混流泵葉輪制造問題的幾何處理
混流泵是(shi)動(dong)量(liang)(liang)矩泵的(de)(de)(de)(de)一(yi)種,其特點是(shi)流量(liang)(liang)范圍大而(er)揚程(cheng)較(jiao)低(20m以下)。葉輪(lun)(lun)是(shi)混流泵的(de)(de)(de)(de)關(guan)鍵(jian)(jian)部件,如(ru)圖(tu)1,在葉輪(lun)(lun)的(de)(de)(de)(de)大批量(liang)(liang)生產中(zhong),鑄造法(fa)(fa)對母(mu)輪(lun)(lun)的(de)(de)(de)(de)質量(liang)(liang)、型面(mian)(mian)(mian)(mian)的(de)(de)(de)(de)幾(ji)何形狀提(ti)出了很高的(de)(de)(de)(de)要求,其葉片的(de)(de)(de)(de)出口邊(bian)一(yi)般都做成傾斜(xie)的(de)(de)(de)(de)。如(ru)何加工出合乎要求的(de)(de)(de)(de)母(mu)輪(lun)(lun)成為(wei)(wei)生產中(zhong)的(de)(de)(de)(de)關(guan)鍵(jian)(jian)。1斜(xie)等(deng)(deng)(deng)距(ju)曲(qu)面(mian)(mian)(mian)(mian)及其相(xiang)關(guan)公(gong)(gong)式定(ding)義已知直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)∑,在到直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)∑上(shang)(shang)與所有直(zhi)(zhi)(zhi)母(mu)線(xian)圖(tu)2斜(xie)等(deng)(deng)(deng)距(ju)曲(qu)面(mian)(mian)(mian)(mian)均(jun)相(xiang)交的(de)(de)(de)(de)定(ding)曲(qu)線(xian)距(ju)離(li)為(wei)(wei)定(ding)值(zhi)h的(de)(de)(de)(de)曲(qu)線(xian)上(shang)(shang)每一(yi)點P取直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)的(de)(de)(de)(de)法(fa)(fa)向線(xian)段PP-,使之(zhi)等(deng)(deng)(deng)于定(ding)長γ,且(qie)γ隨h滿足(zu)線(xian)性關(guan)系(xi),則(ze)稱P-形成的(de)(de)(de)(de)曲(qu)面(mian)(mian)(mian)(mian)∑-為(wei)(wei)直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)∑的(de)(de)(de)(de)斜(xie)等(deng)(deng)(deng)距(ju)曲(qu)面(mian)(mian)(mian)(mian)。下面(mian)(mian)(mian)(mian)我們來推導相(xiang)關(guan)公(gong)(gong)式,如(ru)圖(tu)2,設直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)∑上(shang)(shang)定(ding)曲(qu)線(xian)的(de)(de)(de)(de)方(fang)(fang)程(cheng)為(wei)(wei)ρ→=ρ→(u)則(ze)該直(zhi)(zhi)(zhi)紋面(mian)(mian)(mian)(mian)的(de)(de)(de)(de)向量(liang)(liang)方(fang)(fang)程(cheng)為(wei)(wei)γ→(uk)=ρ→(u)+hτ→(u)(1)由定(ding)義,法(fa)(fa)向距(ju)離(li)γ滿足(zu)γ=htgα+γ0(2)上(shang)(shang)述兩(liang)式中(zhong)τ→(u)為(wei)(wei)直(zhi)(zhi)(zhi)母(mu)線(xian)的(de)(de)(de)(de)單位方(fang)(fang)向向量(liang)(liang),tgα為(wei)(wei)線(xian)性關(guan)系(xi)對應(ying)值(zhi),γ0為(wei)(wei)h=0時,即P在圖(tu)1葉輪(lun)(lun)示意(yi)圖(tu)定(ding)曲(qu)線(xian)ρ→(u)上(shang)(shang)時,∑上(shang)(shang)對應(ying)點之(zhi)間的(de)(de)(de)(de)距(ju)離(li)。而(er)曲(qu)面(mian)(mian)(mian)(mian)(1)式的(de)(de)(de)(de)單位法(fa)(fa)向量(liang)(liang)為(wei)(wei)n→(uh)=γ→u×γ→h/|γ→u×γ→h|(3)于是(shi)斜(xie)等(deng)(deng)(deng)距(ju)曲(qu)面(mian)(mian)(mian)(mian)∑-的(de)(de)(de)(de)方(fang)(fang)程(cheng)為(wei)(wei)γ→1(uh)=γ→(uh)+(htgα......
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