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，齒輪(lun)齒根的(de)危險(xian)截(jie)面(mian)承受彎(wan)(wan)曲應(ying)力、壓應(ying)力和剪切應(ying)力，起主導作，齒根受拉一側(ce)危險(xian)截(jie)面(mian)處的(de)應(ying)力應(ying)為彎(wan)(wan)曲拉應(ying)力和殘余壓應(ying)力的(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)壽(shou)命(ming)(ming)與最大彎(wan)(wan)曲(qu)(qu)(qu)(qu)應(ying)(ying)力值(zhi)的(de)(de)n（n6）次(ci)方成(cheng)反比，即彎(wan)(wan)曲(qu)(qu)(qu)(qu)應(ying)(ying)力略微減小(xiao)，可使齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)工作(zuo)壽(shou)命(ming)(ming)大大延長。在齒(chi)(chi)(chi)(chi)根(gen)(gen)過(guo)渡(du)(du)曲(qu)(qu)(qu)(qu)線(xian)(xian)處，形(xing)體發(fa)生突(tu)變，將會(hui)產生應(ying)(ying)力集中(zhong)現象(xiang)，所(suo)以(yi)漸開線(xian)(xian)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)最大彎(wan)(wan)曲(qu)(qu)(qu)(qu)應(ying)(ying)力總是發(fa)生在齒(chi)(chi)(chi)(chi)根(gen)(gen)過(guo)渡(du)(du)曲(qu)(qu)(qu)(qu)線(xian)(xian)處，這會(hui)直(zhi)接影響(xiang)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)壽(shou)命(ming)(ming)。最大齒(chi)(chi)(chi)(chi)根(gen)(gen)彎(wan)(wan)曲(qu)(qu)(qu)(qu)應(ying)(ying)力值(zhi)與齒(chi)(chi)(chi)(chi)根(gen)(gen)過(guo)渡(du)(du)曲(qu)(qu)(qu)(qu)線(xian)(xian)的(de)(de)形(xing)狀(zhuang)及其微分(fen)性質關系很大。進(jin)行齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)(qu)疲勞試(shi)(shi)驗，得(de)出試(shi)(shi)驗齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)(qu)疲勞強(qiang)度的(de)(de)數據(ju)利用(yong)冶金機械廠提(ti)供的(de)(de)斜齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)試(shi)(shi)件，進(jin)行齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)(qu)疲勞的(de)(de)試(shi)(shi)驗。試(shi)(shi)驗預采(cai)用(yong)雙齒(chi)(chi)(chi)(chi)脈(mo)動加載法。被試(shi)(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)在所(suo)有試(shi)(shi)驗齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)中(zhong)隨機抽取，并保證同(tong)一應(ying)(ying)力水(shui)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)(lun)。在短壽(shou)命(ming)(ming)區采(cai)用(yong)四(si)級恒得(de)出每個(ge)應(ying)(ying)力水(shui)平對應(ying)(ying)的(de)(de)48個(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)試(shi)(shi)驗的(de)(de)壽(shou)命(ming)(ming)，以(yi)擬合疲勞曲(qu)(qu)(qu)(qu)線(xian)(xian)傾斜段方程；在長壽(shou)命(ming)(ming)區采(cai)用(yong)應(ying)(ying)力升降法，以(yi)確定(ding)疲勞曲(qu)(qu)(qu)(qu)線(xian)(xian)水(shui)平段方程，從而(er)獲得(de)完整的(de)(de)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)(qu)疲勞曲(qu)(qu)(qu)(qu)線(xian)(xian)。

試(shi)(shi)(shi)(shi)驗(yan)因采用(yong)(yong)(yong)雙齒(chi)(chi)(chi)(chi)加載試(shi)(shi)(shi)(shi)驗(yan)，當其中一個齒(chi)(chi)(chi)(chi)失效(xiao)(xiao)(xiao)（以(yi)(yi)輪齒(chi)(chi)(chi)(chi)折斷(duan)或輪齒(chi)(chi)(chi)(chi)裂紋(wen)擴展致使試(shi)(shi)(shi)(shi)驗(yan)機聲(sheng)音突變(bian)時(shi)的(de)(de)應(ying)(ying)(ying)力循環次數(shu)為失效(xiao)(xiao)(xiao)壽命(ming)）時(shi)，試(shi)(shi)(shi)(shi)驗(yan)就停止。對(dui)于(yu)未失效(xiao)(xiao)(xiao)齒(chi)(chi)(chi)(chi)來(lai)說，該壽命(ming)是中止試(shi)(shi)(shi)(shi)驗(yan)數(shu)據。這(zhe)樣(yang)可以(yi)(yi)采用(yong)(yong)(yong)數(shu)值分布(bu)得(de)(de)出(chu)每次應(ying)(ying)(ying)力水平Si的(de)(de)失效(xiao)(xiao)(xiao)密度函數(shu)，便于(yu)得(de)(de)出(chu)不同可靠度R下(xia)的(de)(de)應(ying)(ying)(ying)力Si與壽命(ming)Ni之間(jian)的(de)(de)關系。為充分利用(yong)(yong)(yong)試(shi)(shi)(shi)(shi)驗(yan)信息，數(shu)據處(chu)(chu)理(li)中采用(yong)(yong)(yong)了平均順序法進(jin)行(xing)(xing)壽命(ming)分布(bu)檢驗(yan)。應(ying)(ying)(ying)用(yong)(yong)(yong)MATLAB軟(ruan)(ruan)(ruan)件對(dui)試(shi)(shi)(shi)(shi)驗(yan)數(shu)據進(jin)行(xing)(xing)分析MATLAB是一種(zhong)科(ke)學計(ji)算(suan)軟(ruan)(ruan)(ruan)件，專門以(yi)(yi)矩(ju)陣的(de)(de)形式處(chu)(chu)理(li)數(shu)據。利用(yong)(yong)(yong)MATLAB軟(ruan)(ruan)(ruan)件，對(dui)試(shi)(shi)(shi)(shi)驗(yan)數(shu)據進(jin)行(xing)(xing)分析。MATLAB的(de)(de)語(yu)言特點MATLAB是美國MathWorks公司(si)開(kai)發的(de)(de)大(da)型數(shu)學計(ji)算(suan)應(ying)(ying)(ying)用(yong)(yong)(yong)軟(ruan)(ruan)(ruan)件系統(tong)，它提供了強大(da)的(de)(de)矩(ju)陣處(chu)(chu)理(li)和(he)繪(hui)圖(tu)功(gong)能(neng)，簡(jian)單易用(yong)(yong)(yong)，可信度高，靈(ling)活性(xing)好，因而(er)在世界范(fan)圍內(nei)被科(ke)學工(gong)作者、工(gong)程(cheng)(cheng)師以(yi)(yi)及大(da)學生和(he)研究(jiu)生廣泛使用(yong)(yong)(yong)，目前(qian)已經(jing)成為國際(ji)市場上(shang)科(ke)學研究(jiu)和(he)工(gong)程(cheng)(cheng)應(ying)(ying)(ying)用(yong)(yong)(yong)方面(mian)的(de)(de)主導軟(ruan)(ruan)(ruan)件。掌握MATLAB并借(jie)助它解(jie)決理(li)論與應(ying)(ying)(ying)用(yong)(yong)(yong)問題已經(jing)成為每一個從(cong)事科(ke)學研究(jiu)和(he)工(gong)程(cheng)(cheng)技(ji)術人員應(ying)(ying)(ying)該具備的(de)(de)技(ji)能(neng)。MATLAB給(gei)用(yong)(yong)(yong)戶(hu)帶來(lai)的(de)(de)是最直觀，最簡(jian)潔(jie)的(de)(de)程(cheng)(cheng)序開(kai)發環境。

MATLAB系統(tong)的(de)(de)(de)(de)基本(ben)函(han)數(shu)(shu)(shu)庫具有初等函(han)數(shu)(shu)(shu)、初等矩(ju)陣和(he)(he)(he)矩(ju)陣變換，包括線(xian)(xian)性(xing)代(dai)數(shu)(shu)(shu)方(fang)程(cheng)組(zu)和(he)(he)(he)矩(ju)陣特征值(zhi)問題等數(shu)(shu)(shu)值(zhi)線(xian)(xian)性(xing)代(dai)數(shu)(shu)(shu)、多項式運(yun)算和(he)(he)(he)求(qiu)根、數(shu)(shu)(shu)據(ju)分(fen)(fen)析(xi)(xi)(xi)和(he)(he)(he)傅立葉變換以(yi)及(ji)某(mou)些(xie)特殊的(de)(de)(de)(de)矩(ju)陣函(han)數(shu)(shu)(shu)和(he)(he)(he)數(shu)(shu)(shu)學函(han)數(shu)(shu)(shu)等眾多內(nei)容。另(ling)外，MATLAB具有二維、三(san)維曲線(xian)(xian)和(he)(he)(he)三(san)維曲面繪圖功(gong)能(neng)，使(shi)用(yong)(yong)(yong)方(fang)法十分(fen)(fen)方(fang)便(bian)。應用(yong)(yong)(yong)MATLAB軟件(jian)分(fen)(fen)析(xi)(xi)(xi)試(shi)驗(yan)數(shu)(shu)(shu)據(ju)MATLAB提供了完整的(de)(de)(de)(de)數(shu)(shu)(shu)據(ju)分(fen)(fen)析(xi)(xi)(xi)與可(ke)視化能(neng)力，通過(guo)工(gong)(gong)具箱(xiang)直接將數(shu)(shu)(shu)據(ju)導入到(dao)(dao)MATLAB的(de)(de)(de)(de)工(gong)(gong)作空間(jian)，利(li)用(yong)(yong)(yong)MATLAB的(de)(de)(de)(de)強大靈活的(de)(de)(de)(de)手段(duan)進行(xing)快速而(er)又準確的(de)(de)(de)(de)數(shu)(shu)(shu)據(ju)分(fen)(fen)析(xi)(xi)(xi)。這包括使(shi)用(yong)(yong)(yong)MATLAB提供的(de)(de)(de)(de)高級數(shu)(shu)(shu)學和(he)(he)(he)可(ke)視化分(fen)(fen)析(xi)(xi)(xi)能(neng)力，在數(shu)(shu)(shu)據(ju)采(cai)集過(guo)程(cheng)中或者(zhe)采(cai)集完畢后(hou)，進行(xing)數(shu)(shu)(shu)據(ju)分(fen)(fen)析(xi)(xi)(xi)分(fen)(fen)析(xi)(xi)(xi)以(yi)及(ji)可(ke)視化工(gong)(gong)作。利(li)用(yong)(yong)(yong)MATLAB軟件(jian)的(de)(de)(de)(de)強大功(gong)能(neng)，對試(shi)驗(yan)得(de)出的(de)(de)(de)(de)數(shu)(shu)(shu)據(ju)進行(xing)分(fen)(fen)析(xi)(xi)(xi)，主要分(fen)(fen)析(xi)(xi)(xi)方(fang)法有對數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)法、對數(shu)(shu)(shu)正態分(fen)(fen)析(xi)(xi)(xi)法、兩參數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)法、三(san)參數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)法，并將這些(xie)分(fen)(fen)析(xi)(xi)(xi)法分(fen)(fen)析(xi)(xi)(xi)得(de)到(dao)(dao)的(de)(de)(de)(de)數(shu)(shu)(shu)據(ju)在MATLAB中利(li)用(yong)(yong)(yong)它的(de)(de)(de)(de)繪圖功(gong)能(neng)在雙對數(shu)(shu)(shu)坐標下進行(xing)最小(xiao)二乘法的(de)(de)(de)(de)線(xian)(xian)性(xing)擬(ni)合，得(de)到(dao)(dao)不同可(ke)靠度(du)、不同置信度(du)下的(de)(de)(de)(de)R-S-N疲勞曲線(xian)(xian)。其中，因(yin)為MATLAB提供了大量(liang)的(de)(de)(de)(de)內(nei)置函(han)數(shu)(shu)(shu)，從而(er)使(shi)試(shi)驗(yan)數(shu)(shu)(shu)據(ju)的(de)(de)(de)(de)分(fen)(fen)析(xi)(xi)(xi)更方(fang)便(bian)、更準確。

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