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(nie)合傳動過程中，齒輪齒根(gen)的(de)危險截(jie)面承受(shou)(shou)彎曲應(ying)力(li)、壓應(ying)力(li)和(he)剪(jian)切應(ying)力(li)，起主導作，齒根(gen)受(shou)(shou)拉一側危險截(jie)面處(chu)的(de)應(ying)力(li)應(ying)為彎曲拉應(ying)力(li)和(he)殘余壓應(ying)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)(de)工作壽(shou)命(ming)(ming)與最大(da)彎(wan)(wan)(wan)曲(qu)(qu)(qu)應(ying)力(li)(li)值的(de)(de)(de)n（n6）次方(fang)(fang)(fang)成反比，即彎(wan)(wan)(wan)曲(qu)(qu)(qu)應(ying)力(li)(li)略微減小，可使齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)(de)工作壽(shou)命(ming)(ming)大(da)大(da)延長。在(zai)齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)處(chu)，形(xing)(xing)體發(fa)生突變，將(jiang)會產生應(ying)力(li)(li)集中現象，所(suo)以漸開(kai)線(xian)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)(de)最大(da)彎(wan)(wan)(wan)曲(qu)(qu)(qu)應(ying)力(li)(li)總是發(fa)生在(zai)齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)處(chu)，這會直接影響齒(chi)(chi)(chi)(chi)輪(lun)(lun)壽(shou)命(ming)(ming)。最大(da)齒(chi)(chi)(chi)(chi)根彎(wan)(wan)(wan)曲(qu)(qu)(qu)應(ying)力(li)(li)值與齒(chi)(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)的(de)(de)(de)形(xing)(xing)狀及(ji)其微分性(xing)質關系(xi)很大(da)。進(jin)行齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)(de)彎(wan)(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞試(shi)驗(yan)，得(de)出試(shi)驗(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)的(de)(de)(de)彎(wan)(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞強度(du)的(de)(de)(de)數據利用(yong)(yong)冶金機(ji)械廠提供的(de)(de)(de)斜齒(chi)(chi)(chi)(chi)輪(lun)(lun)試(shi)件，進(jin)行齒(chi)(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞的(de)(de)(de)試(shi)驗(yan)。試(shi)驗(yan)預采(cai)用(yong)(yong)雙齒(chi)(chi)(chi)(chi)脈動(dong)加載(zai)法(fa)。被(bei)試(shi)齒(chi)(chi)(chi)(chi)輪(lun)(lun)在(zai)所(suo)有試(shi)驗(yan)齒(chi)(chi)(chi)(chi)輪(lun)(lun)中隨機(ji)抽取，并(bing)保證同(tong)一應(ying)力(li)(li)水平(ping)的(de)(de)(de)被(bei)試(shi)齒(chi)(chi)(chi)(chi)來自各個(ge)(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)。在(zai)短壽(shou)命(ming)(ming)區采(cai)用(yong)(yong)四級(ji)恒得(de)出每個(ge)(ge)應(ying)力(li)(li)水平(ping)對應(ying)的(de)(de)(de)48個(ge)(ge)齒(chi)(chi)(chi)(chi)輪(lun)(lun)試(shi)驗(yan)的(de)(de)(de)壽(shou)命(ming)(ming)，以擬合疲(pi)勞曲(qu)(qu)(qu)線(xian)傾斜段方(fang)(fang)(fang)程；在(zai)長壽(shou)命(ming)(ming)區采(cai)用(yong)(yong)應(ying)力(li)(li)升降法(fa)，以確定疲(pi)勞曲(qu)(qu)(qu)線(xian)水平(ping)段方(fang)(fang)(fang)程，從而(er)獲(huo)得(de)完整(zheng)的(de)(de)(de)齒(chi)(chi)(chi)(chi)輪(lun)(lun)彎(wan)(wan)(wan)曲(qu)(qu)(qu)疲(pi)勞曲(qu)(qu)(qu)線(xian)。

試(shi)驗(yan)(yan)因采用(yong)(yong)(yong)(yong)雙齒(chi)(chi)加載試(shi)驗(yan)(yan)，當其中(zhong)(zhong)一個齒(chi)(chi)失效(xiao)（以(yi)輪(lun)(lun)齒(chi)(chi)折斷或輪(lun)(lun)齒(chi)(chi)裂紋擴(kuo)展致使試(shi)驗(yan)(yan)機聲音突(tu)變(bian)時(shi)的(de)應(ying)力循環次數(shu)(shu)為失效(xiao)壽(shou)(shou)命(ming)）時(shi)，試(shi)驗(yan)(yan)就(jiu)停止。對(dui)于(yu)未失效(xiao)齒(chi)(chi)來說，該壽(shou)(shou)命(ming)是(shi)中(zhong)(zhong)止試(shi)驗(yan)(yan)數(shu)(shu)據。這(zhe)樣可(ke)(ke)以(yi)采用(yong)(yong)(yong)(yong)數(shu)(shu)值分(fen)布得(de)出(chu)每次應(ying)力水平Si的(de)失效(xiao)密度(du)函(han)數(shu)(shu)，便于(yu)得(de)出(chu)不同可(ke)(ke)靠度(du)R下(xia)的(de)應(ying)力Si與壽(shou)(shou)命(ming)Ni之間的(de)關(guan)系。為充分(fen)利用(yong)(yong)(yong)(yong)試(shi)驗(yan)(yan)信(xin)息，數(shu)(shu)據處(chu)理(li)中(zhong)(zhong)采用(yong)(yong)(yong)(yong)了平均順序(xu)法進行(xing)(xing)壽(shou)(shou)命(ming)分(fen)布檢驗(yan)(yan)。應(ying)用(yong)(yong)(yong)(yong)MATLAB軟(ruan)件對(dui)試(shi)驗(yan)(yan)數(shu)(shu)據進行(xing)(xing)分(fen)析MATLAB是(shi)一種科(ke)學(xue)計(ji)算軟(ruan)件，專門以(yi)矩陣的(de)形(xing)式(shi)處(chu)理(li)數(shu)(shu)據。利用(yong)(yong)(yong)(yong)MATLAB軟(ruan)件，對(dui)試(shi)驗(yan)(yan)數(shu)(shu)據進行(xing)(xing)分(fen)析。MATLAB的(de)語言特點MATLAB是(shi)美國MathWorks公司開發的(de)大(da)型數(shu)(shu)學(xue)計(ji)算應(ying)用(yong)(yong)(yong)(yong)軟(ruan)件系統，它(ta)提供了強(qiang)大(da)的(de)矩陣處(chu)理(li)和繪圖(tu)功能，簡單易用(yong)(yong)(yong)(yong)，可(ke)(ke)信(xin)度(du)高，靈活性好，因而(er)在世界(jie)范圍內被科(ke)學(xue)工(gong)作者、工(gong)程(cheng)(cheng)師(shi)以(yi)及大(da)學(xue)生和研(yan)究生廣泛使用(yong)(yong)(yong)(yong)，目前已(yi)經(jing)成(cheng)為國際市場上科(ke)學(xue)研(yan)究和工(gong)程(cheng)(cheng)應(ying)用(yong)(yong)(yong)(yong)方面的(de)主導(dao)軟(ruan)件。掌握MATLAB并借助它(ta)解(jie)決(jue)理(li)論與應(ying)用(yong)(yong)(yong)(yong)問題已(yi)經(jing)成(cheng)為每一個從事(shi)科(ke)學(xue)研(yan)究和工(gong)程(cheng)(cheng)技術人員(yuan)應(ying)該具備的(de)技能。MATLAB給(gei)用(yong)(yong)(yong)(yong)戶(hu)帶來的(de)是(shi)最(zui)直觀，最(zui)簡潔的(de)程(cheng)(cheng)序(xu)開發環境。

MATLAB系統的(de)(de)(de)基本(ben)函數(shu)(shu)(shu)庫具有(you)(you)初等(deng)函數(shu)(shu)(shu)、初等(deng)矩(ju)(ju)陣和(he)矩(ju)(ju)陣變(bian)換，包(bao)括線(xian)性(xing)代數(shu)(shu)(shu)方(fang)程組和(he)矩(ju)(ju)陣特征值問題等(deng)數(shu)(shu)(shu)值線(xian)性(xing)代數(shu)(shu)(shu)、多(duo)項(xiang)式運(yun)算和(he)求根、數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)和(he)傅立(li)葉變(bian)換以(yi)(yi)及(ji)某些(xie)特殊的(de)(de)(de)矩(ju)(ju)陣函數(shu)(shu)(shu)和(he)數(shu)(shu)(shu)學(xue)函數(shu)(shu)(shu)等(deng)眾多(duo)內容。另外，MATLAB具有(you)(you)二(er)(er)維(wei)、三(san)維(wei)曲線(xian)和(he)三(san)維(wei)曲面繪圖功(gong)(gong)能(neng)(neng)，使用(yong)(yong)方(fang)法(fa)(fa)(fa)十分(fen)(fen)方(fang)便(bian)。應用(yong)(yong)MATLAB軟件分(fen)(fen)析(xi)(xi)(xi)(xi)試驗(yan)數(shu)(shu)(shu)據(ju)(ju)(ju)MATLAB提(ti)供了(le)完整的(de)(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)與(yu)可(ke)視(shi)化(hua)能(neng)(neng)力，通(tong)過工具箱直接(jie)將(jiang)數(shu)(shu)(shu)據(ju)(ju)(ju)導(dao)入到(dao)MATLAB的(de)(de)(de)工作空間(jian)，利(li)用(yong)(yong)MATLAB的(de)(de)(de)強(qiang)大(da)靈(ling)活(huo)的(de)(de)(de)手段進行快速而(er)又準確的(de)(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)。這包(bao)括使用(yong)(yong)MATLAB提(ti)供的(de)(de)(de)高級數(shu)(shu)(shu)學(xue)和(he)可(ke)視(shi)化(hua)分(fen)(fen)析(xi)(xi)(xi)(xi)能(neng)(neng)力，在數(shu)(shu)(shu)據(ju)(ju)(ju)采集過程中(zhong)(zhong)或(huo)者(zhe)采集完畢后(hou)，進行數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)分(fen)(fen)析(xi)(xi)(xi)(xi)以(yi)(yi)及(ji)可(ke)視(shi)化(hua)工作。利(li)用(yong)(yong)MATLAB軟件的(de)(de)(de)強(qiang)大(da)功(gong)(gong)能(neng)(neng)，對試驗(yan)得(de)出的(de)(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)進行分(fen)(fen)析(xi)(xi)(xi)(xi)，主要(yao)分(fen)(fen)析(xi)(xi)(xi)(xi)方(fang)法(fa)(fa)(fa)有(you)(you)對數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)、對數(shu)(shu)(shu)正態分(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)、兩參(can)數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)、三(san)參(can)數(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)，并將(jiang)這些(xie)分(fen)(fen)析(xi)(xi)(xi)(xi)法(fa)(fa)(fa)分(fen)(fen)析(xi)(xi)(xi)(xi)得(de)到(dao)的(de)(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)在MATLAB中(zhong)(zhong)利(li)用(yong)(yong)它的(de)(de)(de)繪圖功(gong)(gong)能(neng)(neng)在雙對數(shu)(shu)(shu)坐標下進行最(zui)小(xiao)二(er)(er)乘法(fa)(fa)(fa)的(de)(de)(de)線(xian)性(xing)擬合，得(de)到(dao)不同(tong)可(ke)靠度、不同(tong)置信度下的(de)(de)(de)R-S-N疲勞曲線(xian)。其(qi)中(zhong)(zhong)，因為MATLAB提(ti)供了(le)大(da)量的(de)(de)(de)內置函數(shu)(shu)(shu)，從而(er)使試驗(yan)數(shu)(shu)(shu)據(ju)(ju)(ju)的(de)(de)(de)分(fen)(fen)析(xi)(xi)(xi)(xi)更方(fang)便(bian)、更準確。

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