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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。
; r, W4 K" ^& U( Z% A8 i4 [7 g;;;begain suprgear.lsp 0 [3 x* g  d! J
;************************************************* $ b, }% i0 Z, r% ^
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
1 w2 F: _# }6 x) w- D;-------------------------------------------------
: W! z; g3 l0 Q/ W; This routine draws a spur gear using joined
' y# p6 P7 F+ o  S* ^5 g; polylines. It lets you use any pressure angle 7 K  ]8 \5 P3 n
; to design the gear teeth.
3 A- M' W. ~: v4 H9 a7 W' g;************************************************* $ b2 \( S; {/ g
(defun err (s) ' V( w. [. |- Y% k4 z+ }( Q0 J8 n& m
(if (= s "Function cancelled") 2 M9 c' `( g8 t. l: x0 _! `' h
(princ "\nSPURGEAR - cancelled: ") : ^) Y6 q6 B6 q/ U/ T2 p% D
(progn (princ "\nSPURGEAR - Error: ") (princ s)
( O5 I( }* l9 x3 F& r(terpri))
& y5 R3 b" q- N& B* I9 }; ~); if / _: a4 q  Z3 D) R/ i9 {
(resetting) 9 j" X3 ?; @3 x$ l  ]. f( `* j
(princ "SYSTEM VARIABLES have been reset\n")
) R/ p6 V) V" O( K/ I- ](princ)
% {; F9 g, D9 b$ t: E7 B% p); err
' B1 Z) R. ?+ X! k7 r5 M9 v: V  j
9 Y' v( g! q, N- W( o: [: h(defun setv (systvar newval) ; f; [; r2 C9 X, E, A4 n
(setq x (read (strcat systvar "1")))
7 u8 g  D8 O8 |9 R: A(set x (getvar systvar)) ( k4 x* J6 X+ h0 F, j& [
(setvar systvar newval) & {0 h: z6 k# o
); setv
% x5 l: q# L; f# V0 N. O5 t5 w% q1 r4 S: W! R6 t9 ]
(defun setting ()
4 s& g  ?* O& H& V" |0 S(setq oerr *error*) ! K  W' _0 q" Q3 J9 z& A
(setq *error* err)
& ?) \6 }& z0 S$ r(setv "CMDECHO" 0) ( j3 E5 J+ l3 ]+ D
(setv "BLIPMODE" 0) " k# i! |3 ^* G. R  c
); end of setting ( L* a1 R' ^. D# r2 s2 r
(defun rsetv (systvar) : d9 o9 @$ {* w& f- \5 U# q+ c8 `
(setq x (read (strcat systvar "1"))) , |8 H- t) _* I  p% @
(setvar systvar (eval x)) 1 U. F$ h! q: y; S8 T& k, r0 ]- t
); restv
  ]& S0 r' }1 c* t(defun resetting () 5 P* w" o1 c3 G& f+ g, G- Q% `) Q
(rsetv "CMDECHO")
; j3 P; Y, q. s# o% A(rsetv "BLIPMODE")
: U, h* B8 D, y9 G$ a- A* G3 m" g(setq *error* oerr) 0 T* k+ g+ F& r" S; C. `* M
); end of resetting
( u+ l2 }! z+ v3 L, d7 Q% z+ |/ E. u/ W: E
(defun dxf (code ename) , E3 w; Z! F) _/ r( L
(cdr (assoc code (entget ename)))
% S0 g  Z' n6 A) E0 O+ Z); dxf 9 B7 N% w+ ], U3 X
% _: y' M4 S) S
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
9 W( x4 H" [& ]* @: qtrimcode invent p0 p curvent linent linent2 ent2 p2) 6 l$ E  h" Q- j7 B
(setq D (getreal "\nPitch diameter: ")
" I- D# M- C* z+ xN (getint "\nNumber of teeth: ") 3 L8 P! v  C/ H: \  |
phi (getreal "\nPressure angle: ")
: _% {8 \1 A( B2 [) u0 ?phi (* (/ phi 180) pi) ; Pressure angle ! I9 x7 T. |% K7 n" V% \' N5 V& k
DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter ; T+ s( F; d! E
RO (/ DO 2.0) ; Outside radius 3 g) ~& K: l1 J1 P- X5 R5 W1 J1 f
A (/ D N) ; Addendum * c6 W" u( B- U2 V
B (* 1.25 A) ; Dedendum
1 Z  l$ a% J* X  ^7 h8 p, X: zDR (- D (* B 2.0)) ; Root diameter 6 q! S8 z& I" A9 l& l$ l0 i
DB (* D (cos phi)) ; Base circle dia.
" w+ _: I  {) T  Y0 ^! `inv-plst (involute DB N phi);involute points ' h$ I6 i% P) d6 D
trimcode nil ; D+ {  `& \. y( R7 i
); setq 6 y) I* g+ N5 t2 ^) R# n! a
(command "ZOOM" (list 0 (- B)) 9 E0 \+ g% m$ b/ J; W: ?
(list RO (/ RO 1.5))
8 y6 z" q3 {+ }0 W5 y); command $ N3 U( I- T; m: O( g
(setq invent (draw-inv inv-plst)); Draw involute. 4 Z$ T/ v: i3 `% U2 D
(setq p0 (car inv-plst)
6 _" A6 O) h3 b! f  a$ Etrimcode (ext-trim p0 DR D);trim or extend , P7 P2 w+ O! p. F0 P+ G. W: {* T
); setq ; the involute.
* W7 J( I9 v2 W) ?! \. r(if (and trimcode (= trimcode 0))
9 P) M; z" x, D' M  ~* ^(progn ; Joins the involute to the extension.
& }: v  B2 d% R1 Y) b2 n8 \(setq p (list (/ DR 2.0) 0))
  H: a; U; c- m0 j(command "PEDIT" p "Y" "J" invent "" "X")
+ e" T# S/ Q7 e(setq curvent (entlast)) 9 x2 J8 a- K, d7 R( z
); progn
6 q8 c! v' c: V(setq curvent (entlast)) + {0 _. K; w; x; c5 ]$ b% P
); if
$ J- W, k! {+ I- [$ [! E(if (null trimcode) (setq curvent invent)) 8 t, i0 O5 y  W/ O7 |% S
(setq linent (draw-top-line D DB N RO)); top line. & C# @; c* G! b
(command "COPY" linent "" "0,0" "0,0") 6 b0 y6 Y8 P% z/ P' a, a) f
(setq linent2 (entlast)) ; z7 ]' I" D5 h5 f. a
(setq ent2 (mir-it curvent linent)); mirror curve % m$ u+ L  M* C( r6 V
(command "PEDIT" curvent "J" linent ent2 "" "X") ; n$ T: ?/ \% i' m& P* i
(segment DR N linent2) ; Finish the job! + J" ^- B: y3 a- M9 [  C
(setq p1 (list (- RO) (- RO)))
1 A6 M# N. Q- d: V(setq p2 (list RO RO)) 7 H2 l& s; U5 U5 o8 t2 M
(command "ZOOM" p1 p2)
) v3 r( ?) j, _, D; f) |' w(prompt "\nConverting to POLYLINE, please wait...") * q0 {5 l" ], S0 x. b! \  z5 @9 u0 Z
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")
2 @( }- j* O" c' J* u(prompt "\nAll done!")
) ^1 R) [) z, n( F  R9 ?); spurgear
) m# E. R1 _9 h, ?8 s4 U3 ~) N4 P- }# t' T
(defun involute (DB N phi / numer denom frac theta2max
0 t# O- u3 v5 O1 `& Zthetamax theta-inc theta plist RB xval yval p) - {8 y2 T7 S' t+ T
(setq invfact 3)
. y0 [" \- l8 P(setq numer (+ N 2.0) + l* y% i4 A$ n1 A) C
denom (* N (cos phi))
: g  ?: Y8 [4 l( Ifrac (/ numer denom) 9 W* K) a9 z9 K3 G4 B
theta2max (- (* frac frac) 1)
) f! q! n2 L. g7 Y: `( O+ zthetamax (sqrt theta2max)
- A; X. Y; J' I+ c( otheta-inc (/ thetamax (float invfact)) 1 r( Q# W( F" F
theta 0
* ~4 M' ?+ p0 {/ a* D% u6 z( Dplist nil / M( m& ?) B7 M1 f
RB (/ DB 2.0)
' I8 [2 m# t9 U9 z% [# f5 j); setq % w+ K# D' ]+ b" Y/ S( Z
(repeat (1+ invfact) 9 m3 q( r+ r: }0 n7 B
(setq xval (do-x RB theta) / G9 m$ L: |, c( X
yval (do-y RB theta)
" Y, ^' z7 t2 p, W6 }5 i' Sp (list xval yval) " C' R* [5 m5 u1 [7 {8 x
plist (append plist (list p)) 6 t- u5 A$ T. [$ y+ _
); setq
5 o7 m! ]: u/ o) f/ q, G) {# b4 z(setq theta (+ theta theta-inc)) & i% _, O, ~, u; b9 L
); repeat & w: ?6 D) q; m# p, {: O1 w
plist 2 Q  l/ O+ C" }4 [& v6 h- X
); involute
6 d/ w9 N8 D* \! l: Y% ~3 S0 W9 `- O$ n8 a# g6 I) w
(defun do-x (RB theta)
# `: N, |' h5 O' D(* RB (+ (cos theta) (* theta (sin theta)))) 1 K; t9 w: p9 j5 Y* t, e1 k
); do-x
+ X" I& r& r* V) f1 c; g! ^9 F$ x; C6 J, U
(defun do-y (RB theta) 2 J# @  j; H8 r( q
(* RB (- (sin theta) (* theta (cos theta)))) % Z/ v' D: a. i6 ?3 D6 z
); do-y ' l2 S- v( }6 Z. h6 h$ x

  i6 ~& ~9 ?! Q' d) I  R(defun draw-inv (inv-plst / dirpt plist p) ! l( P6 u2 L9 L3 T5 M
(command "PLINE" (nth 0 inv-plst)) - F( P, W4 z' ~% `3 N
(setq dirpt (polar (nth 0 inv-plst) 0 1)) 8 O0 m" P! a8 m5 Z
(command "A" "D" dirpt)
7 `1 z8 f* V' P+ T(setq plist (cdr inv-plst))
# d7 h/ T- |9 b, h6 v# v3 P(foreach p plist (command p)) , ~+ @$ y8 [( j
(command "") ! Y. g( g. V  M" f( e
(entlast) 3 B7 V& @& S7 r  ?  M
); draw-inv
7 O: y0 b! d* j% A3 _. k) }( h3 y9 Q
; u( o- i- ~0 i% N9 ]3 R7 J(defun ext-trim (p0 DR D / trimcode dist endr)
5 v" [4 c2 u$ _(if (> (car p0) (/ DR 2.0)) ; Extends the involute $ U# Z6 t2 b3 Q! ]% V
(progn 1 t7 X* X% p: g& Y
(command "LINE" (list (/ DR 2.0) 0) p0 "") * Q( k. ?2 x, L' y+ h
(setq trimcode 0) & B8 |4 _  p3 H8 s! W5 \+ ^
); progn
7 c! _+ ?; S" b( I6 B( E); if 9 ~1 C6 \7 Q! |9 U( ?* r
(if (< (car p0) (/ DR 2.0)) ; Trims the involute # ~3 u. r2 N3 S; p4 }
(progn + I# a/ T) x) H
(command "CIRCLE" "0,0" "D" DR); Root circle 7 |2 |3 u( @3 ]" m8 g, o" _
(setq dist (- (/ D 2.0) (car p0)))
6 S" F2 m) F7 e(command "ZOOM" p0   X, t! C0 |# j7 m5 Q
(polar p0 0.6 dist)) 8 Y" u0 U, k) @$ Z" k' q
(setq endr (entlast)) ) D1 t( F8 c0 x4 _2 F$ {2 U* ?: l% C
(command "TRIM" endr "" p0 "")
9 b& Q: o- J$ V8 ?0 E0 h(command "ZOOM" "P")
4 G5 z" x" c4 e  U(entdel endr)
/ e& _& p# }/ p! g, F8 w5 a(setq trimcode 1)
  O( X$ h7 @$ p, T6 Z6 b); progn & p4 L* l! C0 Z: }+ L- V8 g* C
); if & ?% M( t2 s* W! ]' U
trimcode
) ~  O) Z, a% H9 m( O); ext-trim
) d0 G3 N1 x) j
4 g2 T6 A" r6 k+ }4 {) O/ ]9 K(defun draw-top-line (D DB N RO / theta-p xp yp alpha ' l, g4 J& I2 `& K
beta tang angend inv-endpt lend)
2 \' `2 I5 U3 e4 e7 i(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
' F; ~( W. f# }5 B! sxp (do-x (/ DB 2.0) theta-p); This section 9 r' q1 X: I- p! j4 C' L* I  A- k7 k
yp (do-y (/ DB 2.0) theta-p); sets up angles : Q. H" R* G, q! `/ ?
alpha (atan yp xp) ; for drawing a
7 }& j) s- q1 F& o) gabeta (angle (list 0 0) (last inv-plst))
3 r, r! z4 o* lbeta (- abeta alpha) ; line across the
1 ?5 n9 L1 l9 K7 qtang (/ pi N) ; top of a tooth
4 R' N7 R% Q5 x& l; y2 Uangend (- (+ alpha tang) beta)
, k( W. f5 P/ ninv-endpt (last inv-plst); This also creates / ^1 b8 x- P$ J: m$ d1 O# g
lend (polar (list 0 0) angend RO); the tooth
. V' I' ?, F" E2 @: c0 ~); setq ; thickness. ; T. v. w8 l! V! P. }
(command "LINE" inv-endpt lend ""); Draws the line
" `) B! e) [0 x0 n" C(redraw)
3 g$ j3 {. g$ T8 f(entlast)
/ D( C# t# l* x3 d; V); draw-top-line
, M' l& k' D- `' O0 ~1 V' n/ l6 N' V5 d* J* G- m& \* W
(defun mir-it (cvent linent / pt)
$ ^/ G  i$ L2 J1 D(setq pt (dxf 11 linent))
- [# \) ?& b) [/ J6 h3 q(command "MIRROR" cvent "" "MID" pt "0,0" "") ' T% T0 u$ ]- [
(entlast) 3 E7 I: \0 Z0 E( C: z. h1 f
); mir-it 1 \' w; q8 `/ L* b: h

" |" a+ S% ]$ l2 Y- q(defun segment (DR N en / p1 p2 ang dist midp p0 pang
2 m% @! h& J  Rpang2 p p3 ent3 entl1 entl2 en1 en2) . }' t7 Z  F$ S/ @5 K
(setq p1 (dxf 10 en) ' E: U9 s% @5 g. D
p2 (dxf 11 en) 8 G% J' Z+ V8 @
ang (angle p1 p2) 3 u$ D  Q1 w  I9 V
dist (/ (distance p1 p2) 2.0)
# H. O! v: ]3 Q+ P( v6 T! jmidp (polar p1 ang dist) . m) o0 ~' z) z0 t
p0 (list 0 0) 4 y# Y) A, f$ M8 N9 \: {% \
pang (angle p0 midp)
; ]' C& Z9 T4 f1 p" C0 q% Lpang2 (/ pi N) / d. ?0 G5 N3 A
p (polar p0 pang (/ DR 2.0))
" r# X3 u( Y, ?+ M0 W5 H& rp1 (polar p0 (- pang pang2) (/ DR 2.0)) ( D% Z* L1 B. N# y1 D
p2 (polar p0 (+ pang pang2) (/ DR 2.0)) 2 Q; b; u& M" A3 |# B* [7 x! Q
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) 4 d. q' q  a5 f
ent3 (entlast); This is the tooth p-line ( @# U4 K8 B& x
); setq 8 u. M+ s9 Y+ i2 T& V  d  _3 S( @3 i
(command "ZOOM" "W" p3 p1)
7 u( ~  j# e" c9 h- \3 {% k4 B(command "CIRCLE" "0,0" "D" DR) ;Root circle " n( l1 S* I9 r. }. O
(command "TRIM" ent3 "" p ""); Trim the root circle ; @/ W- i& H2 f, G/ o5 }
(command "ZOOM" "P") 2 b  P/ M6 x& ~- w( \- Z  n
(command "LINE" p0 p1 "")
: C: M# W2 N" k! v- \7 t; w: J(setq entl1 (entlast))
! b3 z: z  k2 Q# |! s3 G0 E  v/ F(command "LINE" p0 p2 "") ; J; e) x8 k% @, s8 [# S; b
(setq entl2 (entlast)) 9 K' s7 k* X) F1 W3 @7 ?# M
(command "TRIM" entl1 entl2 "" p3 "")
3 Q" n' J, U, E" D% [, @1 X( h; g$ a(entdel entl1) 8 ^* }2 {) E7 y* A& k" h8 w
(entdel entl2) 6 U+ u" ~! U5 r1 ?' h' g9 R
(entdel en)
: a# F- H$ T, c: g$ p- g' Z(command "ZOOM" "W" p3 p1)
1 i; [) V- N5 g! ?6 ~' @(command "PEDIT" p1 "Y" "X") & A0 K) o! K  i
(setq en1 (entlast))
- x* w- z* p' Z, g) e9 ?' a(command "PEDIT" p2 "Y" "X")
: d4 I# ^' I, R. W7 k0 ^(setq en2 (entlast)) ( t6 N$ m1 c" @7 A7 g; A: C
(command "PEDIT" en1 "J" midp en2 "" "X") ! n4 ~* q) o0 J  N, r
(command "ZOOM" "P")
4 V2 l6 D  z2 S* L% C(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") 1 t, }8 c( `8 i# _9 e
); segment
; N* G6 l9 ~  m- U) @
5 R) h! e0 y$ R- E4 Z6 w: `9 O: L(defun c:sg () - u8 N' z& n! W0 A
(setting) # _# g1 g; J0 ]% R+ {
(spurgear) 1 H+ ?$ \. W! U
(resetting) ; k4 d+ J) b1 _/ |' ]3 j
(princ) 5 W# B0 A8 O' N9 \* y
); c:sg 2 [2 ^5 s; {# i. Y8 J
' t0 k9 R+ w$ s
(prompt "\n**SPURGEAR.LSP Loaded!")
4 @3 ^- M( j3 l(prompt "\n Enter 'SG' to start") 2 W' F; D! ?1 [, C$ `
;;;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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