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(gen)的(de)危險截面(mian)承受彎(wan)曲應(ying)(ying)力、壓(ya)應(ying)(ying)力和(he)剪切應(ying)(ying)力，起主導作，齒根(gen)受拉(la)一側危險截面(mian)處(chu)的(de)應(ying)(ying)力應(ying)(ying)為彎(wan)曲拉(la)應(ying)(ying)力和(he)殘(can)余壓(ya)應(ying)(ying)力的(de)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。齒輪的(de)(de)(de)工作壽命與最大(da)(da)彎曲(qu)(qu)(qu)應力(li)(li)(li)值的(de)(de)(de)n（n6）次(ci)方(fang)成反(fan)比，即彎曲(qu)(qu)(qu)應力(li)(li)(li)略微(wei)減(jian)小(xiao)，可使齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)工作壽命大(da)(da)大(da)(da)延長(chang)。在齒(chi)(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)處，形(xing)體發生突變，將會(hui)產生應力(li)(li)(li)集中(zhong)現象，所(suo)以漸開線(xian)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)最大(da)(da)彎曲(qu)(qu)(qu)應力(li)(li)(li)總是(shi)發生在齒(chi)(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)處，這會(hui)直接影響(xiang)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)壽命。最大(da)(da)齒(chi)(chi)(chi)(chi)根(gen)彎曲(qu)(qu)(qu)應力(li)(li)(li)值與齒(chi)(chi)(chi)(chi)根(gen)過(guo)渡曲(qu)(qu)(qu)線(xian)的(de)(de)(de)形(xing)狀(zhuang)及其微(wei)分性質(zhi)關系很大(da)(da)。進行齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)彎曲(qu)(qu)(qu)疲(pi)(pi)勞試(shi)(shi)(shi)(shi)驗，得(de)出試(shi)(shi)(shi)(shi)驗齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)彎曲(qu)(qu)(qu)疲(pi)(pi)勞強度的(de)(de)(de)數據利用(yong)冶金(jin)機械廠提(ti)供(gong)的(de)(de)(de)斜齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)試(shi)(shi)(shi)(shi)件(jian)，進行齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)彎曲(qu)(qu)(qu)疲(pi)(pi)勞的(de)(de)(de)試(shi)(shi)(shi)(shi)驗。試(shi)(shi)(shi)(shi)驗預采用(yong)雙(shuang)齒(chi)(chi)(chi)(chi)脈(mo)動加載法。被試(shi)(shi)(shi)(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)在所(suo)有試(shi)(shi)(shi)(shi)驗齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)中(zhong)隨機抽取(qu)，并保證(zheng)同一應力(li)(li)(li)水(shui)平的(de)(de)(de)被試(shi)(shi)(shi)(shi)齒(chi)(chi)(chi)(chi)來自各個齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)。在短壽命區(qu)采用(yong)四級恒(heng)得(de)出每個應力(li)(li)(li)水(shui)平對應的(de)(de)(de)48個齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)試(shi)(shi)(shi)(shi)驗的(de)(de)(de)壽命，以擬(ni)合疲(pi)(pi)勞曲(qu)(qu)(qu)線(xian)傾(qing)斜段(duan)方(fang)程(cheng)(cheng)；在長(chang)壽命區(qu)采用(yong)應力(li)(li)(li)升降(jiang)法，以確定疲(pi)(pi)勞曲(qu)(qu)(qu)線(xian)水(shui)平段(duan)方(fang)程(cheng)(cheng)，從而獲得(de)完(wan)整(zheng)的(de)(de)(de)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)彎曲(qu)(qu)(qu)疲(pi)(pi)勞曲(qu)(qu)(qu)線(xian)。

試(shi)驗(yan)(yan)(yan)(yan)因采(cai)用(yong)(yong)(yong)雙(shuang)齒(chi)加載試(shi)驗(yan)(yan)(yan)(yan)，當其(qi)中(zhong)一(yi)個齒(chi)失(shi)(shi)效(xiao)（以輪齒(chi)折斷或輪齒(chi)裂紋擴展致使(shi)試(shi)驗(yan)(yan)(yan)(yan)機聲(sheng)音突變時(shi)的應(ying)(ying)力循環次(ci)(ci)數(shu)為(wei)失(shi)(shi)效(xiao)壽命(ming)）時(shi)，試(shi)驗(yan)(yan)(yan)(yan)就停(ting)止(zhi)。對(dui)于未失(shi)(shi)效(xiao)齒(chi)來說(shuo)，該(gai)壽命(ming)是(shi)(shi)中(zhong)止(zhi)試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)。這(zhe)樣可(ke)(ke)以采(cai)用(yong)(yong)(yong)數(shu)值分布得(de)出每次(ci)(ci)應(ying)(ying)力水平Si的失(shi)(shi)效(xiao)密度函數(shu)，便于得(de)出不同可(ke)(ke)靠度R下的應(ying)(ying)力Si與壽命(ming)Ni之間(jian)的關(guan)系。為(wei)充分利(li)用(yong)(yong)(yong)試(shi)驗(yan)(yan)(yan)(yan)信息，數(shu)據(ju)處理(li)中(zhong)采(cai)用(yong)(yong)(yong)了(le)平均順(shun)序(xu)法進(jin)行(xing)壽命(ming)分布檢驗(yan)(yan)(yan)(yan)。應(ying)(ying)用(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)(jian)對(dui)試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)進(jin)行(xing)分析MATLAB是(shi)(shi)一(yi)種科(ke)學計(ji)算(suan)軟(ruan)(ruan)件(jian)(jian)，專門(men)以矩(ju)陣的形式(shi)處理(li)數(shu)據(ju)。利(li)用(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)(jian)，對(dui)試(shi)驗(yan)(yan)(yan)(yan)數(shu)據(ju)進(jin)行(xing)分析。MATLAB的語言特點MATLAB是(shi)(shi)美國MathWorks公司(si)開發(fa)的大(da)型(xing)數(shu)學計(ji)算(suan)應(ying)(ying)用(yong)(yong)(yong)軟(ruan)(ruan)件(jian)(jian)系統(tong)，它提供了(le)強大(da)的矩(ju)陣處理(li)和(he)繪圖功能，簡單易(yi)用(yong)(yong)(yong)，可(ke)(ke)信度高，靈(ling)活性好(hao)，因而在世界范(fan)圍(wei)內被科(ke)學工(gong)作者(zhe)、工(gong)程師以及(ji)大(da)學生(sheng)和(he)研究生(sheng)廣泛使(shi)用(yong)(yong)(yong)，目前已經(jing)成為(wei)國際市場上科(ke)學研究和(he)工(gong)程應(ying)(ying)用(yong)(yong)(yong)方(fang)面的主導軟(ruan)(ruan)件(jian)(jian)。掌握MATLAB并借助它解決理(li)論與應(ying)(ying)用(yong)(yong)(yong)問題(ti)已經(jing)成為(wei)每一(yi)個從(cong)事科(ke)學研究和(he)工(gong)程技術人員應(ying)(ying)該(gai)具備(bei)的技能。MATLAB給用(yong)(yong)(yong)戶(hu)帶(dai)來的是(shi)(shi)最(zui)直(zhi)觀，最(zui)簡潔的程序(xu)開發(fa)環境。

MATLAB系統的(de)(de)(de)(de)(de)(de)基本函數(shu)(shu)(shu)(shu)(shu)(shu)庫具(ju)有初等(deng)函數(shu)(shu)(shu)(shu)(shu)(shu)、初等(deng)矩陣(zhen)和(he)矩陣(zhen)變(bian)換，包括(kuo)線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)方(fang)(fang)(fang)程組和(he)矩陣(zhen)特征值問題等(deng)數(shu)(shu)(shu)(shu)(shu)(shu)值線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)、多項式運算和(he)求(qiu)根、數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)和(he)傅立(li)葉變(bian)換以(yi)及(ji)某些特殊(shu)的(de)(de)(de)(de)(de)(de)矩陣(zhen)函數(shu)(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)(shu)學函數(shu)(shu)(shu)(shu)(shu)(shu)等(deng)眾多內(nei)容。另外，MATLAB具(ju)有二維(wei)、三(san)維(wei)曲線(xian)和(he)三(san)維(wei)曲面繪圖(tu)功(gong)(gong)能(neng)(neng)，使用方(fang)(fang)(fang)法十分(fen)(fen)(fen)(fen)(fen)(fen)方(fang)(fang)(fang)便(bian)。應(ying)用MATLAB軟件(jian)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)試(shi)驗數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)MATLAB提供(gong)了完(wan)整的(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)與可視(shi)化(hua)能(neng)(neng)力，通過(guo)工具(ju)箱(xiang)直(zhi)接將(jiang)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)導入到(dao)MATLAB的(de)(de)(de)(de)(de)(de)工作(zuo)空間，利用MATLAB的(de)(de)(de)(de)(de)(de)強大靈活的(de)(de)(de)(de)(de)(de)手段進行(xing)快速而又準確的(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)。這包括(kuo)使用MATLAB提供(gong)的(de)(de)(de)(de)(de)(de)高級(ji)數(shu)(shu)(shu)(shu)(shu)(shu)學和(he)可視(shi)化(hua)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)能(neng)(neng)力，在(zai)(zai)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)采集過(guo)程中或者采集完(wan)畢后，進行(xing)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)以(yi)及(ji)可視(shi)化(hua)工作(zuo)。利用MATLAB軟件(jian)的(de)(de)(de)(de)(de)(de)強大功(gong)(gong)能(neng)(neng)，對試(shi)驗得出的(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)進行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)，主要分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)方(fang)(fang)(fang)法有對數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)法、對數(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)法、兩參數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)法、三(san)參數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)法，并將(jiang)這些分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)法分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)得到(dao)的(de)(de)(de)(de)(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)在(zai)(zai)MATLAB中利用它的(de)(de)(de)(de)(de)(de)繪圖(tu)功(gong)(gong)能(neng)(neng)在(zai)(zai)雙對數(shu)(shu)(shu)(shu)(shu)(shu)坐標(biao)下(xia)進行(xing)最小二乘法的(de)(de)(de)(de)(de)(de)線(xian)性擬合，得到(dao)不同可靠度、不同置(zhi)信(xin)度下(xia)的(de)(de)(de)(de)(de)(de)R-S-N疲勞曲線(xian)。其中，因(yin)為MATLAB提供(gong)了大量的(de)(de)(de)(de)(de)(de)內(nei)置(zhi)函數(shu)(shu)(shu)(shu)(shu)(shu)，從而使試(shi)驗數(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)的(de)(de)(de)(de)(de)(de)分(fen)(fen)(fen)(fen)(fen)(fen)析(xi)(xi)(xi)更(geng)方(fang)(fang)(fang)便(bian)、更(geng)準確。

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