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(zhong)，齒(chi)輪齒(chi)根(gen)的危險(xian)截面(mian)承受彎曲應(ying)(ying)力(li)、壓應(ying)(ying)力(li)和(he)剪切應(ying)(ying)力(li)，起主導(dao)作(zuo)，齒(chi)根(gen)受拉一側危險(xian)截面(mian)處的應(ying)(ying)力(li)應(ying)(ying)為彎曲拉應(ying)(ying)力(li)和(he)殘(can)余壓應(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(chi)輪的(de)(de)工(gong)(gong)作壽(shou)(shou)命(ming)與最大(da)彎(wan)曲(qu)(qu)(qu)應(ying)力(li)值(zhi)的(de)(de)n（n6）次方(fang)成反比，即彎(wan)曲(qu)(qu)(qu)應(ying)力(li)略微(wei)減(jian)小，可使齒(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)工(gong)(gong)作壽(shou)(shou)命(ming)大(da)大(da)延(yan)長。在(zai)(zai)齒(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)(xian)處，形(xing)體(ti)發生突變，將會產生應(ying)力(li)集(ji)中現象(xiang)，所(suo)以漸開線(xian)(xian)齒(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)最大(da)彎(wan)曲(qu)(qu)(qu)應(ying)力(li)總是發生在(zai)(zai)齒(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)(xian)處，這(zhe)會直接影響齒(chi)(chi)(chi)輪(lun)(lun)(lun)壽(shou)(shou)命(ming)。最大(da)齒(chi)(chi)(chi)根彎(wan)曲(qu)(qu)(qu)應(ying)力(li)值(zhi)與齒(chi)(chi)(chi)根過(guo)渡曲(qu)(qu)(qu)線(xian)(xian)的(de)(de)形(xing)狀及其微(wei)分性質關系很大(da)。進行(xing)齒(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)彎(wan)曲(qu)(qu)(qu)疲(pi)(pi)勞(lao)試(shi)(shi)驗(yan)，得出(chu)試(shi)(shi)驗(yan)齒(chi)(chi)(chi)輪(lun)(lun)(lun)的(de)(de)彎(wan)曲(qu)(qu)(qu)疲(pi)(pi)勞(lao)強度的(de)(de)數據利(li)用(yong)冶金機(ji)械(xie)廠提供的(de)(de)斜齒(chi)(chi)(chi)輪(lun)(lun)(lun)試(shi)(shi)件(jian)，進行(xing)齒(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)曲(qu)(qu)(qu)疲(pi)(pi)勞(lao)的(de)(de)試(shi)(shi)驗(yan)。試(shi)(shi)驗(yan)預采(cai)用(yong)雙齒(chi)(chi)(chi)脈(mo)動加載法(fa)。被試(shi)(shi)齒(chi)(chi)(chi)輪(lun)(lun)(lun)在(zai)(zai)所(suo)有試(shi)(shi)驗(yan)齒(chi)(chi)(chi)輪(lun)(lun)(lun)中隨機(ji)抽取(qu)，并保(bao)證同一應(ying)力(li)水(shui)平(ping)的(de)(de)被試(shi)(shi)齒(chi)(chi)(chi)來自各個齒(chi)(chi)(chi)輪(lun)(lun)(lun)。在(zai)(zai)短(duan)壽(shou)(shou)命(ming)區采(cai)用(yong)四級恒得出(chu)每個應(ying)力(li)水(shui)平(ping)對應(ying)的(de)(de)48個齒(chi)(chi)(chi)輪(lun)(lun)(lun)試(shi)(shi)驗(yan)的(de)(de)壽(shou)(shou)命(ming)，以擬合疲(pi)(pi)勞(lao)曲(qu)(qu)(qu)線(xian)(xian)傾斜段方(fang)程；在(zai)(zai)長壽(shou)(shou)命(ming)區采(cai)用(yong)應(ying)力(li)升降法(fa)，以確定疲(pi)(pi)勞(lao)曲(qu)(qu)(qu)線(xian)(xian)水(shui)平(ping)段方(fang)程，從而獲得完(wan)整的(de)(de)齒(chi)(chi)(chi)輪(lun)(lun)(lun)彎(wan)曲(qu)(qu)(qu)疲(pi)(pi)勞(lao)曲(qu)(qu)(qu)線(xian)(xian)。

試(shi)驗(yan)因采(cai)用(yong)(yong)(yong)(yong)雙齒加載試(shi)驗(yan)，當其中(zhong)一個(ge)齒失(shi)效(xiao)(xiao)（以輪(lun)齒折斷或輪(lun)齒裂紋擴展致使(shi)試(shi)驗(yan)機聲音(yin)突變(bian)時的(de)(de)(de)應(ying)(ying)力循環次(ci)(ci)數(shu)(shu)為(wei)失(shi)效(xiao)(xiao)壽(shou)命）時，試(shi)驗(yan)就停(ting)止。對于(yu)未(wei)失(shi)效(xiao)(xiao)齒來說，該(gai)壽(shou)命是(shi)中(zhong)止試(shi)驗(yan)數(shu)(shu)據(ju)。這樣(yang)可以采(cai)用(yong)(yong)(yong)(yong)數(shu)(shu)值分(fen)布得出每(mei)(mei)次(ci)(ci)應(ying)(ying)力水(shui)平(ping)Si的(de)(de)(de)失(shi)效(xiao)(xiao)密度函數(shu)(shu)，便于(yu)得出不同(tong)可靠度R下的(de)(de)(de)應(ying)(ying)力Si與壽(shou)命Ni之間(jian)的(de)(de)(de)關(guan)系(xi)。為(wei)充分(fen)利用(yong)(yong)(yong)(yong)試(shi)驗(yan)信息，數(shu)(shu)據(ju)處理中(zhong)采(cai)用(yong)(yong)(yong)(yong)了平(ping)均順序(xu)法進(jin)行壽(shou)命分(fen)布檢驗(yan)。應(ying)(ying)用(yong)(yong)(yong)(yong)MATLAB軟(ruan)件(jian)(jian)對試(shi)驗(yan)數(shu)(shu)據(ju)進(jin)行分(fen)析MATLAB是(shi)一種科(ke)學(xue)(xue)計算軟(ruan)件(jian)(jian)，專(zhuan)門以矩陣(zhen)的(de)(de)(de)形式處理數(shu)(shu)據(ju)。利用(yong)(yong)(yong)(yong)MATLAB軟(ruan)件(jian)(jian)，對試(shi)驗(yan)數(shu)(shu)據(ju)進(jin)行分(fen)析。MATLAB的(de)(de)(de)語言特點MATLAB是(shi)美國MathWorks公司(si)開(kai)發的(de)(de)(de)大(da)型(xing)數(shu)(shu)學(xue)(xue)計算應(ying)(ying)用(yong)(yong)(yong)(yong)軟(ruan)件(jian)(jian)系(xi)統，它提供了強大(da)的(de)(de)(de)矩陣(zhen)處理和(he)繪圖功能，簡單易用(yong)(yong)(yong)(yong)，可信度高，靈活性(xing)好(hao)，因而在世界(jie)范(fan)圍(wei)內被(bei)科(ke)學(xue)(xue)工(gong)作(zuo)者(zhe)、工(gong)程師(shi)以及大(da)學(xue)(xue)生(sheng)和(he)研(yan)究(jiu)生(sheng)廣(guang)泛(fan)使(shi)用(yong)(yong)(yong)(yong)，目前(qian)已經成為(wei)國際(ji)市場上(shang)科(ke)學(xue)(xue)研(yan)究(jiu)和(he)工(gong)程應(ying)(ying)用(yong)(yong)(yong)(yong)方面的(de)(de)(de)主導(dao)軟(ruan)件(jian)(jian)。掌握MATLAB并(bing)借助(zhu)它解決理論(lun)與應(ying)(ying)用(yong)(yong)(yong)(yong)問(wen)題(ti)已經成為(wei)每(mei)(mei)一個(ge)從事(shi)科(ke)學(xue)(xue)研(yan)究(jiu)和(he)工(gong)程技(ji)術人員應(ying)(ying)該(gai)具備(bei)的(de)(de)(de)技(ji)能。MATLAB給用(yong)(yong)(yong)(yong)戶帶(dai)來的(de)(de)(de)是(shi)最(zui)直(zhi)觀，最(zui)簡潔的(de)(de)(de)程序(xu)開(kai)發環境。

MATLAB系統(tong)的(de)(de)基本函(han)(han)(han)數(shu)(shu)(shu)庫具有初等函(han)(han)(han)數(shu)(shu)(shu)、初等矩(ju)(ju)陣(zhen)(zhen)和(he)(he)矩(ju)(ju)陣(zhen)(zhen)變換，包括線(xian)性(xing)代數(shu)(shu)(shu)方程(cheng)組和(he)(he)矩(ju)(ju)陣(zhen)(zhen)特征值(zhi)(zhi)問題等數(shu)(shu)(shu)值(zhi)(zhi)線(xian)性(xing)代數(shu)(shu)(shu)、多項式運算(suan)和(he)(he)求根、數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)和(he)(he)傅(fu)立葉變換以及(ji)某些(xie)特殊的(de)(de)矩(ju)(ju)陣(zhen)(zhen)函(han)(han)(han)數(shu)(shu)(shu)和(he)(he)數(shu)(shu)(shu)學(xue)函(han)(han)(han)數(shu)(shu)(shu)等眾(zhong)多內容。另外，MATLAB具有二維、三(san)維曲線(xian)和(he)(he)三(san)維曲面繪圖功能(neng)(neng)(neng)，使(shi)用(yong)方法(fa)(fa)十分(fen)(fen)(fen)方便(bian)。應用(yong)MATLAB軟件分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)試(shi)驗數(shu)(shu)(shu)據(ju)(ju)(ju)MATLAB提(ti)供了完整的(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)與可視(shi)化(hua)能(neng)(neng)(neng)力，通過(guo)工具箱直接(jie)將數(shu)(shu)(shu)據(ju)(ju)(ju)導入到MATLAB的(de)(de)工作(zuo)空間，利用(yong)MATLAB的(de)(de)強大(da)(da)靈活(huo)的(de)(de)手段進行(xing)快(kuai)速(su)而又準確(que)的(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)。這包括使(shi)用(yong)MATLAB提(ti)供的(de)(de)高級數(shu)(shu)(shu)學(xue)和(he)(he)可視(shi)化(hua)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)能(neng)(neng)(neng)力，在(zai)數(shu)(shu)(shu)據(ju)(ju)(ju)采集(ji)(ji)過(guo)程(cheng)中(zhong)或(huo)者采集(ji)(ji)完畢(bi)后(hou)，進行(xing)數(shu)(shu)(shu)據(ju)(ju)(ju)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)以及(ji)可視(shi)化(hua)工作(zuo)。利用(yong)MATLAB軟件的(de)(de)強大(da)(da)功能(neng)(neng)(neng)，對(dui)(dui)(dui)試(shi)驗得(de)出(chu)的(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)進行(xing)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)，主要分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)方法(fa)(fa)有對(dui)(dui)(dui)數(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、對(dui)(dui)(dui)數(shu)(shu)(shu)正態(tai)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、兩參(can)數(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)法(fa)(fa)、三(san)參(can)數(shu)(shu)(shu)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)法(fa)(fa)，并將這些(xie)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)法(fa)(fa)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)得(de)到的(de)(de)數(shu)(shu)(shu)據(ju)(ju)(ju)在(zai)MATLAB中(zhong)利用(yong)它(ta)的(de)(de)繪圖功能(neng)(neng)(neng)在(zai)雙對(dui)(dui)(dui)數(shu)(shu)(shu)坐(zuo)標下(xia)進行(xing)最小二乘法(fa)(fa)的(de)(de)線(xian)性(xing)擬(ni)合，得(de)到不同(tong)可靠度(du)、不同(tong)置信度(du)下(xia)的(de)(de)R-S-N疲勞曲線(xian)。其中(zhong)，因為MATLAB提(ti)供了大(da)(da)量的(de)(de)內置函(han)(han)(han)數(shu)(shu)(shu)，從而使(shi)試(shi)驗數(shu)(shu)(shu)據(ju)(ju)(ju)的(de)(de)分(fen)(fen)(fen)析(xi)(xi)(xi)(xi)(xi)(xi)(xi)更方便(bian)、更準確(que)。

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