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[考试] 求助,这是我多年的问题

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发表于 2008-8-25 14:22 | 显示全部楼层 |阅读模式
齿轮上的曲线是不是有个方程式呢,

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发表于 2008-8-25 15:29 | 显示全部楼层
发截图啊。 。下载要社区币的
发表于 2008-8-25 15:49 | 显示全部楼层
没钱下载了,什么问题呢
发表于 2008-8-25 21:08 | 显示全部楼层
以下就是齿轮渐开线的程序代码,唤起命令是“SG" 怎么加载忘了。+ e; X& A  x- A: K* q4 J6 h9 j
;;;begain suprgear.lsp
7 A7 h6 x' N  U, ~' g; D1 V;************************************************* - o# ^# r  F7 Y- V7 i- y% ]9 d7 N3 w* c6 |
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
: B1 _" Y- d& C! u; ];------------------------------------------------- # M/ k& W7 E7 [5 q% p
; This routine draws a spur gear using joined 8 Z/ s/ n8 Q  B- K1 f. g
; polylines. It lets you use any pressure angle - G- L3 b. F) ?' y) r
; to design the gear teeth.
: |8 J4 s1 h& Z1 s) S0 F1 }; \;*************************************************
0 _+ w3 m2 q/ w(defun err (s)
7 I  C+ |: p; ]" e& h' N. p4 ^(if (= s "Function cancelled")
, r/ ~9 d) H3 X  B. l(princ "\nSPURGEAR - cancelled: ") 3 f8 g: R0 `  Z, t1 _; v
(progn (princ "\nSPURGEAR - Error: ") (princ s)
/ H0 D  a# |4 o. ]: v% h! L(terpri)) 4 @# s- |1 v0 h+ ~( e
); if   `  Z/ ]9 @3 M0 b( P" f0 j
(resetting) 4 i5 D8 {5 J. E+ f6 _5 X
(princ "SYSTEM VARIABLES have been reset\n") 2 G5 m  V& c3 E/ |+ S% M9 Z
(princ)
1 ^* x- D# T1 ~: n8 T); err + v9 g0 q9 H$ i9 R+ |! d, M; y3 |4 d

3 ~. F) I. E, b* P- Y1 D. m(defun setv (systvar newval)
3 W' q, x8 f6 E(setq x (read (strcat systvar "1"))) 3 s  J( Z( D. m; E
(set x (getvar systvar))
9 Z$ s; W/ @) m1 h8 M(setvar systvar newval)   w! S# k+ E% K6 K: n
); setv
0 ^: B* x5 i+ N( G8 Y4 `: c! A9 T; [: ^
(defun setting () ) z7 `8 d) F5 R/ n3 Q) I6 ^
(setq oerr *error*)
; X- i4 ]3 ^; t& Y(setq *error* err) 8 a5 o6 E3 S' T% n
(setv "CMDECHO" 0) % e4 H3 O$ Z1 c8 d
(setv "BLIPMODE" 0)
. I2 ?7 l# j5 e3 R- |+ k); end of setting
# h3 \% j# _. r: I1 O" n" |+ X5 L3 X(defun rsetv (systvar) 6 [8 Q  F( z( E' [& a
(setq x (read (strcat systvar "1")))
' D3 b4 Q. Q7 K5 }(setvar systvar (eval x)) 3 C! K. U, ?/ t  i0 C% d
); restv 8 u' v9 Y/ J; \8 p1 A$ q( I
(defun resetting ()
: t( V+ s* {1 B5 u! I" @5 o1 q(rsetv "CMDECHO") 9 |: n: w* Q6 O+ J0 {! `# I8 O* E8 V3 u
(rsetv "BLIPMODE")
( R9 s# j$ |6 `! l% B! |. Q* r7 Q(setq *error* oerr) 3 Z* F* V4 y! @* C8 f6 _
); end of resetting ) l# p3 G/ J$ z- a

+ @- a; |" s9 E, w! [(defun dxf (code ename)
& x' X* ~; V% t8 T* k. N$ Y(cdr (assoc code (entget ename))) 1 v) m+ p4 q: n
); dxf : b% t3 v, H( N# J& G) y
3 h. x  |3 k" ?$ v. K# M4 u- g$ x: y
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
/ ^( Y) F+ k# R. q, l* U& i& Ctrimcode invent p0 p curvent linent linent2 ent2 p2) , [0 T2 \- r4 m: m' o# r& I
(setq D (getreal "\nPitch diameter: ") & \' G6 l$ {  K" l4 [/ G" ~$ ~
N (getint "\nNumber of teeth: ")
5 z" `8 ^4 ~0 m3 Q5 K4 G3 N' W0 Aphi (getreal "\nPressure angle: ") ) y/ N7 ^3 w. D5 P" n- ]1 t6 X6 ]
phi (* (/ phi 180) pi) ; Pressure angle ' D" I8 ~; L5 E  y6 z1 {. I
DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter
; I$ `& c  e7 Q! {4 U# C( zRO (/ DO 2.0) ; Outside radius ' Z% D7 j3 O* J% [3 }
A (/ D N) ; Addendum 0 ?  z/ x! N& t, b$ Q6 E2 N9 I
B (* 1.25 A) ; Dedendum 0 j6 s; C5 K9 T: f
DR (- D (* B 2.0)) ; Root diameter 0 h  \+ i4 e; @/ W. t( H
DB (* D (cos phi)) ; Base circle dia. ! t) W6 R8 x( l) a+ m
inv-plst (involute DB N phi);involute points
7 m$ C8 C  t6 A6 n8 j7 v! q) b7 x# Mtrimcode nil 5 l5 e- u: _, u5 j& _- r
); setq " N( _& }0 Y1 C
(command "ZOOM" (list 0 (- B)) 7 i2 y# p+ H9 i1 y  N( `! {3 L3 g
(list RO (/ RO 1.5))
" s7 h6 b' X4 P$ o& ]0 }; I/ q); command
- S, a" c9 B5 y4 A(setq invent (draw-inv inv-plst)); Draw involute. 7 x: F3 F2 m6 {- Q& F: w
(setq p0 (car inv-plst)
8 B! v8 M8 U5 z" H! ptrimcode (ext-trim p0 DR D);trim or extend
: |1 L0 ?" y4 f0 Y/ w9 N# V6 F* P); setq ; the involute.
# h5 g% d$ X0 w(if (and trimcode (= trimcode 0))
7 c( d% B" C5 b: i# f(progn ; Joins the involute to the extension. 3 O5 p/ u1 Z( V. B0 H2 a
(setq p (list (/ DR 2.0) 0))
+ O  t) h" C  |0 {% d(command "PEDIT" p "Y" "J" invent "" "X") + I- ~, F  ]: q' a
(setq curvent (entlast)) ) v3 c, R0 ~& {! ]3 u/ B# [
); progn
* z9 p' C: ~% A5 m& s! C$ S7 F% ~(setq curvent (entlast)) 0 T3 m/ d8 K, I) A
); if $ z; B. k  X, R! |
(if (null trimcode) (setq curvent invent))
+ ?0 |8 r5 K1 e/ z(setq linent (draw-top-line D DB N RO)); top line. % v5 Z: g6 z1 e! r
(command "COPY" linent "" "0,0" "0,0")
0 k1 h5 D; s' @(setq linent2 (entlast))
& x; a# G* [* o, I, |9 g(setq ent2 (mir-it curvent linent)); mirror curve 6 r3 Z# V. F* F" ]  W
(command "PEDIT" curvent "J" linent ent2 "" "X") 6 x! Q4 D: A% P0 N: v3 }  G: I# d
(segment DR N linent2) ; Finish the job!
$ ^2 [' C+ s" q, K$ f' b: ~% e(setq p1 (list (- RO) (- RO)))
; L/ m1 ~0 K% n! ?(setq p2 (list RO RO)) / ^6 Z5 |5 H! E6 h
(command "ZOOM" p1 p2) 9 u! u- x9 U4 O
(prompt "\nConverting to POLYLINE, please wait...") ! l( P6 w5 W/ T, q; ^
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") $ h0 b+ G7 T  Z: M0 b$ h
(prompt "\nAll done!")
4 y% ^4 }4 m4 s2 n4 t0 C, \); spurgear 8 F# C$ R9 J( A, D, n* c
7 z# D+ a  c* t: o) S) A0 Y. g8 P
(defun involute (DB N phi / numer denom frac theta2max * p: e2 b) C: Y* J9 ~8 b: l
thetamax theta-inc theta plist RB xval yval p) ) I) U6 `4 y6 F: j: c
(setq invfact 3)
  S5 s. U3 Z. \7 s(setq numer (+ N 2.0)
" x# \% P( `0 T8 N4 [$ w4 ~  ?denom (* N (cos phi))
' @' D. n7 ]$ x. ^frac (/ numer denom)
/ O+ h! ^* D) [8 u$ ptheta2max (- (* frac frac) 1) 5 W* ?* Q# N! E% |6 M
thetamax (sqrt theta2max)
8 h/ c3 j% B: v. B% rtheta-inc (/ thetamax (float invfact))
5 z( ~* I% n6 `# Z. Dtheta 0
# O( A0 t, k  r2 uplist nil
: ], o+ c0 T2 a( |% O) S/ pRB (/ DB 2.0) 8 g0 i- Y3 i# ^9 Y) y
); setq
" v- \- l4 [! j: y; J4 `& H4 }( u(repeat (1+ invfact) , I  ^8 H8 {% J0 d( \5 W
(setq xval (do-x RB theta) & [4 c- o! j6 M: ?' f: w
yval (do-y RB theta)   [2 m8 ?6 p3 U% h0 W& G1 i
p (list xval yval)
+ t7 w) T8 U6 r( t6 Bplist (append plist (list p))
, E4 d: B0 A( ?% _( T: J); setq
  a( j7 \: V: o8 B& G  I(setq theta (+ theta theta-inc))
/ |+ P5 z) R5 L/ _); repeat " ^. A' q2 p# o% ~/ a! X' N6 g
plist
# X4 N9 h! y' V( Z( Q- s6 u6 A; y); involute
5 `/ E$ `8 k8 B0 ]) D- s+ u( u5 \
% Y" n4 w3 _4 v8 @& n% m. k( S$ i(defun do-x (RB theta)
8 D1 I4 @5 O) B(* RB (+ (cos theta) (* theta (sin theta))))
% s$ ^' y% C# Y& X5 N); do-x
5 h7 j7 Q, T9 j) N( p8 C' C  M5 _7 V
(defun do-y (RB theta)
" W/ K8 J3 E4 Y* A# s& X(* RB (- (sin theta) (* theta (cos theta))))
- c: r& Z0 E! z& Z5 W0 O0 }( H); do-y
$ @' z1 w- n; u: y7 z* O+ C+ O  l( P- G- r9 r2 X3 D' }, w; K
(defun draw-inv (inv-plst / dirpt plist p)
) e) l' `5 ]3 X& n2 {+ [4 d) m(command "PLINE" (nth 0 inv-plst))
- q% H  t9 z/ @# |* v(setq dirpt (polar (nth 0 inv-plst) 0 1))
: k) M4 c" g+ n$ H( y: W(command "A" "D" dirpt)
* W: S/ v. L: V(setq plist (cdr inv-plst)) : c; N- t) A( K4 k3 ]# e2 w
(foreach p plist (command p))
1 b- R. {' P$ k(command "")
8 A* T" i/ |0 [% z(entlast)
. F' n  L: u* e4 K3 x; ~); draw-inv   t8 _0 Q# Q; Y! J- |
  h, ?0 C% ~& Q& A; ]. ~: V
(defun ext-trim (p0 DR D / trimcode dist endr) 7 o: w  g9 L9 C# Z! |9 g6 r' X
(if (> (car p0) (/ DR 2.0)) ; Extends the involute ' N( ^% i2 |; g1 H0 Q9 o6 T
(progn   z: Y. A2 {5 Q! T' N
(command "LINE" (list (/ DR 2.0) 0) p0 "")
3 b0 u2 {  }( `% P(setq trimcode 0) 7 z# n- V& U/ Y
); progn + a- k) Q4 A3 D) d$ p+ Q; d
); if
# G! q& l$ I* Q+ d+ a- m6 U2 }5 g% W(if (< (car p0) (/ DR 2.0)) ; Trims the involute
1 d- ^( w+ _/ d: K( y(progn : f# B( a5 Q7 g" k' `% k- M6 j
(command "CIRCLE" "0,0" "D" DR); Root circle
& S% M& {5 t0 s9 s: F5 g3 V7 ~(setq dist (- (/ D 2.0) (car p0))) % D2 X- |6 B" k- s3 V3 a: y& u; g
(command "ZOOM" p0 ! e& L, ?; y# s% s
(polar p0 0.6 dist)) ( B  R5 b4 ?  S9 F7 r1 `
(setq endr (entlast)) 5 t2 e* P! s# ~1 X" X+ y8 R
(command "TRIM" endr "" p0 "")
+ I) ~3 N' M% }. z* [) A(command "ZOOM" "P")
1 d9 F, [% M$ `1 V/ f; C5 h(entdel endr)
0 Y8 D* g1 g- J9 p% N5 o(setq trimcode 1)
. |2 d% F8 W  T/ K); progn % k6 @# s2 Z& A  a) y4 [2 a- x. b  {
); if : j. |% {1 F  m" F8 D  K3 u
trimcode
* T% I0 B5 q0 V); ext-trim ' R  D$ D* f8 U. t6 y$ z+ c0 L

+ _, X4 c1 {5 A  ]: K(defun draw-top-line (D DB N RO / theta-p xp yp alpha
, A) k& u- t# E. q2 a: ?8 Sbeta tang angend inv-endpt lend) 2 Z' M  ?  M4 K
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) 5 r# u* u+ _! m. O
xp (do-x (/ DB 2.0) theta-p); This section
' U/ K- N& a6 Y( I8 e6 H) D; z: ayp (do-y (/ DB 2.0) theta-p); sets up angles
0 g# ?8 P  J: [' S& B) oalpha (atan yp xp) ; for drawing a
$ ^% N8 T! b7 }' f# N2 ~& eabeta (angle (list 0 0) (last inv-plst)) 2 {: A" ?% X/ V% q
beta (- abeta alpha) ; line across the
  t+ `: Z6 ^/ @# }( y) U* O' ^# Stang (/ pi N) ; top of a tooth
* F$ W/ L; X0 q. H% p" l& O& J" bangend (- (+ alpha tang) beta) ; [6 u& x* r6 t- n$ y- n/ N# f& Y. Q
inv-endpt (last inv-plst); This also creates ; T3 a: c2 C$ |5 |3 q
lend (polar (list 0 0) angend RO); the tooth $ g- B( j# J2 b* o1 A) H9 H3 j
); setq ; thickness.
# H/ A$ i: t0 Y- r6 c" ^(command "LINE" inv-endpt lend ""); Draws the line   D, e/ g' P8 ?  z% Z
(redraw)
+ t6 B! U4 B+ ~5 G$ ^/ X) ?(entlast)
& K' B8 M7 Z7 M; X7 ?2 z); draw-top-line
& q" M9 e- \2 k. j0 w" Z3 n) \0 ~; g+ q% b! H) k, E
(defun mir-it (cvent linent / pt) ( I3 @$ @5 _: ?& w0 `5 O
(setq pt (dxf 11 linent))
  [& \3 [4 z4 \: G! T: w, ](command "MIRROR" cvent "" "MID" pt "0,0" "") 0 s" ^. E6 l; [# m+ a) x, L
(entlast)
6 M' [3 S8 D( P# e); mir-it " d9 [# j5 [+ e, `2 b4 G
7 S$ H4 c/ K+ |
(defun segment (DR N en / p1 p2 ang dist midp p0 pang * s% i# }4 p9 V& E5 g6 O! N
pang2 p p3 ent3 entl1 entl2 en1 en2)
. V# A/ z4 v# u! A(setq p1 (dxf 10 en) 4 q; J5 [& J. X  j, H
p2 (dxf 11 en)
1 Q" M9 U7 {2 a# x6 B- y6 X! Uang (angle p1 p2) 6 q0 q5 x1 j' A( j
dist (/ (distance p1 p2) 2.0) . L! {2 }6 W. {; d/ y( R
midp (polar p1 ang dist) # `. \2 M9 w3 V- f3 B% d
p0 (list 0 0)
; z% z9 k$ @# D; ~9 tpang (angle p0 midp) 8 D6 m& P$ f/ @1 V4 R, L8 w
pang2 (/ pi N)
9 U: j3 |# s& p  sp (polar p0 pang (/ DR 2.0))
. _# x  g* r* E3 `; F3 @1 Zp1 (polar p0 (- pang pang2) (/ DR 2.0)) 3 ?( y# P7 B, K" v2 W1 u, I# `3 u6 j
p2 (polar p0 (+ pang pang2) (/ DR 2.0))
! S8 f/ I2 p5 ]! O( K; Up3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) 8 W: O" H  L/ O3 w; ~% l# C# p% m" {
ent3 (entlast); This is the tooth p-line
5 I: o6 A( O' v; c% O! m); setq * h4 j9 w6 b. I: S7 g- e
(command "ZOOM" "W" p3 p1)
) s* Q  z" Z, d8 c2 m  k(command "CIRCLE" "0,0" "D" DR) ;Root circle 5 b+ j7 k6 R/ D% `; d
(command "TRIM" ent3 "" p ""); Trim the root circle
! [2 X7 n* J, X* m- U(command "ZOOM" "P") ) s* D' b8 w4 b2 m) d  w
(command "LINE" p0 p1 "") 3 B5 b5 t; U$ H
(setq entl1 (entlast))
5 b$ H9 U( g8 B. N(command "LINE" p0 p2 "") ! A9 O! ~1 i7 f8 Q" x
(setq entl2 (entlast)) , Q- \! M# J/ {# r) C
(command "TRIM" entl1 entl2 "" p3 "")
( [, r! m. h& h, p+ x" V. ~" p% W5 o(entdel entl1) + y9 O3 v* z% O  y
(entdel entl2) + E! }! `2 g; i* N" r0 x
(entdel en) 9 |9 b* G& y) J( f" l
(command "ZOOM" "W" p3 p1)
+ f' X3 r6 ^$ `(command "PEDIT" p1 "Y" "X") 7 |, Z8 C) [. Q  |$ ?
(setq en1 (entlast)) & S( d& X& k; b. z% ^
(command "PEDIT" p2 "Y" "X")
% [$ K  _/ f5 g# g; H(setq en2 (entlast)) 8 F% u+ }9 y, i4 T1 a% a
(command "PEDIT" en1 "J" midp en2 "" "X") ! X# F, t9 G) r# ^8 r, f
(command "ZOOM" "P") 1 j( b9 j6 W7 N2 j! }7 B- S
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") $ S$ Q4 |& K) J5 q- _$ h) T) \
); segment
! m+ A4 `6 k$ v4 ^3 d+ u) ?. E* _2 m0 A2 L7 _$ V/ T4 W) e0 {
(defun c:sg () 1 f' g- n1 e  d3 I
(setting)
9 T0 C, V7 z! l5 M. e+ F(spurgear) 4 J4 F7 q7 k; {1 Y
(resetting)
' X8 V- m0 b+ @4 _! h, Y(princ)
6 D2 p) u+ Z% i8 m) E" F); c:sg ; e1 M7 |6 \  A, P5 o" A

: I$ X/ ?/ c: f( N4 _$ s+ J  i3 T6 L( P(prompt "\n**SPURGEAR.LSP Loaded!") / L; k' {" V) s8 Z/ x; Z
(prompt "\n Enter 'SG' to start")
. A& I4 O' P; U/ _3 O: X3 i3 x;;;end suprgear.lsp
发表于 2008-12-12 15:26 | 显示全部楼层
好,好东西,我顶了,太管用的
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