軟件對斜(xie)齒輪(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(chi)輪嚙合傳(chuan)動過(guo)程中，齒輪齒根的危險(xian)截面承受彎曲應(ying)(ying)力(li)(li)(li)、壓應(ying)(ying)力(li)(li)(li)和剪切應(ying)(ying)力(li)(li)(li)，起主導作，齒根受拉一側危險(xian)截面處(chu)的應(ying)(ying)力(li)(li)(li)應(ying)(ying)為彎曲拉應(ying)(ying)力(li)(li)(li)和殘余壓應(ying)(ying)力(li)(li)(li)的合(he)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)工作壽(shou)(shou)命與(yu)最(zui)(zui)大彎(wan)(wan)(wan)曲(qu)(qu)應(ying)(ying)力值(zhi)的(de)n（n6）次方(fang)成反比，即彎(wan)(wan)(wan)曲(qu)(qu)應(ying)(ying)力略微減小，可(ke)使齒(chi)(chi)(chi)輪(lun)(lun)的(de)工作壽(shou)(shou)命大大延長(chang)。在(zai)齒(chi)(chi)(chi)根過渡曲(qu)(qu)線(xian)(xian)處，形體發生突(tu)變(bian)，將會(hui)產生應(ying)(ying)力集中現象，所以漸開線(xian)(xian)齒(chi)(chi)(chi)輪(lun)(lun)的(de)最(zui)(zui)大彎(wan)(wan)(wan)曲(qu)(qu)應(ying)(ying)力總是(shi)發生在(zai)齒(chi)(chi)(chi)根過渡曲(qu)(qu)線(xian)(xian)處，這會(hui)直接影響齒(chi)(chi)(chi)輪(lun)(lun)壽(shou)(shou)命。最(zui)(zui)大齒(chi)(chi)(chi)根彎(wan)(wan)(wan)曲(qu)(qu)應(ying)(ying)力值(zhi)與(yu)齒(chi)(chi)(chi)根過渡曲(qu)(qu)線(xian)(xian)的(de)形狀及其(qi)微分性質(zhi)關系(xi)很大。進行齒(chi)(chi)(chi)輪(lun)(lun)的(de)彎(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)勞(lao)試(shi)(shi)(shi)(shi)驗(yan)(yan)，得出(chu)(chu)試(shi)(shi)(shi)(shi)驗(yan)(yan)齒(chi)(chi)(chi)輪(lun)(lun)的(de)彎(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)勞(lao)強度的(de)數據利用(yong)(yong)冶金(jin)機械廠提供的(de)斜齒(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)(shi)(shi)件，進行齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)勞(lao)的(de)試(shi)(shi)(shi)(shi)驗(yan)(yan)。試(shi)(shi)(shi)(shi)驗(yan)(yan)預(yu)采用(yong)(yong)雙齒(chi)(chi)(chi)脈動加載法。被試(shi)(shi)(shi)(shi)齒(chi)(chi)(chi)輪(lun)(lun)在(zai)所有試(shi)(shi)(shi)(shi)驗(yan)(yan)齒(chi)(chi)(chi)輪(lun)(lun)中隨機抽取，并(bing)保證同一應(ying)(ying)力水(shui)平的(de)被試(shi)(shi)(shi)(shi)齒(chi)(chi)(chi)來(lai)自各(ge)個(ge)齒(chi)(chi)(chi)輪(lun)(lun)。在(zai)短壽(shou)(shou)命區(qu)采用(yong)(yong)四級恒得出(chu)(chu)每個(ge)應(ying)(ying)力水(shui)平對應(ying)(ying)的(de)48個(ge)齒(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)(shi)(shi)驗(yan)(yan)的(de)壽(shou)(shou)命，以擬合(he)疲(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)傾(qing)斜段方(fang)程(cheng)；在(zai)長(chang)壽(shou)(shou)命區(qu)采用(yong)(yong)應(ying)(ying)力升降法，以確定(ding)疲(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)水(shui)平段方(fang)程(cheng)，從而獲(huo)得完(wan)整(zheng)的(de)齒(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)。

試(shi)(shi)驗(yan)因(yin)采用(yong)雙(shuang)齒(chi)加載(zai)試(shi)(shi)驗(yan)，當(dang)其(qi)中(zhong)一個(ge)齒(chi)失(shi)效(xiao)（以輪齒(chi)折斷或輪齒(chi)裂紋(wen)擴展致使試(shi)(shi)驗(yan)機聲音突變時(shi)的(de)應(ying)力循環(huan)次數(shu)為失(shi)效(xiao)壽(shou)命(ming)）時(shi)，試(shi)(shi)驗(yan)就停(ting)止。對于未失(shi)效(xiao)齒(chi)來說，該壽(shou)命(ming)是(shi)中(zhong)止試(shi)(shi)驗(yan)數(shu)據(ju)。這樣可以采用(yong)數(shu)值分布得出每次應(ying)力水平Si的(de)失(shi)效(xiao)密度函數(shu)，便于得出不同可靠度R下(xia)的(de)應(ying)力Si與(yu)壽(shou)命(ming)Ni之間的(de)關系。為充(chong)分利用(yong)試(shi)(shi)驗(yan)信息，數(shu)據(ju)處理(li)中(zhong)采用(yong)了平均順序法進行(xing)(xing)壽(shou)命(ming)分布檢驗(yan)。應(ying)用(yong)MATLAB軟(ruan)(ruan)件對試(shi)(shi)驗(yan)數(shu)據(ju)進行(xing)(xing)分析(xi)MATLAB是(shi)一種科學(xue)(xue)計(ji)算(suan)軟(ruan)(ruan)件，專門(men)以矩陣(zhen)(zhen)的(de)形式處理(li)數(shu)據(ju)。利用(yong)MATLAB軟(ruan)(ruan)件，對試(shi)(shi)驗(yan)數(shu)據(ju)進行(xing)(xing)分析(xi)。MATLAB的(de)語(yu)言(yan)特點MATLAB是(shi)美國(guo)MathWorks公司開發(fa)的(de)大(da)型數(shu)學(xue)(xue)計(ji)算(suan)應(ying)用(yong)軟(ruan)(ruan)件系統，它提供了強大(da)的(de)矩陣(zhen)(zhen)處理(li)和繪(hui)圖功能(neng)，簡(jian)單易用(yong)，可信度高，靈活性好(hao)，因(yin)而在(zai)世界(jie)范圍內被科學(xue)(xue)工(gong)作(zuo)者、工(gong)程(cheng)(cheng)師以及大(da)學(xue)(xue)生(sheng)和研(yan)究(jiu)生(sheng)廣(guang)泛使用(yong)，目前已(yi)經成(cheng)為國(guo)際市場上(shang)科學(xue)(xue)研(yan)究(jiu)和工(gong)程(cheng)(cheng)應(ying)用(yong)方(fang)面(mian)的(de)主導軟(ruan)(ruan)件。掌握MATLAB并借助它解(jie)決(jue)理(li)論(lun)與(yu)應(ying)用(yong)問題已(yi)經成(cheng)為每一個(ge)從事科學(xue)(xue)研(yan)究(jiu)和工(gong)程(cheng)(cheng)技術人(ren)員應(ying)該具備(bei)的(de)技能(neng)。MATLAB給(gei)用(yong)戶帶來的(de)是(shi)最直觀(guan)，最簡(jian)潔的(de)程(cheng)(cheng)序開發(fa)環(huan)境。

MATLAB系統的(de)(de)(de)(de)(de)(de)(de)基本函數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)庫具(ju)有(you)初等函數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)、初等矩(ju)陣(zhen)和(he)矩(ju)陣(zhen)變換(huan)，包括線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)方(fang)程(cheng)(cheng)組(zu)和(he)矩(ju)陣(zhen)特征值問題(ti)等數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)值線(xian)性代數(shu)(shu)(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)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)和(he)傅立葉變換(huan)以(yi)及(ji)(ji)某些特殊(shu)的(de)(de)(de)(de)(de)(de)(de)矩(ju)陣(zhen)函數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)學(xue)函數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)等眾多(duo)內(nei)容。另外，MATLAB具(ju)有(you)二維、三(san)維曲線(xian)和(he)三(san)維曲面繪(hui)圖(tu)功(gong)能(neng)(neng)(neng)，使用方(fang)法(fa)(fa)十分(fen)(fen)(fen)(fen)(fen)方(fang)便。應用MATLAB軟件分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)試驗數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)MATLAB提(ti)供了完(wan)整的(de)(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)與可(ke)視化(hua)(hua)(hua)能(neng)(neng)(neng)力，通過工(gong)(gong)具(ju)箱(xiang)直接(jie)將(jiang)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)導入到MATLAB的(de)(de)(de)(de)(de)(de)(de)工(gong)(gong)作空(kong)間，利(li)用MATLAB的(de)(de)(de)(de)(de)(de)(de)強大靈活的(de)(de)(de)(de)(de)(de)(de)手段進行(xing)快速而又(you)準確的(de)(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)。這包括使用MATLAB提(ti)供的(de)(de)(de)(de)(de)(de)(de)高級(ji)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)學(xue)和(he)可(ke)視化(hua)(hua)(hua)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)能(neng)(neng)(neng)力，在(zai)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)采(cai)集過程(cheng)(cheng)中(zhong)或者采(cai)集完(wan)畢(bi)后，進行(xing)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)以(yi)及(ji)(ji)可(ke)視化(hua)(hua)(hua)工(gong)(gong)作。利(li)用MATLAB軟件的(de)(de)(de)(de)(de)(de)(de)強大功(gong)能(neng)(neng)(neng)，對(dui)試驗得(de)(de)出的(de)(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)進行(xing)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)，主(zhu)要分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)方(fang)法(fa)(fa)有(you)對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、兩參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、三(san)參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)，并將(jiang)這些分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)得(de)(de)到的(de)(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)在(zai)MATLAB中(zhong)利(li)用它的(de)(de)(de)(de)(de)(de)(de)繪(hui)圖(tu)功(gong)能(neng)(neng)(neng)在(zai)雙對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)坐標下進行(xing)最小(xiao)二乘法(fa)(fa)的(de)(de)(de)(de)(de)(de)(de)線(xian)性擬合，得(de)(de)到不同(tong)可(ke)靠度、不同(tong)置信(xin)度下的(de)(de)(de)(de)(de)(de)(de)R-S-N疲(pi)勞曲線(xian)。其中(zhong)，因為MATLAB提(ti)供了大量的(de)(de)(de)(de)(de)(de)(de)內(nei)置函數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)，從而使試驗數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)的(de)(de)(de)(de)(de)(de)(de)分(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)更方(fang)便、更準確。

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