軟件對斜齒(chi)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程中，齒(chi)輪(lun)齒(chi)根(gen)的(de)危險截(jie)面承受彎(wan)曲(qu)應力(li)、壓應力(li)和剪切應力(li)，起主(zhu)導(dao)作，齒(chi)根(gen)受拉(la)一側危險截(jie)面處的(de)應力(li)應為(wei)彎(wan)曲(qu)拉(la)應力(li)和殘余壓應力(li)的(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。齒輪的(de)(de)工作(zuo)(zuo)壽命(ming)(ming)與最大(da)彎曲(qu)(qu)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)值(zhi)的(de)(de)n（n6）次方(fang)(fang)成反比，即彎曲(qu)(qu)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)略微減小(xiao)，可使(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)工作(zuo)(zuo)壽命(ming)(ming)大(da)大(da)延長。在(zai)(zai)(zai)齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)線(xian)(xian)處(chu)，形體發(fa)生突變，將會產生應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)集中現象，所以漸開線(xian)(xian)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)最大(da)彎曲(qu)(qu)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)總(zong)是發(fa)生在(zai)(zai)(zai)齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)線(xian)(xian)處(chu)，這會直接影(ying)響齒(chi)(chi)(chi)(chi)輪(lun)(lun)壽命(ming)(ming)。最大(da)齒(chi)(chi)(chi)(chi)根彎曲(qu)(qu)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)值(zhi)與齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)線(xian)(xian)的(de)(de)形狀(zhuang)及其(qi)微分性質(zhi)關(guan)系很(hen)大(da)。進行(xing)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎曲(qu)(qu)疲(pi)(pi)勞(lao)(lao)試(shi)(shi)驗(yan)(yan)，得(de)出試(shi)(shi)驗(yan)(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)彎曲(qu)(qu)疲(pi)(pi)勞(lao)(lao)強度的(de)(de)數據(ju)利(li)用(yong)(yong)冶金機(ji)械(xie)廠(chang)提供的(de)(de)斜齒(chi)(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)件，進行(xing)齒(chi)(chi)(chi)(chi)輪(lun)(lun)彎曲(qu)(qu)疲(pi)(pi)勞(lao)(lao)的(de)(de)試(shi)(shi)驗(yan)(yan)。試(shi)(shi)驗(yan)(yan)預(yu)采(cai)(cai)用(yong)(yong)雙(shuang)齒(chi)(chi)(chi)(chi)脈動(dong)加載法(fa)。被試(shi)(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)在(zai)(zai)(zai)所有試(shi)(shi)驗(yan)(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)中隨機(ji)抽(chou)取，并保證同一應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)水平的(de)(de)被試(shi)(shi)齒(chi)(chi)(chi)(chi)來自各個(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)。在(zai)(zai)(zai)短壽命(ming)(ming)區(qu)采(cai)(cai)用(yong)(yong)四(si)級恒(heng)得(de)出每個(ge)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)水平對應(ying)(ying)(ying)(ying)的(de)(de)48個(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)試(shi)(shi)驗(yan)(yan)的(de)(de)壽命(ming)(ming)，以擬合(he)疲(pi)(pi)勞(lao)(lao)曲(qu)(qu)線(xian)(xian)傾斜段方(fang)(fang)程(cheng)；在(zai)(zai)(zai)長壽命(ming)(ming)區(qu)采(cai)(cai)用(yong)(yong)應(ying)(ying)(ying)(ying)力(li)(li)(li)(li)升降法(fa)，以確定疲(pi)(pi)勞(lao)(lao)曲(qu)(qu)線(xian)(xian)水平段方(fang)(fang)程(cheng)，從而(er)獲得(de)完整的(de)(de)齒(chi)(chi)(chi)(chi)輪(lun)(lun)彎曲(qu)(qu)疲(pi)(pi)勞(lao)(lao)曲(qu)(qu)線(xian)(xian)。

試(shi)驗(yan)(yan)因采(cai)(cai)用(yong)(yong)(yong)(yong)雙齒(chi)加載試(shi)驗(yan)(yan)，當其中(zhong)一個齒(chi)失效（以(yi)輪齒(chi)折斷或輪齒(chi)裂紋(wen)擴展(zhan)致使試(shi)驗(yan)(yan)機(ji)聲音突變時(shi)的(de)(de)(de)應(ying)(ying)力循環次數(shu)為(wei)失效壽命(ming)(ming)）時(shi)，試(shi)驗(yan)(yan)就停止。對于(yu)未失效齒(chi)來說，該壽命(ming)(ming)是(shi)中(zhong)止試(shi)驗(yan)(yan)數(shu)據。這樣可以(yi)采(cai)(cai)用(yong)(yong)(yong)(yong)數(shu)值分(fen)布(bu)得出每次應(ying)(ying)力水平(ping)Si的(de)(de)(de)失效密度函數(shu)，便于(yu)得出不同可靠度R下的(de)(de)(de)應(ying)(ying)力Si與壽命(ming)(ming)Ni之(zhi)間的(de)(de)(de)關系。為(wei)充分(fen)利用(yong)(yong)(yong)(yong)試(shi)驗(yan)(yan)信(xin)(xin)息，數(shu)據處理(li)中(zhong)采(cai)(cai)用(yong)(yong)(yong)(yong)了平(ping)均順序法進(jin)行(xing)壽命(ming)(ming)分(fen)布(bu)檢驗(yan)(yan)。應(ying)(ying)用(yong)(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)(jian)(jian)對試(shi)驗(yan)(yan)數(shu)據進(jin)行(xing)分(fen)析(xi)MATLAB是(shi)一種科(ke)學(xue)計算(suan)軟(ruan)(ruan)件(jian)(jian)(jian)，專門以(yi)矩陣的(de)(de)(de)形式處理(li)數(shu)據。利用(yong)(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)(jian)(jian)，對試(shi)驗(yan)(yan)數(shu)據進(jin)行(xing)分(fen)析(xi)。MATLAB的(de)(de)(de)語言特點(dian)MATLAB是(shi)美國MathWorks公司開發(fa)(fa)的(de)(de)(de)大型數(shu)學(xue)計算(suan)應(ying)(ying)用(yong)(yong)(yong)(yong)軟(ruan)(ruan)件(jian)(jian)(jian)系統，它提供了強(qiang)大的(de)(de)(de)矩陣處理(li)和繪圖(tu)功能，簡(jian)單易用(yong)(yong)(yong)(yong)，可信(xin)(xin)度高，靈活(huo)性好，因而在世界范圍內被科(ke)學(xue)工作者、工程師以(yi)及大學(xue)生和研究生廣泛(fan)使用(yong)(yong)(yong)(yong)，目(mu)前(qian)已經(jing)成為(wei)國際市場上(shang)科(ke)學(xue)研究和工程應(ying)(ying)用(yong)(yong)(yong)(yong)方面的(de)(de)(de)主(zhu)導(dao)軟(ruan)(ruan)件(jian)(jian)(jian)。掌(zhang)握MATLAB并借助它解決(jue)理(li)論與應(ying)(ying)用(yong)(yong)(yong)(yong)問(wen)題已經(jing)成為(wei)每一個從事科(ke)學(xue)研究和工程技術人員應(ying)(ying)該具備的(de)(de)(de)技能。MATLAB給用(yong)(yong)(yong)(yong)戶帶來的(de)(de)(de)是(shi)最直觀，最簡(jian)潔的(de)(de)(de)程序開發(fa)(fa)環境。

MATLAB系統的基本(ben)函(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)庫具(ju)(ju)有初等(deng)函(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)、初等(deng)矩(ju)(ju)陣和(he)矩(ju)(ju)陣變(bian)換(huan)，包括(kuo)線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)方程組(zu)和(he)矩(ju)(ju)陣特征值問題等(deng)數(shu)(shu)(shu)(shu)(shu)(shu)值線(xian)性代數(shu)(shu)(shu)(shu)(shu)(shu)、多(duo)項式運(yun)算和(he)求根、數(shu)(shu)(shu)(shu)(shu)(shu)據分(fen)(fen)析(xi)(xi)和(he)傅(fu)立葉變(bian)換(huan)以(yi)及(ji)某些(xie)特殊的矩(ju)(ju)陣函(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)(shu)學函(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)等(deng)眾多(duo)內容(rong)。另外，MATLAB具(ju)(ju)有二維(wei)、三維(wei)曲線(xian)和(he)三維(wei)曲面繪(hui)(hui)圖功(gong)(gong)能(neng)(neng)，使用(yong)方法(fa)(fa)十分(fen)(fen)方便(bian)。應用(yong)MATLAB軟(ruan)件分(fen)(fen)析(xi)(xi)試驗數(shu)(shu)(shu)(shu)(shu)(shu)據MATLAB提(ti)供了完(wan)整(zheng)的數(shu)(shu)(shu)(shu)(shu)(shu)據分(fen)(fen)析(xi)(xi)與可視(shi)化能(neng)(neng)力(li)，通(tong)過(guo)工具(ju)(ju)箱直接將數(shu)(shu)(shu)(shu)(shu)(shu)據導(dao)入到(dao)(dao)MATLAB的工作空間(jian)，利(li)用(yong)MATLAB的強大(da)靈活的手(shou)段(duan)進(jin)行快速而又準確(que)的數(shu)(shu)(shu)(shu)(shu)(shu)據分(fen)(fen)析(xi)(xi)。這包括(kuo)使用(yong)MATLAB提(ti)供的高級數(shu)(shu)(shu)(shu)(shu)(shu)學和(he)可視(shi)化分(fen)(fen)析(xi)(xi)能(neng)(neng)力(li)，在(zai)(zai)數(shu)(shu)(shu)(shu)(shu)(shu)據采集(ji)過(guo)程中(zhong)或者采集(ji)完(wan)畢后，進(jin)行數(shu)(shu)(shu)(shu)(shu)(shu)據分(fen)(fen)析(xi)(xi)分(fen)(fen)析(xi)(xi)以(yi)及(ji)可視(shi)化工作。利(li)用(yong)MATLAB軟(ruan)件的強大(da)功(gong)(gong)能(neng)(neng)，對(dui)試驗得出的數(shu)(shu)(shu)(shu)(shu)(shu)據進(jin)行分(fen)(fen)析(xi)(xi)，主要分(fen)(fen)析(xi)(xi)方法(fa)(fa)有對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)法(fa)(fa)、對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)析(xi)(xi)法(fa)(fa)、兩參數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)法(fa)(fa)、三參數(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)法(fa)(fa)，并將這些(xie)分(fen)(fen)析(xi)(xi)法(fa)(fa)分(fen)(fen)析(xi)(xi)得到(dao)(dao)的數(shu)(shu)(shu)(shu)(shu)(shu)據在(zai)(zai)MATLAB中(zhong)利(li)用(yong)它的繪(hui)(hui)圖功(gong)(gong)能(neng)(neng)在(zai)(zai)雙對(dui)數(shu)(shu)(shu)(shu)(shu)(shu)坐標下(xia)進(jin)行最(zui)小二乘(cheng)法(fa)(fa)的線(xian)性擬合，得到(dao)(dao)不(bu)同可靠度(du)、不(bu)同置信(xin)度(du)下(xia)的R-S-N疲勞曲線(xian)。其中(zhong)，因為MATLAB提(ti)供了大(da)量的內置函(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)，從而使試驗數(shu)(shu)(shu)(shu)(shu)(shu)據的分(fen)(fen)析(xi)(xi)更方便(bian)、更準確(que)。

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