CAD画齿轮的渐开线程序(lsp)和渐开线齿轮关系

1、一、CAD中齿轮画法有下面一段渐开线程序：;begainsuprgear.lsp;*;SPURGEAR.LSP-alispprogrambyTonyHotchkiss;Thisroutinedrawsaspurgearusingjoined;polylines.Itletsyouuseanypressureangle;todesignthegearteeth.;*(defunerr(s)(if(=sFunctioncancelled)(princnSPURGEAR-cancelled:)(progn(princnSPURGEAR-Error:)(princs)(terpri);if(reset

2、ting)(princSYSTEMVARIABLEShavebeenresetn)(princ);err(defunsetv(systvarnewval)(setqx(read(strcatsystvar1)(setx(getvarsystvar)(setvarsystvarnewval);setv(defunsetting()(setqoerr*error*)(setq*error*err)(setvCMDECHO0)(setvBLIPMODE0);endofsetting(defunrsetv(systvar)(setqx(read(strcatsystvar1)(setvarsystva

3、r(evalx);restv(defunresetting()(rsetvCMDECHO)(rsetvBLIPMODE)(setq*error*oerr);endofresetting(defundxf(codeename)(cdr(assoccode(entgetename);dxf(defunspurgear(/DNphiDOROABDRDBinv-plstp1trimcodeinventp0pcurventlinentlinent2ent2p2)(setqD(getrealnPitchdiameter:)N(getintnNumberofteeth:)phi(getrealnPressu

4、reangle:)phi(*(/phi180)pi);PressureangleDO(*D(+(/2.0N)1.0);OutsidediameterRO(/DO2.0);OutsideradiusA(/DN);AddendumB(*1.25A);DedendumDR(-D(*B2.0);Rootdiameter););repeat););prognDB(*D(cosphi);Basecircledia.inv-plst(involuteDBNphi);involutepointstrimcodenil);setq(commandZOOM(list0(-B)(listRO(/RO1.5);com

5、mand(setqinvent(draw-invinv-plst);Drawinvolute.(setqp0(carinv-plst)trimcode(ext-trimp0DRD);trimorextend);setq;theinvolute.(if(andtrimcode(=trimcode0)(progn;Joinstheinvolutetotheextension.(setqp(list(/DR2.0)0)(commandPEDITpYJinventX)(setqcurvent(entlast)(setqcurvent(entlast);if(if(nulltrimcode)(setqc

6、urventinvent)(setqlinent(draw-top-lineDDBNRO);topline.(commandCOPYlinent0,00,0)(setqlinent2(entlast)(setqent2(mir-itcurventlinent);mirrorcurve(commandPEDITcurventJlinentent2X)(segmentDRNlinent2);Finishthejob!(setqp1(list(-RO)(-RO)(setqp2(listRORO)(commandZOOMp1p2)(promptnConvertingtoPOLYLINE,pleasew

7、ait.)(commandPEDIT(entlast)JCp1p2X)(promptnAlldone!);spurgear(defuninvolute(DBNphi/numerdenomfractheta2maxthetamaxtheta-incthetaplistRBxvalyvalp)(setqinvfact3)(setqnumer(+N2.0)denom(*N(cosphi)frac(/numerdenom)theta2max(-(*fracfrac)1)thetamax(sqrttheta2max)theta-inc(/thetamax(floatinvfact)theta0plist

8、nilRB(/DB2.0);setq(repeat(1+invfact)(setqxval(do-xRBtheta)yval(do-yRBtheta)p(listxvalyval)plist(appendplist(listp);setq(setqtheta(+thetatheta-inc)plist);involute(defundo-x(RBtheta)(*RB(+(costheta)(*theta(sintheta);do-x(defundo-y(RBtheta)(*RB(-(sintheta)(*theta(costheta);do-y(defundraw-inv(inv-plst/d

9、irptplistp)(commandPLINE(nth0inv-plst)(setqdirpt(polar(nth0inv-plst)01)(commandADdirpt)(setqplist(cdrinv-plst)(foreachpplist(commandp)(command)(entlast);draw-inv(defunext-trim(p0DRD/trimcodedistendr)(if(carp0)(/DR2.0);Extendstheinvolute(progn););draw-top-line(commandLINE(list(/DR2.0)0)p0)(setqtrimco

10、de0);progn);if(if(carp0)(/DR2.0);Trimstheinvolute(progn(commandCIRCLE0,0DDR);Rootcircle(setqdist(-(/D2.0)(carp0)(commandZOOMp0(polarp00.6dist)(setqendr(entlast)(commandTRIMendrp0)(commandZOOMP)(entdelendr)(setqtrimcode1);progn);iftrimcode);ext-trim(defundraw-top-line(DDBNRO/theta-pxpypalphabetatanga

11、ngendinv-endptlend)(setqtheta-p(sqrt(-(*(/DDB)(/DDB)1.0)xp(do-x(/DB2.0)theta-p);Thissectionyp(do-y(/DB2.0)theta-p);setsupanglesalpha(atanypxp);fordrawingaabeta(angle(list00)(lastinv-plst)beta(-abetaalpha);lineacrossthetang(/piN);topofatoothangend(-(+alphatang)beta)inv-endpt(lastinv-plst);Thisalsocre

12、ateslend(polar(list00)angendRO);thetooth);setq;thickness.(commandLINEinv-endptlend);Drawstheline(redraw)(entlast)(defunmir-it(cventlinent/pt)(setqpt(dxf11linent)(commandMIRRORcventMIDpt0,0)(entlast);mir-it(defunsegment(DRNen/p1p2angdistmidpp0pangpang2pp3ent3entl1entl2en1en2)(setqp1(dxf10en)p2(dxf11e

13、n)ang(anglep1p2)dist(/(distancep1p2)2.0)midp(polarp1angdist)p0(list00)pang(anglep0midp)pang2(/piN)p(polarp0pang(/DR2.0)p1(polarp0(-pangpang2)(/DR2.0)p2(polarp0(+pangpang2)(/DR2.0)p3(polarp0(+pangpang2pang2)(/DR2.0)ent3(entlast);Thisisthetoothp-line);setq(commandZOOMWp3p1)(commandCIRCLE0,0DDR);Rootci

14、rcle(commandTRIMent3p);Trimtherootcircle(commandZOOMP)(commandLINEp0p1)(setqentl1(entlast)(commandLINEp0p2)(setqentl2(entlast)(commandTRIMentl1entl2p3)(entdelentl1)(entdelentl2)(entdelen)(commandZOOMWp3p1)(commandPEDITp1YX)(setqen1(entlast)(commandPEDITp2YX)(setqen2(entlast)(commandPEDITen1Jmidpen2X

15、)(commandZOOMP)(commandARRAYp1P0,0N360Y);segment(defunc:sg()(setting)(spurgear)(resetting)(princ);c:sg(promptn*SPURGEAR.LSPLoaded!)(promptnEnterSGtostart);endsuprgear.lsp将上述代码保存成lsp文档格式,最好存入cad目录下的Support文件夹下。打开CAD图形后点击“工具”菜单fAutoLISPf加载一找到自己所存的.LSP文件位置点“加载”、点“关闭”。在CAD环境下“命令”状态栏里输入飞8”命令后就可以调用。二、渐开线关系式(开始建模就要加入此关系式)m=(模数)za=(齿数)alpha=20压力角db=0.5*m*za*cos(20)基园