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程中，齒輪齒根的危險截面承受彎曲應力、壓應力和剪切應力，起主導作，齒根受拉一側危險截面處的應力應為彎曲拉應力和殘余壓應力的合成。

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(chi)輪的工作壽命與最大彎曲應力值的n（n6）次方成反比，即彎曲應力略微減小，可使齒輪的工作壽命大大延長。在齒根過渡曲線處，形體發生突變，將會產生應力集中現象，所以漸開線齒輪的最大彎曲應力總是發生在齒根過渡曲線處，這會直接影響齒輪壽命。最大齒根彎曲應力值與齒根過渡曲線的形狀及其微分性質關系很大。進行齒輪的彎曲疲勞試驗，得出試驗齒輪的彎曲疲勞強度的數據利用冶金機械廠提供的斜齒輪試件，進行齒輪彎曲疲勞的試驗。試驗預采用雙齒脈動加載法。被試齒輪在所有試驗齒輪中隨機抽取，并保證同一應力水平的被試齒來自各個齒輪。在短壽命區采用四級恒得出每個應力水平對應的48個齒輪試驗的壽命，以擬合疲勞曲線傾斜段方程；在長壽命區采用應力升降法，以確定疲勞曲線水平段方程，從而獲得完整的齒輪彎曲疲勞曲線。

試(shi)(shi)驗(yan)(yan)因(yin)采用(yong)(yong)(yong)雙齒(chi)加載試(shi)(shi)驗(yan)(yan)，當其中一個齒(chi)失(shi)效（以(yi)(yi)輪(lun)齒(chi)折斷或輪(lun)齒(chi)裂紋擴展致使試(shi)(shi)驗(yan)(yan)機聲音突變時的(de)(de)(de)(de)應(ying)(ying)(ying)力循環次(ci)數(shu)為(wei)失(shi)效壽(shou)命）時，試(shi)(shi)驗(yan)(yan)就停止(zhi)。對于未(wei)失(shi)效齒(chi)來說，該壽(shou)命是中止(zhi)試(shi)(shi)驗(yan)(yan)數(shu)據。這樣(yang)可(ke)以(yi)(yi)采用(yong)(yong)(yong)數(shu)值分(fen)布得(de)出每次(ci)應(ying)(ying)(ying)力水平(ping)Si的(de)(de)(de)(de)失(shi)效密度函數(shu)，便于得(de)出不同可(ke)靠度R下的(de)(de)(de)(de)應(ying)(ying)(ying)力Si與壽(shou)命Ni之間的(de)(de)(de)(de)關系。為(wei)充(chong)分(fen)利用(yong)(yong)(yong)試(shi)(shi)驗(yan)(yan)信息，數(shu)據處理中采用(yong)(yong)(yong)了(le)平(ping)均順序法進(jin)行(xing)壽(shou)命分(fen)布檢驗(yan)(yan)。應(ying)(ying)(ying)用(yong)(yong)(yong)MATLAB軟(ruan)件(jian)(jian)對試(shi)(shi)驗(yan)(yan)數(shu)據進(jin)行(xing)分(fen)析MATLAB是一種科學(xue)計算軟(ruan)件(jian)(jian)，專門以(yi)(yi)矩陣的(de)(de)(de)(de)形式處理數(shu)據。利用(yong)(yong)(yong)MATLAB軟(ruan)件(jian)(jian)，對試(shi)(shi)驗(yan)(yan)數(shu)據進(jin)行(xing)分(fen)析。MATLAB的(de)(de)(de)(de)語言特點(dian)MATLAB是美國MathWorks公司(si)開發的(de)(de)(de)(de)大(da)型數(shu)學(xue)計算應(ying)(ying)(ying)用(yong)(yong)(yong)軟(ruan)件(jian)(jian)系統(tong)，它提供(gong)了(le)強大(da)的(de)(de)(de)(de)矩陣處理和繪圖(tu)功能，簡單(dan)易用(yong)(yong)(yong)，可(ke)信度高，靈活(huo)性好(hao)，因(yin)而在(zai)世界范(fan)圍內被科學(xue)工作者、工程師以(yi)(yi)及大(da)學(xue)生(sheng)和研究生(sheng)廣泛使用(yong)(yong)(yong)，目前已經(jing)成為(wei)國際市場上科學(xue)研究和工程應(ying)(ying)(ying)用(yong)(yong)(yong)方面(mian)的(de)(de)(de)(de)主導軟(ruan)件(jian)(jian)。掌握(wo)MATLAB并借助它解決理論與應(ying)(ying)(ying)用(yong)(yong)(yong)問(wen)題已經(jing)成為(wei)每一個從事(shi)科學(xue)研究和工程技(ji)術(shu)人員(yuan)應(ying)(ying)(ying)該具(ju)備的(de)(de)(de)(de)技(ji)能。MATLAB給用(yong)(yong)(yong)戶(hu)帶來的(de)(de)(de)(de)是最直觀，最簡潔的(de)(de)(de)(de)程序開發環境。

MATLAB系(xi)統的(de)基本函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)庫具有(you)初等函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)、初等矩(ju)(ju)陣(zhen)和(he)矩(ju)(ju)陣(zhen)變(bian)換，包括線性(xing)代(dai)(dai)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)方(fang)(fang)程(cheng)(cheng)組和(he)矩(ju)(ju)陣(zhen)特征值問(wen)題等數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)值線性(xing)代(dai)(dai)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)、多項(xiang)式運算和(he)求根、數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)和(he)傅立葉變(bian)換以及(ji)某些特殊的(de)矩(ju)(ju)陣(zhen)函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)和(he)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)學函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)等眾(zhong)多內容。另(ling)外，MATLAB具有(you)二(er)維、三(san)維曲(qu)線和(he)三(san)維曲(qu)面繪圖(tu)功(gong)能，使(shi)用(yong)(yong)方(fang)(fang)法(fa)(fa)十(shi)分(fen)(fen)方(fang)(fang)便(bian)。應(ying)用(yong)(yong)MATLAB軟件分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)試(shi)驗(yan)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)MATLAB提供(gong)(gong)了(le)完(wan)整的(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)與可視化能力，通過工具箱直接將(jiang)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)導(dao)入(ru)到(dao)MATLAB的(de)工作(zuo)(zuo)空間，利用(yong)(yong)MATLAB的(de)強大靈活的(de)手(shou)段進(jin)(jin)行(xing)快速而(er)又準(zhun)確(que)的(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)。這包括使(shi)用(yong)(yong)MATLAB提供(gong)(gong)的(de)高(gao)級數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)學和(he)可視化分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)能力，在(zai)(zai)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)采(cai)集過程(cheng)(cheng)中(zhong)或(huo)者采(cai)集完(wan)畢后(hou)，進(jin)(jin)行(xing)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)以及(ji)可視化工作(zuo)(zuo)。利用(yong)(yong)MATLAB軟件的(de)強大功(gong)能，對(dui)(dui)試(shi)驗(yan)得出的(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)進(jin)(jin)行(xing)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)，主要分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)方(fang)(fang)法(fa)(fa)有(you)對(dui)(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、對(dui)(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)正態分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、兩參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、三(san)參數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)，并將(jiang)這些分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)法(fa)(fa)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)得到(dao)的(de)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)在(zai)(zai)MATLAB中(zhong)利用(yong)(yong)它的(de)繪圖(tu)功(gong)能在(zai)(zai)雙對(dui)(dui)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)坐標(biao)下進(jin)(jin)行(xing)最小二(er)乘法(fa)(fa)的(de)線性(xing)擬合，得到(dao)不同(tong)可靠度、不同(tong)置(zhi)信度下的(de)R-S-N疲勞曲(qu)線。其(qi)中(zhong)，因為MATLAB提供(gong)(gong)了(le)大量的(de)內置(zhi)函(han)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)，從而(er)使(shi)試(shi)驗(yan)數(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)(shu)據(ju)(ju)的(de)分(fen)(fen)析(xi)(xi)(xi)(xi)(xi)更方(fang)(fang)便(bian)、更準(zhun)確(que)。

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