2022年機(jī)械原理大作業(yè)凸輪作業(yè)合集

1、 Harbin Institute of Technology機(jī)械原理大作業(yè)二課程名稱(chēng)： 機(jī)械原理 設(shè)計(jì)題目： 凸輪機(jī)構(gòu)設(shè)計(jì) 院 系： 能源科學(xué)與工程學(xué)院 班 級(jí)： 設(shè) 計(jì) 者： 學(xué) 號(hào)： 指引教師： 設(shè)計(jì)時(shí)間： /05/26 1.設(shè)計(jì)題目如圖2-1所示直動(dòng)從動(dòng)件盤(pán)形凸輪機(jī)構(gòu)，其原始參數(shù)見(jiàn)表2-1。從表2-1中選擇一組凸輪機(jī)構(gòu)旳原始參數(shù)（第24小題），據(jù)此設(shè)計(jì)該凸輪機(jī)構(gòu)。圖2-1表2-1 凸輪機(jī)構(gòu)原始參數(shù)升程（mm）升程運(yùn)動(dòng)角（）升程運(yùn)動(dòng)規(guī)律升程許用壓力角（）回程運(yùn)動(dòng)角（）回程運(yùn)動(dòng)規(guī)律回程許用壓力角（）遠(yuǎn)休止角（）近休止角（）120150正弦加速度40100余弦加速度6050602.凸輪推桿升

2、程，回程運(yùn)動(dòng)方程及推桿位移，速度，加速度，運(yùn)動(dòng)線圖（1）推桿升程，回程方程運(yùn)動(dòng)方程如下：A.推桿升程方程： B.推桿回程方程： （2）推桿位移，速度，加速度線圖如下：A.推桿位移線圖 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推桿速度線

3、圖 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推桿加速度線圖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*p

4、i/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、凸輪機(jī)構(gòu)旳ds/d-s線圖，并以此擬定凸輪基圓半徑和偏距（1）凸輪機(jī)構(gòu)旳ds/d-s線圖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:

5、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）按許用壓力角擬定凸輪旳基圓半徑和偏距 a.求升程切點(diǎn) 升程許用壓力角1=400求得轉(zhuǎn)角t=1.0287, 進(jìn)而求得切點(diǎn)坐標(biāo)（x,y）=（81.6870,35.2516）b.求回程切點(diǎn) 回程許用壓力角2=600求得轉(zhuǎn)角t=4.7890，進(jìn)而求得切點(diǎn)坐標(biāo)（x,y）=（-77.822,18.3975）c. 擬定直線方程推

6、程：y= tan(5*pi/18)*(x-81.6870)+35.2615回程：y=-tan(pi/6)*(x+77.8223)+18.3975d. 繪圖擬定基圓半徑和偏距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

7、*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 如上圖所示，在這三條直線所圍成旳公共許用區(qū)域

8、，只要在公共許用區(qū)域內(nèi)選定凸輪軸心O旳位置，凸輪基圓半徑r0和偏距e就可以擬定了?，F(xiàn)取軸心位置為x=25， y=-100，則可得到，偏距： e=25基圓半徑：4.凸輪理論輪廓線和實(shí)際輪廓線及滾子半徑擬定a. 繪制凸輪理論輪廓線Matlab程序編制：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+12

9、0).*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

10、onplot(x,y);xlabel(x/mm)ylabel(y/mm)title(理論輪廓曲線)b. 在理論廓線上分別繪出基圓與偏距圓Matlab程序編制：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

11、*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

12、*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.擬定滾子半徑Matlab程序編制：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*

13、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*

14、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=

15、sqrt(dx4.2+dy4.2);hold onplot(t,p);hold offtitle(曲率半徑,FontSize,20);grid ond.繪制實(shí)際輪廓線Matlab程序編制：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

16、*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(

17、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/