各种弹簧的表达式.doc

圆形缠绕弹簧R=120-园半径a=t*n*360angle=360b=t*anglen=40-螺旋圈数mmp0=wire_diammp1=0r=10-螺旋半径t=1tempR=R+r*cos(a)-变化中的3D园半径wire_dia=5-弹簧线径xt=tempR*cos(b)yt=tempR*sin(b)zt=r*sin(a)变螺距弹簧End_pitch=0.5-终止卷螺距OD=1-弹簧外直径Start_pitch=0.1075-起始卷螺距Turns=5-弹簧圈数Wire_dia=0.05-弹簧线径height=Turns*mean_pitch-弹簧高度mean_pitch=(Start_pitch+End_pitch)/2-平均螺距mmp0=Wire_diammp1=0rad=OD/2-弹簧外半径t=1-规律曲线x=t*heightx1=0x2=mean_pitchx3=height-mean_pitchx4=heightxt=cos(360*Turns*t)*rad-X规律yt=sin(360*Turns*t)*rad-Y规律z1=0z2=Start_pitchz3=height-End_pitchz4=heightzt=zt1+zt2+zt3+zt4-Z规律zt1=(x-x2)*(x-x3)*(x-x4)/(x1-x2)*(x1-x3)*(x1-x4)*z1zt2=(x-x1)*(x-x3)*(x-x4)/(x2-x1)*(x2-x3)*(x2-x4)*z2zt3=(x-x1)*(x-x2)*(x-x4)/(x3-x1)*(x3-x2)*(x3-x4)*z3zt4=(x-x1)*(x-x2)*(x-x3)/(x4-x1)*(x4-x2)*(x4-x3)*z4变螺距弹簧在已知起始螺距和终止螺距、圈数条件下利用拉格朗日插值法确定Z值变化规律闭合端部弹簧Active_coils=11-中间螺距圈数Closed_height=Wire_dia+0.01-最后圈间隙Dir=1-改变螺旋旋转方向Free_length=7-弹簧自由长度OD=2.19-弹簧外直径Total_coils=13-螺旋总圈数Wire_dia=0.095-弹簧线径angle_offset=(Total_coils-trnc(Total_coils)*360-0angle_offset_init=(Total_coils-Active_coils)/2*360-360exp=(pitch/Closed_height*(Total_coils-Active_coils)/2)-指数height=Free_length-Wire_dia-Closed_height*2-中间螺旋高mmp0=Wire_diammp1=0pitch=height/Active_coils-中间螺旋螺距radius=(OD-Wire_dia)/2-螺旋线半径t=1-规律参数xt=cos(Dir*360*Active_coils*t+angle_offset_init)*radius-中间螺旋X规律xt1=cos(Dir*360*(Total_coils-Active_coils)/2*t)*radius-上端部螺旋X规律xt2=cos(-Dir*360*(Total_coils-Active_coils)/2*t+angle_offset)*radius-下端部螺旋X规律mmyt=sin(Dir*360*Active_coils*t+angle_offset_init)*radius-中间螺旋Y规律mmyt1=sin(Dir*360*(Total_coils-Active_coils)/2*t)*radius-上端部螺旋Y规律mmyt2=sin(-Dir*360*(Total_coils-Active_coils)/2*t+angle_offset)*radius-下端部螺旋Y规律mmzt=t*height+Closed_height+Wire_dia/2-中间螺旋Z规律mmzt1=(t(exp)*Closed_height)+Wire_dia/2-上端部螺旋Z规律mmzt2=(-t(exp)*Closed_height)+height+Closed_height*2+Wire_dia/2-下端部螺旋Z规律一个闭合端部的弹簧需要三条规律曲线，中间部分的一个简单螺旋线，在两端的可变螺距的螺旋线，Z值应按指数含数规律变化，指数等于主圈螺距除以闭合端的高度。Zt=（t(pitch/closed_height)*closed_height)+offsetpitch-主圈螺距closed_height-闭合端高度offset-为偏置值是需要使闭合端部的端点怎样匹配主螺旋线的端点的Z向偏置距离（间隙）椭圆形弹簧endangle=360*n-弹簧终止角n=10-圈数mmp0=wire_dirmmp1=0pitch=5-螺距s=(1-t)*startangle+endangle*tsemimajor=