機(jī)械原理大作業(yè)-凸輪機(jī)構(gòu)

1、二、凸輪機(jī)構(gòu)一、運(yùn)動分析凸輪的運(yùn)動分為4個階段：推程運(yùn)動、遠(yuǎn)休程、回程運(yùn)動、近休程。該凸輪機(jī)構(gòu)4個階段的運(yùn)動角分別為推程運(yùn)動角90、遠(yuǎn)休止角100 、回程運(yùn)動角50 、近休止角120 。推程運(yùn)動階段的運(yùn)動規(guī)律為正弦加速度運(yùn)動，回程運(yùn)動的運(yùn)動規(guī)律為4-5-6-7多項(xiàng)式運(yùn)動。凸輪的簡圖如圖1所示。圖1對該機(jī)構(gòu)進(jìn)行簡單的運(yùn)動分析：1. 升程階段采用正弦加速度的運(yùn)動規(guī)律，從動件的位移、速度、加速度、壓力角的計算公式如下：計算時將相應(yīng)的量帶入公式即可得到。類速度可以直接將位移方程對凸輪轉(zhuǎn)角求導(dǎo)得到。2. 遠(yuǎn)休程階段的位移不變，與凸輪升程階段最后的位移相等，速度、加速度則變?yōu)?。3. 回程階段位移、速度、

2、加速度可通過代入4-5-6-7多項(xiàng)式的方程求得。4. 近休程階段的位移與回程階段最后的位移相等，且為0，速度、加速度均變?yōu)?.開始二、流程框圖確定凸輪4個運(yùn)動階段對應(yīng)的角度、凸輪的角速度、升程和回程運(yùn)動規(guī)律及許用壓力角選擇合適的步長、基圓半徑、偏距計算并輸出升程運(yùn)動中從動件的位移、速度、加速度、類速度及理論輪廓的壓力角、曲率半徑凸輪轉(zhuǎn)角>升程運(yùn)動角 否 是 計算并輸出遠(yuǎn)休程運(yùn)動中從動件的位移、速度、加速度、類速度及理論輪廓的壓力角、曲率半徑 凸輪轉(zhuǎn)角>升程運(yùn)動角+遠(yuǎn)休止角 否 是計算并輸出回程運(yùn)動中從動件的位移、速度、加速度、類速度及理論輪廓的壓力角、曲率半徑 轉(zhuǎn)角>升程角+

3、遠(yuǎn)休角+回程角 否計算并輸出近休程運(yùn)動中從動件的位移、速度、加速度、類速度及理論輪廓的壓力角、曲率半徑 是繪制圖形 結(jié)束 圖2三、運(yùn)用VC編程#include<stdio.h>#include<math.h>#define pi 3.141592654 /定義全局變量int main() /主函數(shù)int i,j,k,l;double s; /定義位移量double v; /定義速度量double a; /定義加速度量double r; /定義弧度制角度量double d,o,m,t=40,x1,x2,y1,y2,d1,d2; /定義中間變量double p; /定義角度

4、制角度量double w=1; /定義并角速度量賦值doubleR=50; /定義基圓半徑doublee=30; /定義偏距doublen; /定義壓力角doubleu; /定義曲率半徑doubleRr=17; /定義滾子半徑并賦值doublex,y,X,Y; /定義實(shí)際與理論廓線上點(diǎn)的坐標(biāo) r=0;for(i=0;i<20;i+)s=20/pi*(4*r-sin(4*r);x=-(t+s)*sin(r)-e*cos(r);y=(t+s)*cos(r)-e*sin(r);d1=-(s+t)*cos(r)+e*sin(r);d2=-(s+t)*sin(r)-e*cos(r);X=x-Rr*

5、d2/pow(d1*d1+d2*d2,0.5);Y=y+Rr*d1/pow(d1*d1+d2*d2,0.5);d=80/pi*(1-cos(4*r);v=80/pi*(1-cos(4*r);a=320/pi*sin(4*r);m=atan(fabs(d-e)/(s+t);n=180*m/pi;x1=(t+s)*cos(r)+v/w*sin(r)-e*sin(r);y1=-(t+s)*sin(r)+v/w*cos(r)-e*cos(r);x2=-(t+s)*sin(r)+v/w*cos(r)+a/(w*w)*sin(r)+v/w*cos(r)-e*cos(r);y2=-(t+s)*cos(r)-

6、v/w*sin(r)+a/(w*w)*cos(r)-v/w*sin(r)+e*sin(r);u=pow(x1*x1+y1*y1,1.5)/fabs(x1*y2-y1*x2); r=r+pi/40;p=180/pi*r;printf("%lf %lf %lf %lf %lf %lf %lf %lf %lf %lf %lfn",p,s,v,a,d,n,u,x,y,X,Y);r=pi/2;for(j=0;j<5;j+)s=s;x=-(t+s)*sin(r)-e*cos(r);y=(t+s)*cos(r)-e*sin(r);d1=-(s+t)*cos(r)+e*sin(r);

7、d2=-(s+t)*sin(r)-e*cos(r);X=x-Rr*d2/pow(d1*d1+d2*d2,0.5);Y=y+Rr*d1/pow(d1*d1+d2*d2,0.5);d=0;v=0;a=0;m=atan(fabs(d-e)/(s+t);n=180*m/pi;x1=(t+s)*cos(r)+v/w*sin(r)-e*sin(r);y1=-(t+s)*sin(r)+v/w*cos(r)-e*cos(r);x2=-(t+s)*sin(r)+v/w*cos(r)+a/(w*w)*sin(r)+v/w*cos(r)-e*cos(r);y2=-(t+s)*cos(r)-v/w*sin(r)+a/

8、(w*w)*cos(r)-v/w*sin(r)+e*sin(r);u=pow(x1*x1+y1*y1,1.5)/fabs(x1*y2-y1*x2); r=r+pi/9;p=180/pi*r;printf("%lf %lf %lf %lf %lf %lf %lf %lf %lf %lf %lfn",p,s,v,a,d,n,u,x,y,X,Y);r=(19*pi)/18;for(k=0;k<20;k+)o=(18*r-19*pi)/(5*pi);s=40*(1-35*pow(o,4)+84*pow(o,5)-70*pow(o,6)+20*pow(o,7);x=-(t+s)

9、*sin(r)-e*cos(r);y=(t+s)*cos(r)-e*sin(r);d1=-(s+t)*cos(r)+e*sin(r);d2=-(s+t)*sin(r)-e*cos(r);X=x-Rr*d2/pow(d1*d1+d2*d2,0.5);Y=y+Rr*d1/pow(d1*d1+d2*d2,0.5);d=18*40/5/pi*(-35*4*pow(o,3)+84*5*pow(o,4)-70*6*pow(o,5)+20*7*pow(o,6);v=-80/pi*(140*pow(o,3)-420*pow(o,4)+420*pow(o,5)-140*pow(o,6);a=-160/pi*(4

10、20*pow(o,2)-1680*pow(o,3)+2100*pow(o,4)-840*pow(o,5);m=atan(fabs(d-e)/(s+t);n=180*m/pi;x1=(t+s)*cos(r)+v/w*sin(r)-e*sin(r);y1=-(t+s)*sin(r)+v/w*cos(r)-e*cos(r);x2=-(t+s)*sin(r)+v/w*cos(r)+a/(w*w)*sin(r)+v/w*cos(r)-e*cos(r);y2=-(t+s)*cos(r)-v/w*sin(r)+a/(w*w)*cos(r)-v/w*sin(r)+e*sin(r);u=pow(x1*x1+y1

11、*y1,1.5)/fabs(x1*y2-y1*x2); r=r+pi/72;p=180/pi*r;printf("%lf %lf %lf %lf %lf %lf %lf %lf %lf %lf %lfn",p,s,v,a,d,n,u,x,y,X,Y);r=(4*pi)/3;for(l=0;l<5;l+)s=s;x=-(t+s)*sin(r)-e*cos(r);y=(t+s)*cos(r)-e*sin(r);d1=-(s+t)*cos(r)+e*sin(r);d2=-(s+t)*sin(r)-e*cos(r);X=x-Rr*d2/pow(d1*d1+d2*d2,0.5)

12、;Y=y+Rr*d1/pow(d1*d1+d2*d2,0.5);d=0;v=0;a=0;m=atan(fabs(d-e)/(s+t);n=180*m/pi;x1=(t+s)*cos(r)+v/w*sin(r)-e*sin(r);y1=-(t+s)*sin(r)+v/w*cos(r)-e*cos(r);x2=-(t+s)*sin(r)+v/w*cos(r)+a/(w*w)*sin(r)+v/w*cos(r)-e*cos(r);y2=-(t+s)*cos(r)-v/w*sin(r)+a/(w*w)*cos(r)-v/w*sin(r)+e*sin(r);u=pow(x1*x1+y1*y1,1.5)/fabs(x1*y2-y1*x2); r=r+2*pi/15;p=180/pi*r;printf("%lf %lf %lf %l