3D跨度走势图

行业问题解决
行业问题解决

同步带传动张紧轮位置估算

2019-03-25 20:26:25 kdst 41

下图显示了张紧轮位于同步带外侧的一种应用情况。首先列写此时带的理论长度,用到的只是初中几何的知识,只不过加在一起比较繁琐。设大的同步带轮节圆半径为br,小同步带轮节圆半径为lr,张紧惰轮半径为ir,两同步带轮安装中心距为a,张紧轮到大同步带轮中心距离在两同步带轮中心连线方向上的投影为x,张紧轮中心到两同步带轮中心连线的垂直距离为y。同步带传动

3D跨度走势图RUTU,YOUZHONGXINXIANHEGEQIEDIANJIANGTONGBUDAIFENWEI8FEN,GENJUYISHANGYIZHICANSHUHEYUANDENEIWAIGONGQIEXIANZHISHIFENBIEQIUGEDUANDEZHANGDUL1~L8,ZAIQIUHEDETONGBUDAIZONGZHANGTL.WEIPEIHEHOUMIANSHIYONG,XIEZAIMatlabZIDINGYIHANSHUDLcalZHONG,RUXIA:

[DLcal.m]

function DL = DLcal(y)global br lr ir a x IL
L1 = (pi/2 + asin((br-lr)/a))*br;L2 = sqrt(a^2 -(br-lr)^2);L3 = (pi/2 - asin((br-lr)/a))*lr;L4 = (pi/2 + asin((lr+ir)/sqrt((a-x)^2+y^2)) - atan(y/(a-x)))*lr;L5 = sqrt((a-x)^2 + y^2 - (lr+ir)^2);L6 = (asin((br+ir)/sqrt(x^2+y^2))-atan(y/x)+asin((lr+ir)/sqrt((a-x)^2+y^2))-atan(y/(a-x)))*ir;L7 = sqrt(x^2 + y^2 - (br+ir)^2);L8 = (pi/2 + asin((br+ir)/sqrt(x^2+y^2)) - atan(y/x)) * br;TL = L1+L2+L3+L4+L5+L6+L7+L8;DL = TL - IL;

YIBANbr,lr,ir,aCANSHUGENJUSHIJIQINGKUANGXUANQU,SHIJIYONGDETONGBUDAIZHANGILYESHIYIXILIELISANDEBIAOZHUNZHI,ZHEISHIRUJIDINGx,JIKEGENJUSHANGMIANDETLGONGSHIFANQIUCHUy,CONGERDEDAOZHANGJINLUNDELILUNWEIZHI。yDEZHIKEYILIYONGMatlabDEfsolveHANSHUQIUDESHUZHIJIE,DANGTL=IL,JIDL=0SHIJIUKEDEDAOy。YOUYUyCONG0BIANHUADAOLILUNZHIDEGUOCHENGZHONGTLSHIDANDIAODIJIANDE,yDECHUZHIKEQUWEI0.

3D跨度走势图XIAMIANJUYIGELIZI。JIASHEYAOSHIYONGS2MXINGDEGAONIUJUTONGBUCHIXINGDAI(CHIJU2mm),DAXIAOLUNCHISHUBIWEI60:30,ZAIMiSUMiDEWANGZHANSHANGXUANZETONGBUCHIXINGDAI,PIDAIGONGCHENGKUANDUQUZHONGJIANZHI6mm,CHISHUXUANZE280,JITONGBUDAIJIEXIANZHANGWEI560mm,ZAIXUANZEXIAODAILUNCHISHU30JIDADAILUNCHISHU60HOU,WANGYESHANGHUIZIDONGSUANCHULILUNZHONGXINJU234.81mm。RUOSHIJIANZHUANGZHONGXINJUQU234mm,ZEXUTIANJIADUOLUNJINXINGZHANGJIN。XUANZEBEIMIANZHANGJINXINGDUOLUN,ZAIMiSUMiDEMULUYEMIANKEYIKANDAODANGPIDAIKUANDUWEI6mmSHI,ZHONGXINZHOUCHENGXINGDUOLUNZHIJINGWEI25mm。ZAIQUx=200mm,JIKELIYONGMatlabQIUCHULILUNyZHI。CHENGXURUXIA:

3D跨度走势图[example.m]

global br lr ir a x IL
br = 60/pi;lr = 30/pi;ir = 25/2;a = 234;x = 200;IL = 560;y = fsolve(@DLcal,0)figure(1);clf;hold on;axis equal
line([br*(br-lr)/a,a+lr*(br-lr)/a],[-br*sqrt(a^2-(br-lr)^2)/a,-lr*sqrt(a^2-(br-lr)^2)/a])Ltheta = asin((br+ir)/sqrt(x^2+y^2))-atan(y/x);line([br*sin(Ltheta),x-ir*sin(Ltheta)],[br*cos(Ltheta),y-ir*cos(Ltheta)])Rtheta = asin((lr+ir)/sqrt((a-x)^2+y^2))-atan(y/(a-x));line([a-lr*sin(Rtheta),x+ir*sin(Rtheta)],[lr*cos(Rtheta),y-ir*cos(Rtheta)]);circle(0,0,br);circle(a,0,lr);circle(x,y,ir);

3D跨度走势图CHENGXUQIANBANBUFENSUANCHUy,Command WindowZHONGSHUCHUJIEGUOWEIy=13.8913mm.HOUBANBUFENHUITUYIBIANZHIGUANGUANCHA。

外侧张紧

HUITUZHONGYONGDAODEHUAYUANDEcircleHANSHURUXIA:

[circle.m]

function circle(x0,y0,r)alpha=0:0.01:2*pi;x=x0+r*cos(alpha);y=y0+r*sin(alpha);figure(1);plot(x,y,'r','LineWidth',1)

SHIJIZHANGJINLUNWEIZHIDIAOZHENGZHUANGZHIKEYIYILILUNyZHIWEICANKAOJINXINGSHEJI,BINGYULIUXIANGSHANGDEANZHUANGDIAOZHENGLIANGHEXIANGXIADEZHANGJINDIAOZHENGLIANG。JIXIESHEJISHOUCETONGBUDAICHUANDONGZHONGXINJUDIAOZHENGFANWEIZHONGTUIJIANJIEXIANZHANGLp≤1000DEYUANHUCHICHUANDONGWAICEDIAOZHENGLIANGWEI0.76mm(ZHONGXINJUZENGJIALIANG),YIa=234.81+0.76,JISUAN2*(L1+L2+L3)=561.5272,JIXIANGDANGYUYAOSHITONGBUDAISHENZHANGWEIZHEIMEDUO。JIANGexample.mZHONGILGAIWEI561.5272,ZAIYUNXINGYIBIAN,DEDAOy=10.1698,JIyDEXIANGXIADIAOZHENGLIANGZHISHAOYAOWEI(13.8913-10.1698)mm.

LINGWAIJIANGexample.mZHONGDEDUOLUNBANJINGTIANJIAFUHAO,YEKEDEDAOZHANGJINLUNWEIYUDAINEICEDEQINGKUANG。RUXIATU:

内侧张紧

ZHANGLIDIAOZHENGZHUANGZHICANKAO:

ZHANGLIDIAOZHENGQI

ZHANGLIDUOLUNYONGXUANBEIXIAO



标签:   同步带传动张紧轮位置估算