机械原理大作业-凸轮作业24题.doc
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Harbin Institute of Technology机械原理大作业二课程名称： 机械原理 设计题目： 凸轮机构设计 院 系： 能源科学与工程学院 班 级： 设 计 者： 学 号： 指导教师： 设计时间： 2013/05/26 1.设计题目如图2-1所示直动从动件盘形凸轮机构，其原始参数见表2-1。从表2-1中选择一组凸轮机构的原始参数（第24小题），据此设计该凸轮机构。图2-1表2-1 凸轮机构原始参数升程（mm）升程运动角（）升程运动规律升程许用压力角（）回程运动角（）回程运动规律回程许用压力角（）远休止角（）近休止角（）120150正弦加速度40100余弦加速度6050602.凸轮推杆升程，回程运动方程及推杆位移，速度，加速度，运动线图（1）推杆升程，回程方程运动方程如下：A.推杆升程方程：B.推杆回程方程：（2）推杆位移，速度，加速度线图如下：A.推杆位移线图 Matlab程序：x1=0:0.001:5*pi/6;y1=144*x1/pi-60*sin(12*x1/5)/pi;x2=5*pi/6:0.001:10*pi/9;y2=120;x3=10*pi/9:0.001:5*pi/3;y3=60+60*cos(9*(x3-10*pi/9)/5);x4=5*pi/3:0.001:2*pi;y4=0;plot(x1,y1,x2,y2,x3,y3,x4,y4);B推杆速度线图 Matlab程序：x1=0:0.001:5*pi/6;y1=156/pi-156*cos(12*x1/5)/pi;x2=5*pi/6:0.001:pi;y2=0;x3=pi:0.001:14*pi/9;y3=-117*sin(1.8*x3-1.8*pi);x4=14*pi/9:0.001:2*pi;y4=0;plot(x1,y1,x2,y2,x3,y3,x4,y4);C推杆加速度线图Matlab程序：x1=0:0.001:5*pi/6;y1=1728*sin(12*x1/5)/(5*pi);x2=5*pi/6:0.001:10*pi/9;y2=0;x3=10*pi/9:0.001:15*pi/9;y3=-972*cos(9*(x3-10*pi/9)/5)/5;x4=15*pi/9:0.001:2*pi;y4=0;plot(x1,y1,x2,y2,x3,y3,x4,y4); 3、凸轮机构的ds/d-s线图，并以此确定凸轮基圆半径和偏距（1）凸轮机构的ds/d-s线图t=0:0.001:5*pi/6; x= 144/pi-144*cos(12*t/5)/pi;y= 144*t/pi-60*sin(12*t/5)/pi;hold onplot(x,y,'-r');t= 5*pi/6:0.01:10*pi/9;x=0;y=120;hold onplot(x,y,'-r');t=10*pi/9:0.001:15*pi/9;x=-108*sin(9*(t-10*pi/9)/5);y=60+60*cos(9*(t-10*pi/9)/5);hold on plot(x,y,'-r');t=15*pi/9:0.01:2*pi;x=0;y=0;hold onplot(x,y,'-r')（2）按许用压力角确定凸轮的基圆半径和偏距a.求升程切点 升程许用压力角1=400求得转角t=1.0287, 进而求得切点坐标（x,y）=（81.6870,35.2516）b.求回程切点 回程许用压力角2=600求得转角t=4.7890，进而求得切点坐标（x,y）=（-77.822,18.3975）c. 确定直线方程推程：y= tan(5*pi/18)*(x-81.6870)+35.2615回程：y=-tan(pi/6)*(x+77.8223)+18.3975d. 绘图确定基圆半径和偏距x=-125:1:150;y= tan(5*pi/18)*(x-81.6870)+35.2615;hold on plot(x,y);x=-125:1:150;y=-tan(pi/6)*(x+77.8223)+18.3975;hold onplot(x,y); x=0:1:150;y=-cot(2*pi/9)*x;hold on plot(x,y);t=0:0.001:5*pi/6; x= 144/pi-144*cos(12*t/5)/pi;y= 144*t/pi-60*sin(12*t/5)/pi;hold onplot(x,y,'-r');t= 5*pi/6:0.01:10*pi/9;x=0;y=120;hold onplot(x,y,'-r');t=10*pi/9:0.001:15*pi/9;x=-108*sin(9*(t-10*pi/9)/5);y=60+60*cos(9*(t-10*pi/9)/5);hold on plot(x,y,'-r');t=15*pi/9:0.01:2*pi;x=0;y=0;hold onplot(x,y,'-r');grid onhold off 如上图所示，在这三条直线所围成的公共许用区域，只要在公共许用区域内选定凸轮轴心O的位置，凸轮基圆半径r0和偏距e就可以确定了。现取轴心位置为x=25， y=-100，则可得到，偏距： e=25基圆半径：4.凸轮理论轮廓线和实际轮廓线及滚子半径确定a. 绘制凸轮理论轮廓线Matlab程序编制：t=0:0.0001:5*pi/6;x=(100+144*t/pi-60*sin(12*t/5)/pi).*cos(t)-25*sin(t);y=(100+144*t/pi-60*sin(12*t/5)/pi).*sin(t)+25*cos(t);hold on plot(x,y);t= 5*pi/6:0.0001:10*pi/9;x=(100+120).*cos(t)- 25*sin(t);y=(100+120).*sin(t)+ 25*cos(t);hold onplot(x,y);t=10*pi/9:0.0001:15*pi/9;x=(100+60+60*cos(9*(t-10*pi/9)/5).*cos(t)- 25*sin(t);y=(100+60+60*cos(9*(t-10*pi/9)/5).*sin(t)+ 25*cos(t);hold onplot(x,y);t= 15*pi/9:0.0001:2*pi;x=(100).*cos(t)- 25*sin(t);y=(100).*sin(t)+ 25*cos(t);hold onplot(x,y);xlabel('x/mm')ylabel('y/mm')title('理论轮廓曲线')b. 在理论廓线上分别绘出基圆与偏距圆Matlab程序编制：t=0:0.0001:5*pi/6;x=(100+144*t/pi-60*sin(12*t/5)/pi).*cos(t)-25*sin(t);y=(100+144*t/pi-60*sin(12*t/5)/pi).*sin(t)+25*cos(t);hold on plot(x,y);t= 5*pi/6:0.0001:10*pi/9;x=(100+120).*cos(t)- 25*sin(t);y=(100+120).*sin(t)+ 25*cos(t);hold onplot(x,y);t=10*pi/9:0.0001:15*pi/9;x=(100+60+60*cos(9*(t-10*pi/9)/5).*cos(t)- 25*sin(t);y=(100+60+60*cos(9*(t-10*pi/9)/5).*sin(t)+ 25*cos(t);hold onplot(x,y);t= 15*pi/9:0.0001:2*pi;x=(100).*cos(t)- 25*sin(t);y=(100).*sin(t)+ 25*cos(t);hold onplot(x,y);t=0:0.001:2*pi;x=103*cos(t);y=103*sin(t);hold onplot(x,y);t=0:0.001:2*pi;x=25*cos(t);y=25*sin(t);hold onplot(x,y)c.确定滚子半径Matlab程序编制：h=120; t0=pi*5/6; t01=pi*5/9;ts=5*pi/18; ts1=pi/3; e=25; s0=100;t=linspace(0,pi*5/6,1000);s=h*(t/t0-sin(2*pi*t/t0)/(2*pi);dx1 =(h/t0-h*cos(2*pi*t/t0).*cos(t)-(s0+s).*sin(t)- e*cos(t);dy1=(h/t0-h*cos(2*pi*t/t0).*sin(t)+(s0+s).*cos(t)- e*sin(t);p=sqrt(dx1.2+dy1.2); hold onplot(t,p);t=linspace(pi*5/6,10*pi/9,1000);s=h;dx2 =- sin(t).*(s + s0) - e*cos(t);dy2 =cos(t).*(s + s0) - e*sin(t);p=sqrt(dx2.2+dy2.2); hold onplot(t,p);t=linspace(10*pi/9,pi*15/9,1000);s=0.5*h*(1+cos(pi*(t-(t0+ts)/t01); dx3 =-0.5*h*pi/(2*t01)*sin(pi/t01)*(t-(t0+ts).*cos(t)- sin(t).*(s + s0) - e*cos(t);dy3 =-0.5*h*pi/(2*t01)*sin(pi/t01)*(t-(t0+ts).*sin(t)+ cos(t).*(s + s0) - e*sin(t);p=sqrt(dx3.2+dy3.2);hold onplot(t,p);t=linspace(pi*15/9,pi*2,1000); s=0; dx4 =- sin(t).*(s + s0) - e*cos(t);dy4 =cos(t).*(s + s0) - e*sin(t); p=sqrt(dx4.2+dy4.2);hold onplot(t,p);hold offtitle('曲率半径','FontSize',20);grid ond.绘制实际轮廓线Matlab程序编制：h=120;t0=pi*5/6; t01=pi*5/9; ts=pi*5/18; ts1=pi/3; e=25; s0=100;rr=10; t=linspace(0,pi*5/6,1000);s=h*(t/t0-sin(2*pi*t/t0)/(2*pi); x1=(s0+s).*cos(t)-e*sin(t); y1=(s0+s).*sin(t)+e*cos(t);dx1 =(h/t0-h*cos(2*pi*t/t0).*cos(t)-(s0+s).*sin(t)- e*cos(t);dy1=(h/t0-h*cos(2*pi*t/t0).*sin(t)+(s0+s).*cos(t)- e*sin(t); X1=x1-rr*dy1./(sqrt(dx1.2+dy1.2);Y1=y1+rr*dx1./(sqrt(dx1.2+dy1.2);hold onplot(x1,y1);plot(X1,Y1); t=linspace(pi*5/6,10*pi/9,1000);s=h;x2=(s+s0).*cos(t)-e*sin(t);y2=(s+s0).*sin(t)+e*cos(t);dx2 =- sin(t).*(s + s0) - e*cos(t);dy2 =cos(t).*(s + s0) - e*sin(t); X2=x2-rr*dy2./(sqrt(dx2.2+dy2.2);Y2=y2+rr*dx2./(sqrt(dx2.2+dy2.2);hold onplot(x2,y2);plot(X2,Y2); t=linspace(10*pi/9,pi*15/9,1000);s=0.5*h*(1+cos(pi*(t-(t0+ts)/t01); x3=(s+s0).*cos(t)-e*sin(t);y3=(s+s0).*sin(t)+e*cos(t);dx3=-0.5*h*pi/(2*t01)*sin(pi/t01)*(t-(t0+ts).*cos(t)- sin(t).*(s + s0) - e*cos(t);dy3=-0.5*h*pi/(2*t01)*sin(pi/t01)*(t-(t0+ts).*sin(t)+ cos(t).*(s + s0) - e*sin(t);X3=x3-rr*dy3./(sqrt(dx3.2+dy3.2);Y3=y3+rr*dx3./(sqrt(dx3.2+dy3.2);hold onplot(x3,y3);plot(X3,Y3);t=linspace(pi*15/9,pi*2,1000); s=0; x4=(s+s0).*cos(t)-e*sin(t);y4=(s+s0).*sin(t)+e*cos(t);dx4 =- sin(t).*(s + s0) - e*cos(t);dy4 =cos(t).*(s + s0) - e*sin(t); X4=x4-rr*dy4./(sqrt(dx4.2+dy4.2);Y4=y4+rr*dx4./(sqrt(dx4.2+dy4.2);hold onplot(x4,y4);plot(X4,Y4);hold offgrid ontitle('凸轮实际轮廓线','FontSize',20);
