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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。0 m' [1 V& `5 }& K
;;;begain suprgear.lsp : }* ~6 p4 _0 k& v
;************************************************* ) S$ S% X1 I# F/ ~0 G% n1 g' B
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
8 G( L! \8 Q5 Z6 Z1 m; f3 k3 J: C;------------------------------------------------- / V8 L% I# w* Z
; This routine draws a spur gear using joined 4 z! D& t- m% l4 M5 D/ g/ B9 a
; polylines. It lets you use any pressure angle
  m. {) P7 R6 y' X; to design the gear teeth. 0 t, L+ U$ y+ }/ y" v
;*************************************************
1 \" D0 r; H- Q3 }(defun err (s)
* g& y3 _; ]0 B- T: w2 I! V(if (= s "Function cancelled") . |! n1 l6 b" c
(princ "\nSPURGEAR - cancelled: ") 4 }3 w/ f( W; w' W9 g4 S( F
(progn (princ "\nSPURGEAR - Error: ") (princ s)
5 O  a( _1 E: I(terpri))
2 }' t& D' h% B6 D4 |. Q); if ( V9 V& E; S3 d& ?6 U4 x. \; y
(resetting) & T, \6 v* Q; q$ f7 V- B
(princ "SYSTEM VARIABLES have been reset\n") 4 g& @) T$ E7 t" ]
(princ) & t" Y/ K: M6 O' d3 O) ^
); err
  f- W" F5 [% [" U& w6 X, {' {$ q$ F) @
(defun setv (systvar newval) 7 d2 O( H2 x7 D9 h7 B
(setq x (read (strcat systvar "1")))
" L0 R: {: N5 K+ i$ i! c/ K(set x (getvar systvar)) # m' d0 g) i" H. I" Z+ S- [& V% o
(setvar systvar newval)
- g' d5 h. F. W* v( F1 t3 W); setv   z, E% |* M& p6 @; l! x
3 O4 n/ u5 b( {9 ~1 \* q. v6 }
(defun setting () # c! Q( a3 d9 U
(setq oerr *error*) ; y' c% S3 O3 \% F
(setq *error* err) ! b# c% a6 O" f) d! x/ P, Q
(setv "CMDECHO" 0)
8 s( b' r5 c8 G$ U2 [. g) Y(setv "BLIPMODE" 0) % m! f0 F0 x' A7 p& m
); end of setting ) L; [4 U. e4 \6 ]4 u) E9 S8 ~
(defun rsetv (systvar) 0 b* C/ J( _; |8 x; [
(setq x (read (strcat systvar "1")))
7 T0 e  \; Z/ M- Y) P(setvar systvar (eval x))
# _" u7 _4 H+ n! q1 d5 Z0 `2 W7 W); restv 4 B: n  N7 t+ M* y  p
(defun resetting () & u0 V( _' s3 ^9 ^* U/ k
(rsetv "CMDECHO") 9 L) b4 C' P& ]8 I, N$ X
(rsetv "BLIPMODE") 6 t, w1 s# L* X' ~' S5 V  j
(setq *error* oerr) 0 q* Q' W8 ^/ |
); end of resetting 9 ]5 K% v' R& R7 r( R6 e$ R  g8 |
* a: J/ v+ }8 b/ e7 s
(defun dxf (code ename)
, E% P% b3 z" v3 F' n; ?(cdr (assoc code (entget ename))) ! l. e+ z7 ]$ C/ Q6 @& y3 d( H
); dxf 7 f6 q+ ~: ]- O3 T; ^! J
- f6 _# l1 S, S+ [  U
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1 " z4 Y6 c; U0 \1 `7 V5 Y* U
trimcode invent p0 p curvent linent linent2 ent2 p2)
1 u( o' [  I6 a/ c(setq D (getreal "\nPitch diameter: ") ( d( a1 V( @6 }( v% J2 X" i* d0 r
N (getint "\nNumber of teeth: ") % F/ J' _/ Y  Z# Q8 P0 M
phi (getreal "\nPressure angle: ") 2 [7 t. q( f2 C+ T5 Y2 _3 L
phi (* (/ phi 180) pi) ; Pressure angle / z; l, Y2 x9 |# U  q
DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter 5 `6 S' B6 t; D7 r1 `6 z
RO (/ DO 2.0) ; Outside radius 1 r+ x) l4 M8 H! `1 {
A (/ D N) ; Addendum
4 ?& E) Q% \: Q! J+ s, IB (* 1.25 A) ; Dedendum ! w; d: q. m: Y: ?0 n- Y' k
DR (- D (* B 2.0)) ; Root diameter
+ H, _0 S: [( kDB (* D (cos phi)) ; Base circle dia. ! a, p1 {7 D; B4 W# h4 u# H0 F3 {$ B
inv-plst (involute DB N phi);involute points 5 j* N4 k( i2 B1 q9 y' H9 n9 D! u
trimcode nil
& Y3 s4 v/ O. A' i* C1 s3 \); setq
6 v( Z" y- F; E& w5 x, f; C(command "ZOOM" (list 0 (- B)) 9 Y% [7 y5 {* a5 h
(list RO (/ RO 1.5))
% H6 J  }" i/ B- B( W7 A/ n); command $ m7 ]( x( {. ]% Z0 r% A: |4 X* Z& ^4 h
(setq invent (draw-inv inv-plst)); Draw involute. - {7 m1 G) a% _# Q' v
(setq p0 (car inv-plst)
! j9 w% [  b/ M' \6 N! g! ]7 utrimcode (ext-trim p0 DR D);trim or extend
7 m% I2 G6 A6 n); setq ; the involute.
0 q* M# l' j- d. V: @(if (and trimcode (= trimcode 0)) 5 a% |/ K; b3 U( P
(progn ; Joins the involute to the extension. 0 ?% \4 Y2 a1 x/ z# H
(setq p (list (/ DR 2.0) 0))
" X$ E  `% X7 J3 k# O7 {6 X: q(command "PEDIT" p "Y" "J" invent "" "X") 1 U6 x% ^- G, k7 V8 s4 B, M# E5 _
(setq curvent (entlast)) * A  }. f3 [* d/ I3 Z
); progn
5 U) N: C/ K8 ?" i( o. ?8 o! t0 j(setq curvent (entlast)) 7 E2 L! F5 B- ?0 w1 n1 K6 e8 U
); if 6 j- R% B# S1 r8 R
(if (null trimcode) (setq curvent invent)) # s, n2 A6 w5 r4 O- y
(setq linent (draw-top-line D DB N RO)); top line.
. d9 `) y2 u0 Y0 ~7 c! b2 ?(command "COPY" linent "" "0,0" "0,0") * ]" u1 M  z' t5 b7 n' V
(setq linent2 (entlast))
2 ^1 v6 @3 J( R(setq ent2 (mir-it curvent linent)); mirror curve . i4 J* j. t4 ^6 H) X& y& K. n
(command "PEDIT" curvent "J" linent ent2 "" "X") % p( R$ I5 L0 u  ~% v
(segment DR N linent2) ; Finish the job! + [% q5 ^. k% u2 J8 d; m
(setq p1 (list (- RO) (- RO)))
9 f" H3 D5 s) A: w" V3 p6 S3 |4 {(setq p2 (list RO RO))
( X! U' W! G! B8 |+ O) x(command "ZOOM" p1 p2)
# T: [* M7 }, p" s' e(prompt "\nConverting to POLYLINE, please wait...") * K; ~0 R) u* A, ]
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")
: D" ?; [3 q' g( ^(prompt "\nAll done!")
2 x6 _9 Z6 I6 Y( x5 u: q' F: g); spurgear 7 C9 N- ]/ Q5 M/ y

# y6 _" A$ A5 [, z(defun involute (DB N phi / numer denom frac theta2max & ]0 W3 G" o( r" X. N2 j' }
thetamax theta-inc theta plist RB xval yval p) 1 F2 J0 ~7 E  j) b: `! d
(setq invfact 3)
5 C1 Y8 O& C/ N4 y# P0 u  t(setq numer (+ N 2.0)
: W% K! Z6 @7 C; bdenom (* N (cos phi)) $ l; @4 u# p% ]+ F$ T) R8 u
frac (/ numer denom) 6 `# M6 E( H. b2 I, A: p( q1 F8 e
theta2max (- (* frac frac) 1)
3 o9 y+ ^0 ?! Y  C( o% ~; V$ e) uthetamax (sqrt theta2max) " ^+ ^: t6 g+ m7 E+ E: Z( y
theta-inc (/ thetamax (float invfact)) . e! v. C/ ~( U7 }, e0 j, b
theta 0
% h8 x1 Q% Q7 m, U9 Xplist nil
% b+ [( v2 j0 m- K% L- u9 m$ MRB (/ DB 2.0)
9 Q+ z# M' L  E); setq
" ^" {* [2 O% W8 [1 w, W5 E(repeat (1+ invfact) ' X# u4 c/ B# d5 ^
(setq xval (do-x RB theta) 8 \# ~% w, @9 C: W8 f2 b6 P# Z3 Q
yval (do-y RB theta)
, P1 v0 j2 k! @1 k9 Y2 s0 ~+ S( Jp (list xval yval) ( E% |1 V+ e' _
plist (append plist (list p)) 4 u" J/ K; }" v" o9 t" l
); setq ( C4 T# K6 Z0 {, _% m
(setq theta (+ theta theta-inc)) ( f1 j$ e' N( |( X+ f
); repeat
  c* j( z+ Q4 R- {$ splist
3 p  a4 K9 Q, d. J. j) `# L0 ~% m" ]); involute
* P9 o# k* h1 D$ a; d# [
" D6 w" M% t- `) z. S0 q7 q* F(defun do-x (RB theta) ; O# e8 t# v6 h
(* RB (+ (cos theta) (* theta (sin theta))))
* _, {+ j: f* `. m! E9 Y); do-x
+ g& ~& B! w: ~2 w# R2 \8 j
) Z0 s+ U- g% l' A! }5 z(defun do-y (RB theta)
& \4 ?, W* l) V$ |' e2 S+ |(* RB (- (sin theta) (* theta (cos theta))))
3 J9 r: U' |: f, ~: o); do-y $ F/ |. ~2 w# Z; w

  T% P, H5 K/ n(defun draw-inv (inv-plst / dirpt plist p) 9 U5 X1 n; r4 A: w1 g. v7 }8 v
(command "PLINE" (nth 0 inv-plst))
) }. `( C  m9 T5 p5 t) P$ `; L(setq dirpt (polar (nth 0 inv-plst) 0 1))
1 d# f0 }8 t/ P  T4 K(command "A" "D" dirpt)
; F) h) k, V! a$ c/ @  \  m(setq plist (cdr inv-plst)) 6 f1 [2 C9 w- K4 H0 ]
(foreach p plist (command p))
' m: n8 z  S. C) J2 T! ~9 X8 b4 T(command "") 2 K' s% P# w; j  @9 W. O
(entlast)
, Q$ |8 C- A' `$ d9 T! ?" f! U+ n); draw-inv 2 i5 w, T" b+ Y8 M
+ h; K) K3 f$ D- I4 N
(defun ext-trim (p0 DR D / trimcode dist endr)
) T3 H4 o8 K9 G) j6 Z3 r$ E1 V1 j(if (> (car p0) (/ DR 2.0)) ; Extends the involute
- \1 M( S- R2 C7 _(progn
% m/ l7 r( p3 b5 V% _: x(command "LINE" (list (/ DR 2.0) 0) p0 "") ) w+ D: N5 c2 H/ j( U3 D( P2 d
(setq trimcode 0)
" R3 j: e! r- ~  b& o); progn
/ A3 o, ~4 w' `); if 9 c& {; X2 O$ W2 q3 F7 }* d* J
(if (< (car p0) (/ DR 2.0)) ; Trims the involute
, {6 }8 j5 L  x! P2 `' {(progn
8 l  A" W! ?& ?) A  `3 b(command "CIRCLE" "0,0" "D" DR); Root circle ; X- L) k* T) Y7 k$ ]
(setq dist (- (/ D 2.0) (car p0))) * e) D* e1 Z# K  L
(command "ZOOM" p0 9 z' }+ W: L& y0 G, n# d) ]& ~
(polar p0 0.6 dist)) ' u5 ~, [- H" O2 r
(setq endr (entlast)) - w. s/ }( k4 h4 a* e3 s
(command "TRIM" endr "" p0 "") 1 g5 v' K% c8 c0 ]+ R6 v3 T" R4 k1 r
(command "ZOOM" "P") # m- {; J' N+ V8 J3 k3 U
(entdel endr) + X0 D8 L( }8 `- Q' q3 K: y
(setq trimcode 1) % [$ U8 X4 ?. R& C$ H, F: U/ M
); progn
/ h4 b- U3 \9 j* @* f4 V! q4 w); if ! k3 _# Q& p, X, G  w
trimcode
% d% v) G5 O* V6 `9 r2 ?2 X); ext-trim
1 \9 g" d+ T9 O; W1 {. D8 K# _/ ~+ K, |7 w
(defun draw-top-line (D DB N RO / theta-p xp yp alpha
# P3 t* s! A% q1 ybeta tang angend inv-endpt lend) 0 Q+ g. t( m4 F
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
$ c3 {" ^1 D7 c: T4 ~' ~xp (do-x (/ DB 2.0) theta-p); This section
/ X6 y% n5 j3 m4 o0 z9 g3 `yp (do-y (/ DB 2.0) theta-p); sets up angles
$ J5 P# v- i; n$ V8 `( R+ W0 Talpha (atan yp xp) ; for drawing a
" ~. @& `8 R4 @1 S8 Zabeta (angle (list 0 0) (last inv-plst)) 3 h. q7 Q4 o! g* R
beta (- abeta alpha) ; line across the " u# a+ x/ `3 V, _6 `' R3 d6 d5 M
tang (/ pi N) ; top of a tooth
+ I# P* U6 H4 l  @1 B" R9 o- Xangend (- (+ alpha tang) beta)
0 @8 u* y, G- H% m% |2 d# ginv-endpt (last inv-plst); This also creates
: R" K8 Z2 M- \) Q2 blend (polar (list 0 0) angend RO); the tooth 5 A, C. n! t, }9 x
); setq ; thickness. ! v0 X! ?* P# b8 h7 c
(command "LINE" inv-endpt lend ""); Draws the line
' v) ]* P$ b9 @# k) M(redraw) & x+ g: C7 C( u
(entlast) 9 w8 E! A! Y/ O$ e- k) {( B/ {
); draw-top-line + T; K' l- V9 f2 I0 a6 g, r% b! [

3 ]. O! h. Q7 L8 U/ N+ s(defun mir-it (cvent linent / pt)
8 F$ B& a  F: Y1 O  r# f1 v(setq pt (dxf 11 linent))
/ s! i% F- w& b: F" {1 X(command "MIRROR" cvent "" "MID" pt "0,0" "")
1 ]9 W: v. A. \0 g- d(entlast) / {* H1 B( s" N9 B& y5 E
); mir-it
1 _: q  Q1 r* Y- U5 e
' X/ Q5 {- n' H! z( Z(defun segment (DR N en / p1 p2 ang dist midp p0 pang 7 H/ D* H+ Z* }. m
pang2 p p3 ent3 entl1 entl2 en1 en2) $ k! M3 ?* p. y5 M+ {0 w' V9 Y; Y
(setq p1 (dxf 10 en)
2 A' |$ \5 d9 ~; ^  H! t% ep2 (dxf 11 en) 1 }2 `" @) O# n8 Z
ang (angle p1 p2)
3 m$ B* a% e/ O, O- L3 w7 n# M2 ]( Mdist (/ (distance p1 p2) 2.0)
# w, g; R! y9 f8 C; imidp (polar p1 ang dist) + M9 e8 P* ]( B
p0 (list 0 0)
. V, @! c$ ]( w6 W# `; n/ r; ypang (angle p0 midp)
6 Q0 ^8 Y9 {7 U; [! |* epang2 (/ pi N)
1 s; @3 `; V: Q) V' Tp (polar p0 pang (/ DR 2.0))
" ~- g, a3 I8 B& {  `& {p1 (polar p0 (- pang pang2) (/ DR 2.0))
. {" o7 t# ?* s% V  tp2 (polar p0 (+ pang pang2) (/ DR 2.0))
; B* d  d; |6 o; Op3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
; @$ l6 I: O* E( X. lent3 (entlast); This is the tooth p-line
, ~, L; c8 H# _6 f); setq
. r9 r3 l7 d2 T7 j. `9 r(command "ZOOM" "W" p3 p1)
8 D3 y" i6 h- Y* p( k(command "CIRCLE" "0,0" "D" DR) ;Root circle 7 q# u# m1 {5 Q6 n* q: w0 e/ p
(command "TRIM" ent3 "" p ""); Trim the root circle
0 A9 ~2 R& V% B3 J2 V(command "ZOOM" "P") ; O, q/ s6 Y. h( \
(command "LINE" p0 p1 "")
5 c  X# {( C5 E(setq entl1 (entlast)) $ a) B4 A1 o9 T# L& v
(command "LINE" p0 p2 "") & d' a' t0 S, U& r
(setq entl2 (entlast))
- H4 E7 f. T. U6 {" N1 _( }3 s7 R(command "TRIM" entl1 entl2 "" p3 "") ) b- i. W! h+ G1 S& p2 j3 v
(entdel entl1)
7 z- a  ?; g( D$ d" o4 B5 I6 \(entdel entl2)
# a& C1 {* Q6 X(entdel en)
8 z8 X4 ^+ |; m- Z0 \* ](command "ZOOM" "W" p3 p1)
1 ?( ~& f# d  [(command "PEDIT" p1 "Y" "X") 4 a: |  z$ f9 O. i. ~+ {
(setq en1 (entlast))
  |9 D9 D& s- }# M1 `' B) ~) f(command "PEDIT" p2 "Y" "X") ! f. y+ s" I6 }5 }# j0 K( I3 @& K
(setq en2 (entlast)) 7 {2 X" ?: w5 E! l
(command "PEDIT" en1 "J" midp en2 "" "X")   j$ e% a  H9 [% z
(command "ZOOM" "P") / J8 i4 }( }& ?" \, z- q% P. s
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") ' u$ b! z5 x/ d4 Z7 t
); segment 6 E* I' o3 R) ]) P5 g

2 K8 Y0 Q' o: d8 H- W" |(defun c:sg ()
; e$ u5 p5 j% ~8 @3 ^& |(setting) $ G- |6 [1 N: b+ P
(spurgear) 6 H) E( t  F% R% N
(resetting) * A- @8 a3 \! N
(princ)
/ d2 ]/ ?* w8 [. h' e/ Z/ x$ p); c:sg ) l! [3 L! R+ \' W
% X3 h* @- J( X
(prompt "\n**SPURGEAR.LSP Loaded!")
2 e' i/ \" V6 H3 V' V& ](prompt "\n Enter 'SG' to start") % x# o% j+ C* {( `# a
;;;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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