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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。8 l% K* ~' ?$ Q7 v7 i: ]
;;;begain suprgear.lsp 8 q7 T) W: e  a3 U) m: Z  o
;************************************************* 6 T$ t0 i/ e( z5 c% Y% r
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
+ _! N) P5 _0 p% H  H: ?  c( Q;-------------------------------------------------
9 |/ {' g. K  s5 l; This routine draws a spur gear using joined
5 A, L: B: l% D- Y: M' c; polylines. It lets you use any pressure angle
. v6 y$ X( _0 L/ L- U$ b; to design the gear teeth.
! \) t3 y0 m7 w9 w- g;*************************************************   W/ s$ G: r. x' s: ?3 ^
(defun err (s) . n# r* ]5 h0 e. p$ D- h
(if (= s "Function cancelled") ) j! R, W( k2 C8 ]% u
(princ "\nSPURGEAR - cancelled: ")
4 x$ H, l0 p' A, v(progn (princ "\nSPURGEAR - Error: ") (princ s)
1 j8 H, r8 R) ~(terpri)) 3 [, {2 I8 \6 E+ Y5 r% w7 g) h
); if
6 d5 Z# s  X/ k(resetting)
$ A. D$ `+ c* s6 Q4 I$ K1 [5 A(princ "SYSTEM VARIABLES have been reset\n") 4 d/ d! x) r( j6 M+ K9 T; R: h
(princ) 4 \; m; g" C" L: ~! e0 x  S
); err
! n/ F  ?, S1 R/ A5 A% J; n
2 z1 A2 u& X) h$ F9 S! u/ `(defun setv (systvar newval)
' P9 G% k0 A# D0 x* O0 `1 M(setq x (read (strcat systvar "1")))
% p' o2 ?+ v( ?( a+ B* R& H9 w(set x (getvar systvar)) ! H4 h1 [3 `+ ^+ v
(setvar systvar newval)
* f. @" _/ R# v! |2 O4 J5 Q); setv 8 P3 _& W) q  Q9 `+ N: `; d

! Y  t8 g% U0 O. A6 e(defun setting ()
- M: m. i) q& Q, p(setq oerr *error*)
3 `7 P) a8 v* P; M" @(setq *error* err) 2 r, j+ H4 h/ X" C
(setv "CMDECHO" 0) 4 V( m" B1 ?0 X9 `
(setv "BLIPMODE" 0) , Z2 Q2 _; K/ F5 E) d1 k7 M
); end of setting 8 }3 H0 ^: M- E+ o9 x+ v9 m
(defun rsetv (systvar)
# K! |' C# K- [; ^% e(setq x (read (strcat systvar "1")))
5 |- G& O& N3 F; n* p( {) \(setvar systvar (eval x))
+ J. N; B) T" o* k); restv / @! `; U4 V" }) A
(defun resetting ()
" ~: [" B6 N1 r8 f: s8 @4 O(rsetv "CMDECHO") - D, d$ @1 E+ W6 u7 M
(rsetv "BLIPMODE")
4 I( F/ g9 f* s9 G6 A! N4 Y(setq *error* oerr)
7 P  G- K1 n5 d); end of resetting
. {$ u8 M+ I6 l: V$ H( z1 e% Y" x1 ~2 |: ?5 P9 y: [" g
(defun dxf (code ename) 0 B0 T0 J6 P/ x" m) m8 y
(cdr (assoc code (entget ename)))
& K! t- ?- K/ a# \) u+ |); dxf 2 l1 V5 m4 O. b5 V. E$ t
- r1 F: i# m& w
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
7 w- r) y# n5 D2 L% _trimcode invent p0 p curvent linent linent2 ent2 p2) ' e8 V4 |% }/ z+ y/ U! \* B
(setq D (getreal "\nPitch diameter: ")
! ~/ S& [& U' k) o' i4 nN (getint "\nNumber of teeth: ")
" v: ^3 C. w* p( v8 `phi (getreal "\nPressure angle: ")
" M7 f( j/ d8 s) @# Rphi (* (/ phi 180) pi) ; Pressure angle
: `; M7 A7 O( C1 D1 r; c3 w9 eDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter
: W$ g' {6 w0 q: |RO (/ DO 2.0) ; Outside radius / }) G2 ?! p3 {' _4 `. r/ s
A (/ D N) ; Addendum , P7 K9 x# `$ q
B (* 1.25 A) ; Dedendum
* u- j5 `8 }1 O( ^  Q9 bDR (- D (* B 2.0)) ; Root diameter ( P% U8 \; }, Y8 D0 S: r9 |
DB (* D (cos phi)) ; Base circle dia.
, ]! e8 C' M9 i9 {  ]. dinv-plst (involute DB N phi);involute points ) i0 t$ t: b6 ?' |  U  d  m) f0 a
trimcode nil
$ Z, W; `2 I1 R1 u2 R); setq , g1 ]$ b+ j2 l- N7 l
(command "ZOOM" (list 0 (- B)) 9 _/ \1 g; f& ?" \. n, E
(list RO (/ RO 1.5))
, x$ |# V4 u3 O/ t: z5 H9 W" t! e); command
; z4 _, ?) V. ?& y: ~( @% R0 }(setq invent (draw-inv inv-plst)); Draw involute. 5 K6 I8 w0 Q* h* u5 d
(setq p0 (car inv-plst)
8 H' z" u- w1 V( X. p, S" z3 ztrimcode (ext-trim p0 DR D);trim or extend
/ G4 K* o) t; v& ?) i- ~4 b7 Y# h); setq ; the involute. 2 g# A6 N  E2 f! C9 N! ?; ?
(if (and trimcode (= trimcode 0))
, s" h3 r" s6 J! ^; {$ B6 i+ l$ G(progn ; Joins the involute to the extension.
5 W& I, F, q+ A( B, e( A(setq p (list (/ DR 2.0) 0))
( ~5 x# e6 a# U(command "PEDIT" p "Y" "J" invent "" "X") ( v3 k4 L6 l3 M% F" u4 S- v: o2 u
(setq curvent (entlast))
( c# N" n5 K( R$ l( I); progn
/ |& t( j" H  T9 C0 G0 R0 x(setq curvent (entlast)) 7 V6 ]4 l+ l1 G( W+ F
); if
+ G4 ?0 n3 D/ ?6 S(if (null trimcode) (setq curvent invent)) ( C  l0 P( Q, @, H5 x/ b$ ~
(setq linent (draw-top-line D DB N RO)); top line.
8 y* x% N7 _, O! E(command "COPY" linent "" "0,0" "0,0")
/ f* T2 l5 J6 U9 `(setq linent2 (entlast)) # w: W7 O, ~1 U$ A
(setq ent2 (mir-it curvent linent)); mirror curve
5 j# ]9 m7 t9 Z  M0 U: u(command "PEDIT" curvent "J" linent ent2 "" "X")
& E8 D! Y- C: G(segment DR N linent2) ; Finish the job! : A' o7 u7 u& w: o0 x" a; }5 j
(setq p1 (list (- RO) (- RO)))
1 ^5 ]9 w  b) j% m! R4 W9 `(setq p2 (list RO RO))
' g& ]1 p: M. t2 D(command "ZOOM" p1 p2) * i3 @2 k; T- m3 k# K! [
(prompt "\nConverting to POLYLINE, please wait...")
) K" u$ {1 Q, j  f/ b(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") " a5 a! D& h- d' ?, m
(prompt "\nAll done!")
% f/ I* h3 \0 [/ ~' c, X& q# e); spurgear
% _' D+ }. \. u7 |5 z) s8 O9 ^) [% G
(defun involute (DB N phi / numer denom frac theta2max / D" }3 g) q$ x! N& t5 k
thetamax theta-inc theta plist RB xval yval p) : f- ]: L; F9 `6 b" {) Z& f8 p
(setq invfact 3) $ d; l; U+ E7 e
(setq numer (+ N 2.0) ! o4 Z7 P2 ]% d4 [
denom (* N (cos phi))
7 \# s. F! G, Dfrac (/ numer denom) ' \. S+ z4 a! R8 h& V# L
theta2max (- (* frac frac) 1)
- v. C. L) w6 nthetamax (sqrt theta2max)
/ \; K8 x/ C' Q6 ]+ Ytheta-inc (/ thetamax (float invfact))
& [3 o4 S+ E$ c: otheta 0
: {; c1 b, H7 h) Yplist nil
$ i7 ~; R9 o( Z# N5 H$ ]4 i7 [RB (/ DB 2.0)
4 J) T& a5 ]8 t, g. ]. i: h); setq
  W$ P; L$ B& O2 X* x( X(repeat (1+ invfact)
6 T7 J3 n$ k  b  N* l(setq xval (do-x RB theta)
+ u5 Z$ g8 ]1 V: Xyval (do-y RB theta) * x  g$ o7 w+ A4 M' T
p (list xval yval)
6 Z7 |/ x# e6 N) M7 {plist (append plist (list p)) - }' x" d- f' _, o3 h
); setq
% ^1 C* n, e* q(setq theta (+ theta theta-inc)) 7 @" g0 {- P6 N+ @
); repeat : m& X/ M1 Y7 q
plist
' ~% }1 L6 J( t7 h- i8 ]  [& O); involute 2 L: N2 d; W" G5 \! H, j
( j3 ?( {4 i0 s( S5 q, p- T# V& \
(defun do-x (RB theta)
! G% z/ E8 ?! q, a(* RB (+ (cos theta) (* theta (sin theta)))) 0 q; h* O! M7 F, K/ o
); do-x
* _- u' E+ k+ ^( E1 S8 S
$ }# r1 g5 M( u* a1 k4 m# p' W0 c(defun do-y (RB theta) 6 o" _4 n2 M/ _, S9 C' f8 S
(* RB (- (sin theta) (* theta (cos theta)))) . N1 c" a2 G# Z/ \
); do-y : w$ F1 |2 L% Q+ N
+ g3 G8 A0 x- S" X. _
(defun draw-inv (inv-plst / dirpt plist p) & x6 ^( \  v7 ?6 g
(command "PLINE" (nth 0 inv-plst))
4 K' a1 ~9 J, T2 {8 Z5 P(setq dirpt (polar (nth 0 inv-plst) 0 1))
3 A  D3 @2 k( X, t- ~* A6 W3 `' Q2 P(command "A" "D" dirpt)
. l# Z5 |0 n  v) H4 }+ _(setq plist (cdr inv-plst))
! {0 D# x) u2 c1 u5 @6 v(foreach p plist (command p))
9 `0 Y* W4 P+ ]. @7 P7 w1 B4 }. N0 X2 e(command "")
$ ]; g+ ]+ `/ a0 H3 l" ](entlast)
2 }3 _9 C% V1 F0 ~); draw-inv $ v. y: O4 q- F) W' \

/ d& V) L9 W; L2 S(defun ext-trim (p0 DR D / trimcode dist endr) 8 U$ }) k4 P+ p7 S+ E7 C; _
(if (> (car p0) (/ DR 2.0)) ; Extends the involute
0 |/ @6 @3 j  K! G' T* o(progn
! E% E# P$ y' ^; e/ w& B(command "LINE" (list (/ DR 2.0) 0) p0 "") ' E6 d8 A& Y& n: R) i: P
(setq trimcode 0)
: }1 x" L7 \# }); progn
; K- M: A) l8 R9 u- V# o5 a); if
- `; M" Z" Y0 B(if (< (car p0) (/ DR 2.0)) ; Trims the involute ) |. P9 {* m7 O& G! I7 @5 h) O$ V5 G
(progn ! `8 F) C+ K* M# _0 x; D9 S: R/ b
(command "CIRCLE" "0,0" "D" DR); Root circle - x+ j9 `  A# A& q+ G8 M2 G; n
(setq dist (- (/ D 2.0) (car p0))) $ k0 G6 u3 A% c& K  Q  W
(command "ZOOM" p0
7 f' s3 X! r1 x/ z, n* m(polar p0 0.6 dist)) $ z+ A& h% n5 F1 R5 `6 F& @; X
(setq endr (entlast)) ) y: M% F; y& O5 F
(command "TRIM" endr "" p0 "") 3 F+ g; _) g! i8 e- {: Y, I: S! I, |
(command "ZOOM" "P") ' w3 C5 j7 x: _" C9 g
(entdel endr) 8 b% ^& D7 K3 j0 B
(setq trimcode 1) " H. ?0 G  r; Q2 A6 g* F0 a
); progn , R4 D  H3 ^4 Z/ d, I
); if
+ n$ V' E# X7 Z2 ?* \* x( v" Btrimcode
4 F, x  M8 h1 G1 q); ext-trim ! ~# a6 T7 M& ]; T3 a
! E8 T4 D4 I. N2 f/ z: V2 p$ H
(defun draw-top-line (D DB N RO / theta-p xp yp alpha
: l2 V7 {4 q/ d( l* ]- T+ J4 Wbeta tang angend inv-endpt lend) * a- i; U3 ]' l* l5 l+ y
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
) j" Q( |7 W/ Z% K4 Nxp (do-x (/ DB 2.0) theta-p); This section
1 i2 F8 Y; @4 s" O9 L4 ]' p( ]yp (do-y (/ DB 2.0) theta-p); sets up angles ! V# ~8 A- V& l8 e+ `3 E
alpha (atan yp xp) ; for drawing a ( H7 k. {7 h5 \0 E3 i1 C& ]9 K- z9 R
abeta (angle (list 0 0) (last inv-plst))
! x- I1 d( R: r2 e7 \4 @% ebeta (- abeta alpha) ; line across the
; Z% r5 e. k6 P, ^' U; F4 itang (/ pi N) ; top of a tooth
7 q# C( S' X! {angend (- (+ alpha tang) beta) 2 N( U: }5 Y$ D
inv-endpt (last inv-plst); This also creates , X  }; k! D- C, C, d: _
lend (polar (list 0 0) angend RO); the tooth ) r. i  y8 o% q) z% N
); setq ; thickness. 9 U" m3 V0 ^5 e- n
(command "LINE" inv-endpt lend ""); Draws the line 9 d8 T* L+ p% [
(redraw)
1 E) `% H. J0 S  X$ E) s9 h(entlast)
( o: I1 F/ n9 K5 Z. b); draw-top-line
! W7 F( o, c& Z( A
+ y2 u) Y! D* g(defun mir-it (cvent linent / pt) ; D) y4 s2 E% B1 q0 |. G7 }0 h
(setq pt (dxf 11 linent))
$ a6 T& x" N: d+ R4 [: n(command "MIRROR" cvent "" "MID" pt "0,0" "") ( r+ d! f( z& a5 K. z
(entlast) 4 \+ B6 Q+ N+ J
); mir-it
1 r' s% D* e) H) y% ~! s" ~
6 k& e% @3 B$ L7 y(defun segment (DR N en / p1 p2 ang dist midp p0 pang / n0 {3 [- [9 a. f5 O
pang2 p p3 ent3 entl1 entl2 en1 en2) " g$ O: `* ~" P* u9 [
(setq p1 (dxf 10 en)
4 S/ t& g& k7 L* ~7 o; z" bp2 (dxf 11 en)
+ g8 T6 h0 j) a' k5 eang (angle p1 p2) : v. ~. r9 m. K( ^) ^
dist (/ (distance p1 p2) 2.0) % y" |$ ^+ J/ h" J2 Q. _* k
midp (polar p1 ang dist)
& s- |6 y3 O  ]  M) [p0 (list 0 0)
+ c$ `, {9 ]9 G" Y$ kpang (angle p0 midp) 0 I) B3 y6 l: j/ v6 S$ y' y
pang2 (/ pi N)   n* v3 ^, K; B6 `( D
p (polar p0 pang (/ DR 2.0))
$ H" f# ^: ~% e* `p1 (polar p0 (- pang pang2) (/ DR 2.0))
9 I) f  U- q% H1 E6 vp2 (polar p0 (+ pang pang2) (/ DR 2.0)) % y$ L' \, L4 e7 E$ Y
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) 5 N# y7 o. o+ z1 c1 K% E0 R
ent3 (entlast); This is the tooth p-line
; [/ d+ `5 z1 T% K  h); setq
* E* ]  M/ ?, E2 W& K* G2 K(command "ZOOM" "W" p3 p1) 6 c2 {3 Q3 t* y* X5 e
(command "CIRCLE" "0,0" "D" DR) ;Root circle
9 J, O# d5 a2 J& m(command "TRIM" ent3 "" p ""); Trim the root circle : B6 _) ]" I# D: `" U/ }% u
(command "ZOOM" "P")
5 ^) B7 \" r& t1 b/ O(command "LINE" p0 p1 "")
8 G2 e) E) I0 P) J(setq entl1 (entlast)) 0 ]. ~6 u+ ^) y1 @8 T
(command "LINE" p0 p2 "") 9 S, e& o3 F3 S
(setq entl2 (entlast))
8 S5 E  J0 n) t(command "TRIM" entl1 entl2 "" p3 "")
. N$ T, w1 P: ~4 T(entdel entl1)
( R5 E+ o' S/ d+ c3 C5 G(entdel entl2) $ ]! D; x0 P: }0 {
(entdel en)
) B$ ?' W- |' F% s2 S(command "ZOOM" "W" p3 p1)
7 J' S0 y- ~( J6 L0 d(command "PEDIT" p1 "Y" "X")
" u" H$ Y/ c9 ~* \# h( U) [. e(setq en1 (entlast))
5 |5 @: v% }1 ]; E' x(command "PEDIT" p2 "Y" "X") $ |' v6 V$ U  r! ~6 n! h
(setq en2 (entlast)) ! D0 ~+ ^2 J' ^. |$ s3 I  _
(command "PEDIT" en1 "J" midp en2 "" "X")
7 d' P0 y0 z3 q4 f(command "ZOOM" "P")
7 K( C" Z" Q6 U0 y6 K# |(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") ' p. ]! H9 R2 f2 H
); segment
" d+ y: |" s, ^8 a0 D; v
% o  E& K  ?& U+ _* B1 ]3 }' l( w(defun c:sg ()
6 Y0 W& b# q1 t2 n5 @; c, F" A" `(setting)
- Y: `1 E8 }2 Q- h( j(spurgear)
% y) M& T7 u! @(resetting)
6 E0 _7 u( n3 F- [5 N8 p% A+ H(princ) * ]& H1 p2 r6 ^" \; s
); c:sg $ t4 B6 r% H3 i- i
% `( J) U0 j& c( g( N4 B. r
(prompt "\n**SPURGEAR.LSP Loaded!") 0 m& G5 X7 i$ D" b
(prompt "\n Enter 'SG' to start")
4 O8 ^/ G2 u; B- N7 _;;;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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