軟件對斜(xie)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程中(zhong)，齒(chi)(chi)輪齒(chi)(chi)根的危險(xian)截面承受(shou)彎曲應(ying)(ying)力、壓(ya)應(ying)(ying)力和(he)剪切應(ying)(ying)力，起主導(dao)作，齒(chi)(chi)根受(shou)拉一側(ce)危險(xian)截面處的應(ying)(ying)力應(ying)(ying)為彎曲拉應(ying)(ying)力和(he)殘(can)余壓(ya)應(ying)(ying)力的合(he)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(lun)的(de)工(gong)作壽(shou)(shou)命(ming)與最大彎(wan)(wan)(wan)(wan)曲(qu)(qu)應(ying)力(li)(li)值的(de)n（n6）次(ci)方成反(fan)比，即彎(wan)(wan)(wan)(wan)曲(qu)(qu)應(ying)力(li)(li)略微(wei)減小(xiao)，可使齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)工(gong)作壽(shou)(shou)命(ming)大大延長(chang)。在齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)根(gen)過渡(du)曲(qu)(qu)線(xian)(xian)處(chu)，形(xing)體發生(sheng)突變，將會產(chan)生(sheng)應(ying)力(li)(li)集(ji)中現(xian)象，所以(yi)(yi)漸開(kai)線(xian)(xian)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)最大彎(wan)(wan)(wan)(wan)曲(qu)(qu)應(ying)力(li)(li)總(zong)是發生(sheng)在齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)根(gen)過渡(du)曲(qu)(qu)線(xian)(xian)處(chu)，這(zhe)會直接(jie)影響齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)壽(shou)(shou)命(ming)。最大齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)根(gen)彎(wan)(wan)(wan)(wan)曲(qu)(qu)應(ying)力(li)(li)值與齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)根(gen)過渡(du)曲(qu)(qu)線(xian)(xian)的(de)形(xing)狀(zhuang)及其微(wei)分(fen)性質關系很大。進行齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)彎(wan)(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)(pi)勞(lao)試驗(yan)(yan)，得(de)出試驗(yan)(yan)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)彎(wan)(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)(pi)勞(lao)強度的(de)數據利用(yong)冶(ye)金機械廠提供的(de)斜齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)試件(jian)，進行齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)(pi)勞(lao)的(de)試驗(yan)(yan)。試驗(yan)(yan)預采用(yong)雙齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)脈動(dong)加載法。被試齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)在所有試驗(yan)(yan)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)中隨機抽取，并(bing)保(bao)證(zheng)同一應(ying)力(li)(li)水平的(de)被試齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)來自各個(ge)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)。在短壽(shou)(shou)命(ming)區(qu)采用(yong)四級(ji)恒得(de)出每個(ge)應(ying)力(li)(li)水平對(dui)應(ying)的(de)48個(ge)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)試驗(yan)(yan)的(de)壽(shou)(shou)命(ming)，以(yi)(yi)擬合(he)疲(pi)(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)傾斜段(duan)方程；在長(chang)壽(shou)(shou)命(ming)區(qu)采用(yong)應(ying)力(li)(li)升降法，以(yi)(yi)確定疲(pi)(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)水平段(duan)方程，從而獲得(de)完整的(de)齒(chi)(chi)(chi)(chi)(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)(wan)(wan)(wan)曲(qu)(qu)疲(pi)(pi)(pi)勞(lao)曲(qu)(qu)線(xian)(xian)。

試(shi)(shi)驗(yan)(yan)(yan)因采(cai)用(yong)(yong)(yong)(yong)雙齒(chi)(chi)(chi)加(jia)載(zai)試(shi)(shi)驗(yan)(yan)(yan)，當其中一(yi)個(ge)齒(chi)(chi)(chi)失(shi)(shi)(shi)效(xiao)(xiao)（以(yi)(yi)(yi)(yi)輪(lun)齒(chi)(chi)(chi)折斷或(huo)輪(lun)齒(chi)(chi)(chi)裂(lie)紋擴(kuo)展(zhan)致使試(shi)(shi)驗(yan)(yan)(yan)機聲音突變(bian)時(shi)的(de)應(ying)力循(xun)環(huan)次數為(wei)(wei)失(shi)(shi)(shi)效(xiao)(xiao)壽(shou)命(ming)）時(shi)，試(shi)(shi)驗(yan)(yan)(yan)就停(ting)止。對于未失(shi)(shi)(shi)效(xiao)(xiao)齒(chi)(chi)(chi)來說(shuo)，該壽(shou)命(ming)是中止試(shi)(shi)驗(yan)(yan)(yan)數據(ju)(ju)。這樣可(ke)以(yi)(yi)(yi)(yi)采(cai)用(yong)(yong)(yong)(yong)數值分(fen)布得(de)出每次應(ying)力水平Si的(de)失(shi)(shi)(shi)效(xiao)(xiao)密度函數，便于得(de)出不同(tong)可(ke)靠度R下的(de)應(ying)力Si與(yu)壽(shou)命(ming)Ni之間的(de)關系。為(wei)(wei)充分(fen)利(li)用(yong)(yong)(yong)(yong)試(shi)(shi)驗(yan)(yan)(yan)信(xin)(xin)息，數據(ju)(ju)處(chu)(chu)理(li)(li)中采(cai)用(yong)(yong)(yong)(yong)了平均順序法進(jin)(jin)行壽(shou)命(ming)分(fen)布檢驗(yan)(yan)(yan)。應(ying)用(yong)(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)對試(shi)(shi)驗(yan)(yan)(yan)數據(ju)(ju)進(jin)(jin)行分(fen)析(xi)MATLAB是一(yi)種(zhong)科(ke)學(xue)計算軟(ruan)(ruan)件(jian)，專門以(yi)(yi)(yi)(yi)矩(ju)陣的(de)形式處(chu)(chu)理(li)(li)數據(ju)(ju)。利(li)用(yong)(yong)(yong)(yong)MATLAB軟(ruan)(ruan)件(jian)，對試(shi)(shi)驗(yan)(yan)(yan)數據(ju)(ju)進(jin)(jin)行分(fen)析(xi)。MATLAB的(de)語(yu)言特點MATLAB是美國MathWorks公司開發的(de)大型數學(xue)計算應(ying)用(yong)(yong)(yong)(yong)軟(ruan)(ruan)件(jian)系統，它提供了強(qiang)大的(de)矩(ju)陣處(chu)(chu)理(li)(li)和繪(hui)圖功(gong)能(neng)，簡單易用(yong)(yong)(yong)(yong)，可(ke)信(xin)(xin)度高，靈活性好，因而在世(shi)界范(fan)圍內被科(ke)學(xue)工作(zuo)者、工程(cheng)(cheng)師以(yi)(yi)(yi)(yi)及大學(xue)生(sheng)和研究(jiu)(jiu)生(sheng)廣泛使用(yong)(yong)(yong)(yong)，目前已(yi)經成為(wei)(wei)國際市(shi)場上科(ke)學(xue)研究(jiu)(jiu)和工程(cheng)(cheng)應(ying)用(yong)(yong)(yong)(yong)方面(mian)的(de)主導軟(ruan)(ruan)件(jian)。掌(zhang)握(wo)MATLAB并借助它解決理(li)(li)論與(yu)應(ying)用(yong)(yong)(yong)(yong)問題已(yi)經成為(wei)(wei)每一(yi)個(ge)從(cong)事科(ke)學(xue)研究(jiu)(jiu)和工程(cheng)(cheng)技術人員應(ying)該具備的(de)技能(neng)。MATLAB給(gei)用(yong)(yong)(yong)(yong)戶(hu)帶來的(de)是最直觀，最簡潔的(de)程(cheng)(cheng)序開發環(huan)境。

MATLAB系統的(de)(de)(de)基本函(han)數(shu)(shu)(shu)(shu)庫(ku)具有(you)(you)初(chu)等(deng)(deng)函(han)數(shu)(shu)(shu)(shu)、初(chu)等(deng)(deng)矩(ju)陣和(he)(he)矩(ju)陣變換，包括線(xian)性(xing)代數(shu)(shu)(shu)(shu)方(fang)(fang)程組和(he)(he)矩(ju)陣特(te)征(zheng)值問題等(deng)(deng)數(shu)(shu)(shu)(shu)值線(xian)性(xing)代數(shu)(shu)(shu)(shu)、多項式(shi)運算(suan)和(he)(he)求根、數(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)析(xi)和(he)(he)傅(fu)立葉變換以(yi)及某些(xie)特(te)殊的(de)(de)(de)矩(ju)陣函(han)數(shu)(shu)(shu)(shu)和(he)(he)數(shu)(shu)(shu)(shu)學(xue)函(han)數(shu)(shu)(shu)(shu)等(deng)(deng)眾多內(nei)容。另外，MATLAB具有(you)(you)二維、三(san)(san)維曲線(xian)和(he)(he)三(san)(san)維曲面繪(hui)圖功(gong)能(neng)，使用(yong)方(fang)(fang)法(fa)十分(fen)(fen)(fen)(fen)方(fang)(fang)便。應用(yong)MATLAB軟(ruan)件(jian)分(fen)(fen)(fen)(fen)析(xi)試(shi)驗數(shu)(shu)(shu)(shu)據(ju)(ju)MATLAB提(ti)供了(le)完整(zheng)的(de)(de)(de)數(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)析(xi)與可視化(hua)能(neng)力(li)，通過工具箱直接將數(shu)(shu)(shu)(shu)據(ju)(ju)導(dao)入(ru)到MATLAB的(de)(de)(de)工作空間，利用(yong)MATLAB的(de)(de)(de)強(qiang)大靈(ling)活的(de)(de)(de)手段進(jin)行(xing)快(kuai)速而又準確(que)的(de)(de)(de)數(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)析(xi)。這包括使用(yong)MATLAB提(ti)供的(de)(de)(de)高(gao)級數(shu)(shu)(shu)(shu)學(xue)和(he)(he)可視化(hua)分(fen)(fen)(fen)(fen)析(xi)能(neng)力(li)，在(zai)數(shu)(shu)(shu)(shu)據(ju)(ju)采集(ji)過程中(zhong)或(huo)者采集(ji)完畢(bi)后，進(jin)行(xing)數(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)(fen)(fen)析(xi)分(fen)(fen)(fen)(fen)析(xi)以(yi)及可視化(hua)工作。利用(yong)MATLAB軟(ruan)件(jian)的(de)(de)(de)強(qiang)大功(gong)能(neng)，對試(shi)驗得(de)(de)出的(de)(de)(de)數(shu)(shu)(shu)(shu)據(ju)(ju)進(jin)行(xing)分(fen)(fen)(fen)(fen)析(xi)，主(zhu)要分(fen)(fen)(fen)(fen)析(xi)方(fang)(fang)法(fa)有(you)(you)對數(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)析(xi)法(fa)、對數(shu)(shu)(shu)(shu)正態分(fen)(fen)(fen)(fen)析(xi)法(fa)、兩參數(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)析(xi)法(fa)、三(san)(san)參數(shu)(shu)(shu)(shu)分(fen)(fen)(fen)(fen)析(xi)法(fa)，并將這些(xie)分(fen)(fen)(fen)(fen)析(xi)法(fa)分(fen)(fen)(fen)(fen)析(xi)得(de)(de)到的(de)(de)(de)數(shu)(shu)(shu)(shu)據(ju)(ju)在(zai)MATLAB中(zhong)利用(yong)它(ta)的(de)(de)(de)繪(hui)圖功(gong)能(neng)在(zai)雙對數(shu)(shu)(shu)(shu)坐(zuo)標下進(jin)行(xing)最小二乘法(fa)的(de)(de)(de)線(xian)性(xing)擬合，得(de)(de)到不(bu)(bu)同(tong)可靠度、不(bu)(bu)同(tong)置(zhi)信度下的(de)(de)(de)R-S-N疲勞(lao)曲線(xian)。其中(zhong)，因為MATLAB提(ti)供了(le)大量的(de)(de)(de)內(nei)置(zhi)函(han)數(shu)(shu)(shu)(shu)，從而使試(shi)驗數(shu)(shu)(shu)(shu)據(ju)(ju)的(de)(de)(de)分(fen)(fen)(fen)(fen)析(xi)更方(fang)(fang)便、更準確(que)。

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