(shi)件，進行(xing)齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞(lao)的(de)(de)試(shi)驗(yan)(yan)。試(shi)驗(yan)(yan)預采用(yong)雙齒(chi)(chi)(chi)脈動加載法。被(bei)(bei)試(shi)齒(chi)(chi)(chi)輪(lun)(lun)在(zai)所有試(shi)驗(yan)(yan)齒(chi)(chi)(chi)輪(lun)(lun)中(zhong)隨機抽取，并(bing)保(bao)證同一應(ying)(ying)力(li)水(shui)平的(de)(de)被(bei)(bei)試(shi)齒(chi)(chi)(chi)來(lai)自各個齒(chi)(chi)(chi)輪(lun)(lun)。在(zai)短壽命區采用(yong)四級恒得(de)出每個應(ying)(ying)力(li)水(shui)平對(dui)應(ying)(ying)的(de)(de)48個齒(chi)(chi)(chi)輪(lun)(lun)試(shi)驗(yan)(yan)的(de)(de)壽命，以(yi)擬合疲(pi)勞(lao)曲(qu)(qu)(qu)線(xian)傾斜(xie)段(duan)方(fang)程；在(zai)長(chang)壽命區采用(yong)應(ying)(ying)力(li)升(sheng)降(jiang)法，以(yi)確定疲(pi)勞(lao)曲(qu)(qu)(qu)線(xian)水(shui)平段(duan)方(fang)程，從而獲得(de)完整的(de)(de)齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞(lao)曲(qu)(qu)(qu)線(xian)。

試(shi)驗(yan)(yan)(yan)(yan)因(yin)(yin)采(cai)用(yong)(yong)雙齒(chi)加載試(shi)驗(yan)(yan)(yan)(yan)，當其中(zhong)一個(ge)齒(chi)失(shi)(shi)效(xiao)（以輪(lun)齒(chi)折斷或輪(lun)齒(chi)裂紋擴展致(zhi)使試(shi)驗(yan)(yan)(yan)(yan)機聲(sheng)音突(tu)變時的應(ying)(ying)(ying)力(li)循環次(ci)數(shu)為失(shi)(shi)效(xiao)壽命(ming)(ming)）時，試(shi)驗(yan)(yan)(yan)(yan)就停止。對于(yu)未失(shi)(shi)效(xiao)齒(chi)來說，該(gai)壽命(ming)(ming)是中(zhong)止試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)。這樣可(ke)以采(cai)用(yong)(yong)數(shu)值分(fen)(fen)布(bu)得出每(mei)次(ci)應(ying)(ying)(ying)力(li)水平Si的失(shi)(shi)效(xiao)密度(du)函數(shu)，便(bian)于(yu)得出不同可(ke)靠度(du)R下(xia)的應(ying)(ying)(ying)力(li)Si與壽命(ming)(ming)Ni之(zhi)間的關系。為充(chong)分(fen)(fen)利用(yong)(yong)試(shi)驗(yan)(yan)(yan)(yan)信息，數(shu)據(ju)處(chu)(chu)理中(zhong)采(cai)用(yong)(yong)了平均順序法進行(xing)壽命(ming)(ming)分(fen)(fen)布(bu)檢驗(yan)(yan)(yan)(yan)。應(ying)(ying)(ying)用(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)對試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)進行(xing)分(fen)(fen)析(xi)MATLAB是一種科(ke)(ke)學(xue)計算(suan)軟(ruan)(ruan)件(jian)，專門以矩(ju)陣(zhen)(zhen)的形式處(chu)(chu)理數(shu)據(ju)。利用(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)，對試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)進行(xing)分(fen)(fen)析(xi)。MATLAB的語言特點MATLAB是美國MathWorks公(gong)司(si)開發的大(da)型數(shu)學(xue)計算(suan)應(ying)(ying)(ying)用(yong)(yong)軟(ruan)(ruan)件(jian)系統，它(ta)提供了強大(da)的矩(ju)陣(zhen)(zhen)處(chu)(chu)理和繪(hui)圖功能(neng)，簡(jian)(jian)單易用(yong)(yong)，可(ke)信度(du)高，靈活性(xing)好，因(yin)(yin)而在世界范(fan)圍內(nei)被(bei)科(ke)(ke)學(xue)工(gong)作者、工(gong)程(cheng)師以及(ji)大(da)學(xue)生和研(yan)究(jiu)生廣泛使用(yong)(yong)，目前(qian)已(yi)(yi)經(jing)成為國際市場上科(ke)(ke)學(xue)研(yan)究(jiu)和工(gong)程(cheng)應(ying)(ying)(ying)用(yong)(yong)方(fang)面的主導軟(ruan)(ruan)件(jian)。掌握MATLAB并借(jie)助它(ta)解決理論(lun)與應(ying)(ying)(ying)用(yong)(yong)問題(ti)已(yi)(yi)經(jing)成為每(mei)一個(ge)從事科(ke)(ke)學(xue)研(yan)究(jiu)和工(gong)程(cheng)技術人員應(ying)(ying)(ying)該(gai)具備(bei)的技能(neng)。MATLAB給用(yong)(yong)戶帶來的是最直觀(guan)，最簡(jian)(jian)潔的程(cheng)序開發環境。

MATLAB系統的(de)(de)(de)基(ji)本函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)庫(ku)具(ju)有(you)初等函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)、初等矩陣(zhen)(zhen)和(he)矩陣(zhen)(zhen)變換(huan)，包(bao)括線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)(shu)方程組和(he)矩陣(zhen)(zhen)特(te)征值問題等數(shu)(shu)(shu)(shu)(shu)(shu)(shu)值線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)(shu)、多(duo)項(xiang)式運算和(he)求根、數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)和(he)傅(fu)立葉(xie)變換(huan)以及(ji)某些(xie)特(te)殊的(de)(de)(de)矩陣(zhen)(zhen)函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)學函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)等眾多(duo)內容。另外，MATLAB具(ju)有(you)二(er)維、三(san)維曲(qu)線(xian)和(he)三(san)維曲(qu)面繪圖功能(neng)(neng)，使用(yong)(yong)方法十分(fen)(fen)(fen)方便。應用(yong)(yong)MATLAB軟(ruan)件(jian)分(fen)(fen)(fen)析(xi)(xi)試(shi)驗(yan)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)MATLAB提(ti)供了完整的(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)與可(ke)視化(hua)能(neng)(neng)力(li)，通(tong)過工(gong)具(ju)箱(xiang)直接將(jiang)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)導入到(dao)MATLAB的(de)(de)(de)工(gong)作空間，利用(yong)(yong)MATLAB的(de)(de)(de)強大(da)靈活的(de)(de)(de)手段(duan)進(jin)行快速而又準確的(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)。這包(bao)括使用(yong)(yong)MATLAB提(ti)供的(de)(de)(de)高(gao)級數(shu)(shu)(shu)(shu)(shu)(shu)(shu)學和(he)可(ke)視化(hua)分(fen)(fen)(fen)析(xi)(xi)能(neng)(neng)力(li)，在(zai)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)采(cai)集(ji)(ji)過程中(zhong)或者采(cai)集(ji)(ji)完畢后，進(jin)行數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)分(fen)(fen)(fen)析(xi)(xi)以及(ji)可(ke)視化(hua)工(gong)作。利用(yong)(yong)MATLAB軟(ruan)件(jian)的(de)(de)(de)強大(da)功能(neng)(neng)，對試(shi)驗(yan)得出(chu)的(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)進(jin)行分(fen)(fen)(fen)析(xi)(xi)，主要分(fen)(fen)(fen)析(xi)(xi)方法有(you)對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法、對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)析(xi)(xi)法、兩(liang)參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法、三(san)參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法，并將(jiang)這些(xie)分(fen)(fen)(fen)析(xi)(xi)法分(fen)(fen)(fen)析(xi)(xi)得到(dao)的(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)在(zai)MATLAB中(zhong)利用(yong)(yong)它(ta)的(de)(de)(de)繪圖功能(neng)(neng)在(zai)雙(shuang)對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)坐標下進(jin)行最小二(er)乘法的(de)(de)(de)線(xian)性擬合，得到(dao)不同可(ke)靠度、不同置信度下的(de)(de)(de)R-S-N疲勞曲(qu)線(xian)。其中(zhong)，因(yin)為MATLAB提(ti)供了大(da)量的(de)(de)(de)內置函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)，從而使試(shi)驗(yan)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)(ju)(ju)的(de)(de)(de)分(fen)(fen)(fen)析(xi)(xi)更(geng)(geng)方便、更(geng)(geng)準確。

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