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過(guo)程中，齒(chi)輪(lun)齒(chi)根的(de)(de)危險(xian)截面承受彎(wan)曲應(ying)力、壓(ya)(ya)應(ying)力和剪切應(ying)力，起主導作，齒(chi)根受拉(la)(la)一側(ce)危險(xian)截面處的(de)(de)應(ying)力應(ying)為(wei)彎(wan)曲拉(la)(la)應(ying)力和殘余壓(ya)(ya)應(ying)力的(de)(de)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(chi)輪的(de)(de)工作(zuo)(zuo)壽命(ming)與(yu)最(zui)大(da)(da)彎曲(qu)(qu)(qu)應(ying)(ying)(ying)(ying)(ying)力(li)(li)值(zhi)的(de)(de)n（n6）次方成反比，即彎曲(qu)(qu)(qu)應(ying)(ying)(ying)(ying)(ying)力(li)(li)略微減(jian)小，可使(shi)齒(chi)(chi)輪(lun)(lun)(lun)(lun)的(de)(de)工作(zuo)(zuo)壽命(ming)大(da)(da)大(da)(da)延長(chang)。在(zai)(zai)齒(chi)(chi)根(gen)(gen)過渡(du)曲(qu)(qu)(qu)線處，形體發(fa)生(sheng)突變，將會(hui)產生(sheng)應(ying)(ying)(ying)(ying)(ying)力(li)(li)集中現象，所(suo)以(yi)漸(jian)開線齒(chi)(chi)輪(lun)(lun)(lun)(lun)的(de)(de)最(zui)大(da)(da)彎曲(qu)(qu)(qu)應(ying)(ying)(ying)(ying)(ying)力(li)(li)總是(shi)發(fa)生(sheng)在(zai)(zai)齒(chi)(chi)根(gen)(gen)過渡(du)曲(qu)(qu)(qu)線處，這會(hui)直接影響齒(chi)(chi)輪(lun)(lun)(lun)(lun)壽命(ming)。最(zui)大(da)(da)齒(chi)(chi)根(gen)(gen)彎曲(qu)(qu)(qu)應(ying)(ying)(ying)(ying)(ying)力(li)(li)值(zhi)與(yu)齒(chi)(chi)根(gen)(gen)過渡(du)曲(qu)(qu)(qu)線的(de)(de)形狀及其(qi)微分(fen)性質關系很大(da)(da)。進(jin)(jin)行(xing)齒(chi)(chi)輪(lun)(lun)(lun)(lun)的(de)(de)彎曲(qu)(qu)(qu)疲(pi)勞試(shi)(shi)(shi)驗(yan)，得出試(shi)(shi)(shi)驗(yan)齒(chi)(chi)輪(lun)(lun)(lun)(lun)的(de)(de)彎曲(qu)(qu)(qu)疲(pi)勞強(qiang)度的(de)(de)數據利用(yong)(yong)冶金機(ji)(ji)械(xie)廠提供(gong)的(de)(de)斜齒(chi)(chi)輪(lun)(lun)(lun)(lun)試(shi)(shi)(shi)件，進(jin)(jin)行(xing)齒(chi)(chi)輪(lun)(lun)(lun)(lun)彎曲(qu)(qu)(qu)疲(pi)勞的(de)(de)試(shi)(shi)(shi)驗(yan)。試(shi)(shi)(shi)驗(yan)預采用(yong)(yong)雙齒(chi)(chi)脈動(dong)加載法。被試(shi)(shi)(shi)齒(chi)(chi)輪(lun)(lun)(lun)(lun)在(zai)(zai)所(suo)有試(shi)(shi)(shi)驗(yan)齒(chi)(chi)輪(lun)(lun)(lun)(lun)中隨(sui)機(ji)(ji)抽取，并保證同一應(ying)(ying)(ying)(ying)(ying)力(li)(li)水(shui)平的(de)(de)被試(shi)(shi)(shi)齒(chi)(chi)來自各個(ge)齒(chi)(chi)輪(lun)(lun)(lun)(lun)。在(zai)(zai)短壽命(ming)區(qu)采用(yong)(yong)四級恒(heng)得出每個(ge)應(ying)(ying)(ying)(ying)(ying)力(li)(li)水(shui)平對應(ying)(ying)(ying)(ying)(ying)的(de)(de)48個(ge)齒(chi)(chi)輪(lun)(lun)(lun)(lun)試(shi)(shi)(shi)驗(yan)的(de)(de)壽命(ming)，以(yi)擬(ni)合疲(pi)勞曲(qu)(qu)(qu)線傾(qing)斜段方程(cheng)；在(zai)(zai)長(chang)壽命(ming)區(qu)采用(yong)(yong)應(ying)(ying)(ying)(ying)(ying)力(li)(li)升降法，以(yi)確定疲(pi)勞曲(qu)(qu)(qu)線水(shui)平段方程(cheng)，從(cong)而獲得完整的(de)(de)齒(chi)(chi)輪(lun)(lun)(lun)(lun)彎曲(qu)(qu)(qu)疲(pi)勞曲(qu)(qu)(qu)線。

試(shi)(shi)驗(yan)(yan)因采(cai)用(yong)(yong)(yong)雙齒(chi)加載試(shi)(shi)驗(yan)(yan)，當其中一(yi)個齒(chi)失效（以(yi)(yi)輪齒(chi)折斷或輪齒(chi)裂紋擴展致使試(shi)(shi)驗(yan)(yan)機(ji)聲(sheng)音突變時的(de)(de)(de)應力(li)循環(huan)(huan)次數為失效壽(shou)(shou)命）時，試(shi)(shi)驗(yan)(yan)就停止。對于未(wei)失效齒(chi)來說，該(gai)壽(shou)(shou)命是(shi)中止試(shi)(shi)驗(yan)(yan)數據(ju)。這樣可(ke)以(yi)(yi)采(cai)用(yong)(yong)(yong)數值分(fen)布得出每次應力(li)水平Si的(de)(de)(de)失效密度函數，便于得出不同可(ke)靠度R下的(de)(de)(de)應力(li)Si與(yu)壽(shou)(shou)命Ni之間的(de)(de)(de)關系(xi)。為充(chong)分(fen)利(li)用(yong)(yong)(yong)試(shi)(shi)驗(yan)(yan)信息，數據(ju)處(chu)理中采(cai)用(yong)(yong)(yong)了平均順序法進行壽(shou)(shou)命分(fen)布檢(jian)驗(yan)(yan)。應用(yong)(yong)(yong)MATLAB軟(ruan)件(jian)對試(shi)(shi)驗(yan)(yan)數據(ju)進行分(fen)析MATLAB是(shi)一(yi)種科(ke)(ke)學(xue)計算軟(ruan)件(jian)，專(zhuan)門以(yi)(yi)矩(ju)陣的(de)(de)(de)形式處(chu)理數據(ju)。利(li)用(yong)(yong)(yong)MATLAB軟(ruan)件(jian)，對試(shi)(shi)驗(yan)(yan)數據(ju)進行分(fen)析。MATLAB的(de)(de)(de)語言(yan)特點MATLAB是(shi)美國MathWorks公(gong)司(si)開發的(de)(de)(de)大型數學(xue)計算應用(yong)(yong)(yong)軟(ruan)件(jian)系(xi)統，它提供了強(qiang)大的(de)(de)(de)矩(ju)陣處(chu)理和繪(hui)圖功(gong)能(neng)，簡(jian)單(dan)易(yi)用(yong)(yong)(yong)，可(ke)信度高，靈活性好(hao)，因而(er)在世界(jie)范(fan)圍內被(bei)科(ke)(ke)學(xue)工作(zuo)者、工程(cheng)師以(yi)(yi)及大學(xue)生和研究(jiu)生廣(guang)泛使用(yong)(yong)(yong)，目(mu)前已(yi)(yi)經(jing)成(cheng)為國際市場上科(ke)(ke)學(xue)研究(jiu)和工程(cheng)應用(yong)(yong)(yong)方面的(de)(de)(de)主導軟(ruan)件(jian)。掌握MATLAB并借助它解(jie)決(jue)理論與(yu)應用(yong)(yong)(yong)問題已(yi)(yi)經(jing)成(cheng)為每一(yi)個從事科(ke)(ke)學(xue)研究(jiu)和工程(cheng)技術人員(yuan)應該(gai)具備的(de)(de)(de)技能(neng)。MATLAB給用(yong)(yong)(yong)戶帶來的(de)(de)(de)是(shi)最直觀，最簡(jian)潔的(de)(de)(de)程(cheng)序開發環(huan)(huan)境。

MATLAB系統的基本(ben)函(han)(han)數(shu)(shu)(shu)(shu)(shu)庫(ku)具有(you)初等(deng)函(han)(han)數(shu)(shu)(shu)(shu)(shu)、初等(deng)矩陣和(he)矩陣變換，包括線性(xing)代數(shu)(shu)(shu)(shu)(shu)方程(cheng)組(zu)和(he)矩陣特(te)征值問題(ti)等(deng)數(shu)(shu)(shu)(shu)(shu)值線性(xing)代數(shu)(shu)(shu)(shu)(shu)、多項式運算和(he)求根、數(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)和(he)傅立葉變換以及某些特(te)殊(shu)的矩陣函(han)(han)數(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)學函(han)(han)數(shu)(shu)(shu)(shu)(shu)等(deng)眾多內容。另(ling)外，MATLAB具有(you)二(er)(er)維、三維曲(qu)線和(he)三維曲(qu)面繪(hui)(hui)圖功能(neng)，使(shi)用(yong)(yong)方法(fa)十(shi)分(fen)(fen)(fen)方便。應用(yong)(yong)MATLAB軟件(jian)分(fen)(fen)(fen)析(xi)(xi)試(shi)驗數(shu)(shu)(shu)(shu)(shu)據(ju)MATLAB提供了完整的數(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)與(yu)可視化能(neng)力，通過工(gong)具箱直接將數(shu)(shu)(shu)(shu)(shu)據(ju)導入到(dao)MATLAB的工(gong)作空間，利(li)用(yong)(yong)MATLAB的強(qiang)大(da)(da)靈活的手段進(jin)行(xing)(xing)(xing)快速(su)而又(you)準(zhun)確(que)的數(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)。這(zhe)包括使(shi)用(yong)(yong)MATLAB提供的高級數(shu)(shu)(shu)(shu)(shu)學和(he)可視化分(fen)(fen)(fen)析(xi)(xi)能(neng)力，在數(shu)(shu)(shu)(shu)(shu)據(ju)采(cai)集過程(cheng)中或(huo)者采(cai)集完畢后，進(jin)行(xing)(xing)(xing)數(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)分(fen)(fen)(fen)析(xi)(xi)以及可視化工(gong)作。利(li)用(yong)(yong)MATLAB軟件(jian)的強(qiang)大(da)(da)功能(neng)，對試(shi)驗得出的數(shu)(shu)(shu)(shu)(shu)據(ju)進(jin)行(xing)(xing)(xing)分(fen)(fen)(fen)析(xi)(xi)，主要分(fen)(fen)(fen)析(xi)(xi)方法(fa)有(you)對數(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法(fa)、對數(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)析(xi)(xi)法(fa)、兩參數(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法(fa)、三參數(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)法(fa)，并將這(zhe)些分(fen)(fen)(fen)析(xi)(xi)法(fa)分(fen)(fen)(fen)析(xi)(xi)得到(dao)的數(shu)(shu)(shu)(shu)(shu)據(ju)在MATLAB中利(li)用(yong)(yong)它(ta)的繪(hui)(hui)圖功能(neng)在雙對數(shu)(shu)(shu)(shu)(shu)坐標(biao)下(xia)進(jin)行(xing)(xing)(xing)最小二(er)(er)乘法(fa)的線性(xing)擬合(he)，得到(dao)不同可靠度、不同置信度下(xia)的R-S-N疲勞曲(qu)線。其中，因(yin)為MATLAB提供了大(da)(da)量的內置函(han)(han)數(shu)(shu)(shu)(shu)(shu)，從而使(shi)試(shi)驗數(shu)(shu)(shu)(shu)(shu)據(ju)的分(fen)(fen)(fen)析(xi)(xi)更(geng)方便、更(geng)準(zhun)確(que)。

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