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(chi)輪(lun)嚙合傳(chuan)動過(guo)程中(zhong)，齒輪齒根的危(wei)險(xian)截(jie)面(mian)承受(shou)彎曲應(ying)(ying)(ying)力(li)、壓(ya)應(ying)(ying)(ying)力(li)和剪切(qie)應(ying)(ying)(ying)力(li)，起主導作，齒根受(shou)拉(la)一側危(wei)險(xian)截(jie)面(mian)處(chu)的應(ying)(ying)(ying)力(li)應(ying)(ying)(ying)為彎曲拉(la)應(ying)(ying)(ying)力(li)和殘余壓(ya)應(ying)(ying)(ying)力(li)的合成。

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)(de)工(gong)作(zuo)壽(shou)(shou)(shou)命(ming)(ming)與最大(da)(da)(da)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)應力(li)(li)值的(de)(de)(de)n（n6）次(ci)方(fang)成(cheng)反(fan)比(bi)，即彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)應力(li)(li)略微減小，可(ke)使齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)工(gong)作(zuo)壽(shou)(shou)(shou)命(ming)(ming)大(da)(da)(da)大(da)(da)(da)延長。在齒(chi)(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)(qu)(qu)線(xian)處，形體發(fa)生突變，將會(hui)產生應力(li)(li)集中現象，所(suo)以(yi)(yi)漸開線(xian)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)最大(da)(da)(da)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)應力(li)(li)總是發(fa)生在齒(chi)(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)(qu)(qu)線(xian)處，這(zhe)會(hui)直(zhi)接影響齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)壽(shou)(shou)(shou)命(ming)(ming)。最大(da)(da)(da)齒(chi)(chi)(chi)(chi)根(gen)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)應力(li)(li)值與齒(chi)(chi)(chi)(chi)根(gen)過渡曲(qu)(qu)(qu)(qu)(qu)線(xian)的(de)(de)(de)形狀(zhuang)及(ji)其微分性(xing)質關系很大(da)(da)(da)。進行(xing)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)疲(pi)勞(lao)(lao)試(shi)驗(yan)(yan)，得出試(shi)驗(yan)(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)的(de)(de)(de)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)疲(pi)勞(lao)(lao)強(qiang)度的(de)(de)(de)數(shu)據利用(yong)(yong)冶金機械廠提供的(de)(de)(de)斜齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)試(shi)件，進行(xing)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)疲(pi)勞(lao)(lao)的(de)(de)(de)試(shi)驗(yan)(yan)。試(shi)驗(yan)(yan)預采(cai)用(yong)(yong)雙齒(chi)(chi)(chi)(chi)脈動加(jia)載法(fa)。被試(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)在所(suo)有(you)試(shi)驗(yan)(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)中隨機抽取(qu)，并保證同一(yi)應力(li)(li)水(shui)(shui)平(ping)的(de)(de)(de)被試(shi)齒(chi)(chi)(chi)(chi)來自各個(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)。在短壽(shou)(shou)(shou)命(ming)(ming)區(qu)采(cai)用(yong)(yong)四級恒得出每個(ge)應力(li)(li)水(shui)(shui)平(ping)對(dui)應的(de)(de)(de)48個(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)試(shi)驗(yan)(yan)的(de)(de)(de)壽(shou)(shou)(shou)命(ming)(ming)，以(yi)(yi)擬合疲(pi)勞(lao)(lao)曲(qu)(qu)(qu)(qu)(qu)線(xian)傾斜段方(fang)程(cheng)；在長壽(shou)(shou)(shou)命(ming)(ming)區(qu)采(cai)用(yong)(yong)應力(li)(li)升降法(fa)，以(yi)(yi)確定疲(pi)勞(lao)(lao)曲(qu)(qu)(qu)(qu)(qu)線(xian)水(shui)(shui)平(ping)段方(fang)程(cheng)，從而(er)獲得完(wan)整的(de)(de)(de)齒(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)(lun)(lun)彎(wan)(wan)曲(qu)(qu)(qu)(qu)(qu)疲(pi)勞(lao)(lao)曲(qu)(qu)(qu)(qu)(qu)線(xian)。

試(shi)驗(yan)(yan)因采用(yong)(yong)(yong)雙齒(chi)加載試(shi)驗(yan)(yan)，當其中(zhong)一(yi)個(ge)齒(chi)失效(xiao)(xiao)（以輪齒(chi)折斷(duan)或輪齒(chi)裂紋(wen)擴展致使試(shi)驗(yan)(yan)機聲(sheng)音突變時的(de)應(ying)力(li)循(xun)環次數(shu)(shu)(shu)為(wei)失效(xiao)(xiao)壽(shou)(shou)命）時，試(shi)驗(yan)(yan)就停止。對于未失效(xiao)(xiao)齒(chi)來說(shuo)，該壽(shou)(shou)命是中(zhong)止試(shi)驗(yan)(yan)數(shu)(shu)(shu)據(ju)。這(zhe)樣(yang)可(ke)(ke)以采用(yong)(yong)(yong)數(shu)(shu)(shu)值分布得(de)(de)出(chu)每(mei)次應(ying)力(li)水平Si的(de)失效(xiao)(xiao)密度(du)函數(shu)(shu)(shu)，便于得(de)(de)出(chu)不同可(ke)(ke)靠(kao)度(du)R下的(de)應(ying)力(li)Si與壽(shou)(shou)命Ni之間的(de)關(guan)系。為(wei)充(chong)分利(li)用(yong)(yong)(yong)試(shi)驗(yan)(yan)信息(xi)，數(shu)(shu)(shu)據(ju)處理中(zhong)采用(yong)(yong)(yong)了平均順(shun)序(xu)法進行(xing)壽(shou)(shou)命分布檢驗(yan)(yan)。應(ying)用(yong)(yong)(yong)MATLAB軟件對試(shi)驗(yan)(yan)數(shu)(shu)(shu)據(ju)進行(xing)分析MATLAB是一(yi)種科(ke)學(xue)(xue)計算(suan)軟件，專門以矩陣(zhen)的(de)形式處理數(shu)(shu)(shu)據(ju)。利(li)用(yong)(yong)(yong)MATLAB軟件，對試(shi)驗(yan)(yan)數(shu)(shu)(shu)據(ju)進行(xing)分析。MATLAB的(de)語言特(te)點MATLAB是美(mei)國(guo)MathWorks公(gong)司開發(fa)的(de)大(da)(da)型(xing)數(shu)(shu)(shu)學(xue)(xue)計算(suan)應(ying)用(yong)(yong)(yong)軟件系統，它提供了強大(da)(da)的(de)矩陣(zhen)處理和(he)繪圖功能，簡(jian)單易用(yong)(yong)(yong)，可(ke)(ke)信度(du)高，靈活(huo)性好(hao)，因而在世界(jie)范圍(wei)內被科(ke)學(xue)(xue)工(gong)(gong)作者、工(gong)(gong)程師(shi)以及大(da)(da)學(xue)(xue)生(sheng)和(he)研究生(sheng)廣泛使用(yong)(yong)(yong)，目前已經成(cheng)為(wei)國(guo)際市場上科(ke)學(xue)(xue)研究和(he)工(gong)(gong)程應(ying)用(yong)(yong)(yong)方面的(de)主導軟件。掌握MATLAB并借(jie)助(zhu)它解決理論與應(ying)用(yong)(yong)(yong)問題已經成(cheng)為(wei)每(mei)一(yi)個(ge)從(cong)事科(ke)學(xue)(xue)研究和(he)工(gong)(gong)程技術人員應(ying)該具備的(de)技能。MATLAB給用(yong)(yong)(yong)戶帶來的(de)是最直觀，最簡(jian)潔的(de)程序(xu)開發(fa)環境。

MATLAB系統的(de)(de)基本函(han)(han)(han)(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)庫具有(you)初(chu)(chu)等(deng)函(han)(han)(han)(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)、初(chu)(chu)等(deng)矩陣和(he)矩陣變(bian)換(huan)，包括(kuo)線(xian)性(xing)代數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)方(fang)(fang)程(cheng)組和(he)矩陣特征(zheng)值(zhi)問題等(deng)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)值(zhi)線(xian)性(xing)代數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)、多項式運算和(he)求根(gen)、數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)和(he)傅立葉變(bian)換(huan)以(yi)及(ji)某(mou)些特殊的(de)(de)矩陣函(han)(han)(han)(han)(han)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(han)(han)(han)(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)等(deng)眾(zhong)多內(nei)容。另外(wai)，MATLAB具有(you)二維、三維曲線(xian)和(he)三維曲面繪圖(tu)功(gong)能(neng)(neng)，使(shi)用(yong)方(fang)(fang)法(fa)(fa)十分(fen)(fen)(fen)方(fang)(fang)便。應用(yong)MATLAB軟件分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)試(shi)(shi)驗數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)MATLAB提(ti)(ti)供了(le)完整的(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)與可(ke)視化能(neng)(neng)力，通過工(gong)具箱直(zhi)接將數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)導入到MATLAB的(de)(de)工(gong)作(zuo)空間(jian)，利用(yong)MATLAB的(de)(de)強(qiang)大(da)靈(ling)活的(de)(de)手段進(jin)行(xing)快速而(er)又(you)準確的(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)。這包括(kuo)使(shi)用(yong)MATLAB提(ti)(ti)供的(de)(de)高級數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)學(xue)和(he)可(ke)視化分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)能(neng)(neng)力，在數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)采(cai)(cai)集(ji)過程(cheng)中(zhong)或(huo)者(zhe)采(cai)(cai)集(ji)完畢后，進(jin)行(xing)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)以(yi)及(ji)可(ke)視化工(gong)作(zuo)。利用(yong)MATLAB軟件的(de)(de)強(qiang)大(da)功(gong)能(neng)(neng)，對試(shi)(shi)驗得(de)出的(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)進(jin)行(xing)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)，主(zhu)要分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)方(fang)(fang)法(fa)(fa)有(you)對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、兩參(can)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、三參(can)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)，并將這些分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)得(de)到的(de)(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)在MATLAB中(zhong)利用(yong)它的(de)(de)繪圖(tu)功(gong)能(neng)(neng)在雙(shuang)對數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)坐標下進(jin)行(xing)最(zui)小二乘法(fa)(fa)的(de)(de)線(xian)性(xing)擬合，得(de)到不(bu)同可(ke)靠度、不(bu)同置信(xin)度下的(de)(de)R-S-N疲勞曲線(xian)。其中(zhong)，因為(wei)MATLAB提(ti)(ti)供了(le)大(da)量(liang)的(de)(de)內(nei)置函(han)(han)(han)(han)(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)，從而(er)使(shi)試(shi)(shi)驗數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)的(de)(de)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)更(geng)方(fang)(fang)便、更(geng)準確。

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