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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。
. j1 ]7 b/ L8 I" r- p& ];;;begain suprgear.lsp
6 g& Q) c; ~+ V- b: V0 S;*************************************************
9 d$ v# G; b8 n# P7 ];SPURGEAR.LSP - a lisp program by Tony Hotchkiss   w! l% h: ~& ~& F
;-------------------------------------------------
" b6 `4 A1 @4 T, F# |; This routine draws a spur gear using joined
8 z; N4 e4 ^9 t/ r$ P" Q  i; q" i3 a; polylines. It lets you use any pressure angle
4 N$ |0 o3 x) i: Y; to design the gear teeth.
, Z+ x% x- y, ?1 E2 Z* x# ^;************************************************* 7 w8 N4 c" S1 E/ s9 |  q0 R
(defun err (s) 5 f( x2 c9 J) t# @: i
(if (= s "Function cancelled")
/ D- z, C- g' ~: h- V8 J( j8 M# g(princ "\nSPURGEAR - cancelled: ") - |' ?4 X' I% B/ J
(progn (princ "\nSPURGEAR - Error: ") (princ s)
5 U4 n4 }5 _3 I6 |6 Z# t3 M5 Z0 R5 B(terpri)) * ~1 o" \% O+ W) l: ?
); if
2 q! Z2 s5 }5 _6 q  ?' f- M, l(resetting)
: o1 A1 U! j& F5 h(princ "SYSTEM VARIABLES have been reset\n")
+ b/ \* C; [$ Z. G: m(princ) 7 F) u( E/ |9 D5 ?! M0 F
); err 1 S5 n9 W$ Y8 T* r, x" g

# n, K1 @  \$ I% n) w) I- n8 [- n6 U" N$ s(defun setv (systvar newval)
  B/ m5 m: K+ k8 w4 |: b1 H% ~(setq x (read (strcat systvar "1")))
0 U8 q  n) Q9 W(set x (getvar systvar))
6 j) Q* |) @, c(setvar systvar newval)
3 g0 Z" Y2 ?1 g0 G& k% S); setv 6 S5 [$ D% r1 K* \$ B, W

. E) u6 r+ _9 V, V0 R$ E/ q9 s( D# e(defun setting () 0 ?2 z+ U& Y1 C
(setq oerr *error*)
( c- y" T. c. k' c/ c) o(setq *error* err) $ r  N& |( m& l5 X
(setv "CMDECHO" 0)
3 o* Q) W( w; y( @(setv "BLIPMODE" 0)
  ^& b5 a9 P5 e* c); end of setting 8 f, _6 h6 y( c* _2 F  {- e
(defun rsetv (systvar)
8 o7 k2 B+ P# U% I5 `- u0 `(setq x (read (strcat systvar "1")))
' [. B- {+ v+ E( g7 B(setvar systvar (eval x)) 7 S# q6 n, [0 b% e; c" y
); restv
' b8 p0 @1 t7 N; X: Z(defun resetting ()
. l) t" M& Q. F- e: S) t& ~(rsetv "CMDECHO")
1 b9 E( F' i2 M: K7 p(rsetv "BLIPMODE")
' O5 `9 c% b8 ?0 D. j/ S3 P: ~( f(setq *error* oerr) 0 q! Y+ u0 a: o) v
); end of resetting % s0 W  v) k" A

! m* A( I# `) c. U) S: c5 L3 Z(defun dxf (code ename)
+ Y9 T  K) z  z0 j' R(cdr (assoc code (entget ename)))
) i3 {9 v3 q6 x/ z5 U); dxf
& n$ p" v% T( U: Q
0 i! m  A0 k. X( D% Y# D(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
+ Q# o2 ?* h8 H0 Mtrimcode invent p0 p curvent linent linent2 ent2 p2)
* s+ j, R  U( L9 x) b, ](setq D (getreal "\nPitch diameter: ")
3 ]1 S+ d" g5 j% I4 f" b; AN (getint "\nNumber of teeth: ") ; ^6 S$ _# \# J% o$ `
phi (getreal "\nPressure angle: ") / x6 {+ Y6 @- [* u/ L
phi (* (/ phi 180) pi) ; Pressure angle
7 G. s; }- O& F+ O' tDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter
$ \- r: Q% [( b3 sRO (/ DO 2.0) ; Outside radius
( `; j/ O+ P- e+ tA (/ D N) ; Addendum ( i1 v' a1 h( _/ r- B, B$ Z
B (* 1.25 A) ; Dedendum
( a) G) B2 U, d6 \8 GDR (- D (* B 2.0)) ; Root diameter
* L2 t: l) i$ ^. Y7 Y5 N: \DB (* D (cos phi)) ; Base circle dia.
2 M0 }- {5 E% T7 f! yinv-plst (involute DB N phi);involute points " b  c; ]9 V' Z# z0 P( d9 q# C3 P
trimcode nil - T- v3 h( J9 s, [( j0 H$ K
); setq 2 s2 C! u; L1 U- F- e1 N4 B
(command "ZOOM" (list 0 (- B))
  S, l6 G& E; l$ u(list RO (/ RO 1.5))
" i  c  [: @. m! {); command 4 ~, q8 F& q1 M+ k! j2 ^2 Q
(setq invent (draw-inv inv-plst)); Draw involute.
+ I5 _# I, u! ~(setq p0 (car inv-plst) & O# e( p: R! a7 o' g- ?
trimcode (ext-trim p0 DR D);trim or extend
1 ^( [$ H- t+ a2 L2 N) u4 i); setq ; the involute.
6 S3 C' e( t8 ](if (and trimcode (= trimcode 0)) 3 K; {+ n; ]. c: X# _1 K
(progn ; Joins the involute to the extension.
, ~/ s  V( ]$ ?(setq p (list (/ DR 2.0) 0)) * z3 |7 E7 [3 V2 K7 m
(command "PEDIT" p "Y" "J" invent "" "X") - R8 B. y- C  f
(setq curvent (entlast))
3 }& P6 ~, W* V) x& ^); progn 6 V7 B/ G% S4 \7 c+ P
(setq curvent (entlast))
+ }& c/ P/ j/ |6 g9 ], F); if
3 ^' ]+ W: X* B& K8 }(if (null trimcode) (setq curvent invent)) 0 k7 |, s! j0 @* d, T
(setq linent (draw-top-line D DB N RO)); top line.
! |9 y; H) N. ?: {! G(command "COPY" linent "" "0,0" "0,0")
- l# C& Z" m1 `4 V+ L& @4 h! E7 W- K(setq linent2 (entlast)) ; |+ b- x. t" C: k7 r& E1 f8 q
(setq ent2 (mir-it curvent linent)); mirror curve ; p) P- d; P! o# i
(command "PEDIT" curvent "J" linent ent2 "" "X") 8 m% Z' ~; f& K% b
(segment DR N linent2) ; Finish the job!
, H2 E6 c: c/ u$ O3 V- I: M(setq p1 (list (- RO) (- RO)))
, T8 X5 }" {9 N. K( F) H/ M1 g8 G(setq p2 (list RO RO))
/ Z! }; y" u% I. m(command "ZOOM" p1 p2)
3 ?) h6 H7 N0 _# d: H% v5 W(prompt "\nConverting to POLYLINE, please wait...")
$ y2 ^- f& s, w9 N2 r; }(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") + M* y" Y, Y5 _6 `& N/ M
(prompt "\nAll done!") & c0 Q9 r/ B4 h8 T" X7 ~
); spurgear - `; N- [* N6 p4 z1 a

. s' |+ i1 {9 T; I# Y0 z(defun involute (DB N phi / numer denom frac theta2max 2 s6 R1 s/ x# G5 p% {
thetamax theta-inc theta plist RB xval yval p)
4 |3 X5 D2 Q: `* ~% ~9 f(setq invfact 3) 0 l) j! V- k8 {6 ]( G* d$ j# b; A5 Z- k
(setq numer (+ N 2.0)
/ ~( J* L% o1 Wdenom (* N (cos phi))
  u! s+ Z0 _( w0 Bfrac (/ numer denom)
6 x% W! R0 S4 M  T! Utheta2max (- (* frac frac) 1)
5 R" \' `) l; z" I/ f& ^thetamax (sqrt theta2max) 0 Q9 Y  [) D) B1 X' n  s7 H: C
theta-inc (/ thetamax (float invfact))
9 e! {/ |1 t8 R4 U7 B! htheta 0 5 |8 f5 i" Q( J1 a
plist nil
% `) b7 |9 p8 H$ s6 b" y  I% \RB (/ DB 2.0)
5 }! L/ B/ E; T5 U8 n); setq
. F* C$ O% z) R+ w(repeat (1+ invfact) # h2 W2 ?7 l% `  D9 ?
(setq xval (do-x RB theta)
+ O. |6 {  b( f: e" v* Iyval (do-y RB theta) , z+ @+ G( t: k4 |
p (list xval yval)
* r: d! a+ r* [* o% _( }plist (append plist (list p)) 1 F+ D5 R! {7 X( e
); setq
$ f; G) {' X$ H9 v3 J; G(setq theta (+ theta theta-inc)) , I; j0 ^# [; X) `, ?
); repeat
, e% I. U/ \( G* ^. x. k) @plist ! _' {  @0 C* B
); involute 8 R  V. m6 n$ f1 ]

" \% h$ @# F7 V: U6 K) I: X(defun do-x (RB theta) . I& y" p* S4 D5 m7 y7 o
(* RB (+ (cos theta) (* theta (sin theta))))   L: ?# s. e1 n3 b9 ]3 H- U
); do-x : i3 }, G; |7 r

" }" D* G1 y: n1 ^3 b6 t(defun do-y (RB theta) $ T9 T: q! r& t1 O+ m* [
(* RB (- (sin theta) (* theta (cos theta)))) ( T' ~6 P; z! C7 o/ @% Q6 `; G
); do-y
% z! S8 K) Y+ S1 A% q1 T% @  `, d6 I" [% F+ G/ ?+ b, _, A
(defun draw-inv (inv-plst / dirpt plist p)
' J# ^1 T- H% i9 t2 s# M# r(command "PLINE" (nth 0 inv-plst))
# [/ P& W3 P- F/ [8 L(setq dirpt (polar (nth 0 inv-plst) 0 1)) ; S2 t4 v9 _/ d. P
(command "A" "D" dirpt)
. y: s' a! U4 F6 w/ K  t+ b(setq plist (cdr inv-plst)) * h0 ]0 Z  c$ c0 M! f& s  \
(foreach p plist (command p)) , Z. Z& M3 [6 [! i% V4 Z! o
(command "") - Z! v! @0 ~) w
(entlast) # m( L3 T  r6 s  C. o7 ?
); draw-inv
: [! h  l# E2 ?9 n1 W( L: s
0 Z# {6 y4 V7 o& O: C(defun ext-trim (p0 DR D / trimcode dist endr) ; r* {# ]+ X+ b9 Z. u0 o: c- ?# e
(if (> (car p0) (/ DR 2.0)) ; Extends the involute : e6 y" X% D2 [0 w5 q9 d# `
(progn
0 f# U) {0 O9 @( g8 n- x$ i7 r(command "LINE" (list (/ DR 2.0) 0) p0 "") ; b* d: \8 H! I0 c' I
(setq trimcode 0)
2 Y& V- `/ K# I" ?); progn
" B& w* j1 m; J+ C2 @); if $ J9 z; T3 N' o1 J" Y1 {9 m
(if (< (car p0) (/ DR 2.0)) ; Trims the involute
  @& X5 q$ a& t(progn
* V+ d- Y, |4 X' [/ l* j(command "CIRCLE" "0,0" "D" DR); Root circle
# o' j  ~6 h7 ~: V/ x) {# U(setq dist (- (/ D 2.0) (car p0))) 2 J/ t7 q: O/ X* ^" Y( T+ Z4 l
(command "ZOOM" p0
: x+ {( S+ Z" w7 L# l$ m% R7 V(polar p0 0.6 dist)) ! e+ t# \! ^1 s' t
(setq endr (entlast)) ) O; Q* C. A. q5 V5 G
(command "TRIM" endr "" p0 "")
$ x& D1 {) U- G. x(command "ZOOM" "P")
# ~' W6 K: }7 {/ y3 j9 i  c(entdel endr)
# ^4 s# c: V, @' R" {  g(setq trimcode 1)
- D( K) G1 k* `. T); progn " Z4 p. R: M/ D% {- ]! o4 Q) J3 c
); if 4 }2 Q7 [/ Y" T. ]+ @$ p# d& y, F
trimcode
( \5 ?* p" [  A6 G); ext-trim 5 j4 M; S& Z! Q9 F1 a4 Y$ R6 Q

- t2 r% @/ w6 i5 o) F5 O. ]3 W(defun draw-top-line (D DB N RO / theta-p xp yp alpha
5 X4 X! F  r6 E5 V9 [. y6 Bbeta tang angend inv-endpt lend) # I0 c$ q8 C; _# z9 ?9 b' j
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
9 p# k8 I/ W# X+ U0 _2 T1 ~xp (do-x (/ DB 2.0) theta-p); This section - M  g& M2 ^0 a, S' b' t( H
yp (do-y (/ DB 2.0) theta-p); sets up angles
- ]% N8 L; ?3 x1 t3 \% zalpha (atan yp xp) ; for drawing a # Y- E- K/ c8 V5 Z% g
abeta (angle (list 0 0) (last inv-plst))
) l& R( z5 W3 G) i5 rbeta (- abeta alpha) ; line across the , O4 ]* c6 y) W& l1 v2 R" A
tang (/ pi N) ; top of a tooth
9 n! J. J7 W7 D$ E" a# }" c- B4 pangend (- (+ alpha tang) beta) + M6 R+ V. r7 M" K9 d* B
inv-endpt (last inv-plst); This also creates
! i( t; A7 L+ mlend (polar (list 0 0) angend RO); the tooth
7 [$ L) s  Z+ b0 Y0 V* G); setq ; thickness. + N" ^$ o: b3 J# f, \2 R: b* x0 M+ `
(command "LINE" inv-endpt lend ""); Draws the line ) E& c5 Z9 w" u* i. _
(redraw)
8 D; x3 [" j. c$ h(entlast) ; t9 J" {; s, l( k5 |! D- C
); draw-top-line # p0 a! J9 E- m! k

! R4 N' }) U/ S- D1 H(defun mir-it (cvent linent / pt) ; a7 q6 V! j) T9 J* J
(setq pt (dxf 11 linent)) / h4 P# V! X) ~! _: ?3 H
(command "MIRROR" cvent "" "MID" pt "0,0" "")
# v; V" v  ~+ W/ k3 e(entlast) 4 e) V% o3 c: |" a
); mir-it & P/ f/ L- F. a7 O- g' P

. a7 b% x5 e* T/ C9 w! L# n- g(defun segment (DR N en / p1 p2 ang dist midp p0 pang
0 ]+ J8 Q$ z( {( B: dpang2 p p3 ent3 entl1 entl2 en1 en2) / K4 S% W- G* T: y, P: f0 k
(setq p1 (dxf 10 en)
0 r( o7 @/ W9 C( j. w+ a' J+ n4 Qp2 (dxf 11 en)
9 x5 d" T" Y  W4 Fang (angle p1 p2)
0 v+ K1 n6 W$ Bdist (/ (distance p1 p2) 2.0) / R0 j# `* K* @7 T0 V- c3 i
midp (polar p1 ang dist)
* E% d& z" p6 r6 {/ |7 C; ap0 (list 0 0) 8 w3 m4 U2 W* u4 R
pang (angle p0 midp)
0 ^5 K. I/ |/ m1 Rpang2 (/ pi N)
  J& C- ?* v) v* P% H6 q) t$ g9 Hp (polar p0 pang (/ DR 2.0)) 6 F2 S! X, ]3 m; R" \# p3 A
p1 (polar p0 (- pang pang2) (/ DR 2.0)) $ p# w0 D& k7 h( o/ `4 L
p2 (polar p0 (+ pang pang2) (/ DR 2.0))
% n/ {9 J2 v+ b# R; J- N7 cp3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
1 y3 c' }$ n6 |9 z1 oent3 (entlast); This is the tooth p-line . F' _" P' |" j
); setq 2 _9 x3 q+ u/ j
(command "ZOOM" "W" p3 p1) ! f  c! T: |* J( B
(command "CIRCLE" "0,0" "D" DR) ;Root circle
7 M  F) |: _5 o0 i. B* L5 J(command "TRIM" ent3 "" p ""); Trim the root circle
! c1 M( S" j1 D* x- r: j. m5 u8 p' ](command "ZOOM" "P")
  m5 c* ]- E( Y+ E% T(command "LINE" p0 p1 "") $ I' r! K6 \- i
(setq entl1 (entlast)) # k  j8 J5 z5 b$ D+ Q4 Q+ n
(command "LINE" p0 p2 "") # _) M9 L" }6 k" ?1 g& k+ N
(setq entl2 (entlast))
; L- u$ d! f& g& ^(command "TRIM" entl1 entl2 "" p3 "") 7 D6 M8 @1 z/ N0 A
(entdel entl1)
1 C2 d; s9 P2 t4 ?  d+ u6 s(entdel entl2) ) ~" n; q) Y, E' e; d
(entdel en) ! M- b  `8 j/ V* Z4 A
(command "ZOOM" "W" p3 p1) " l# w$ u# @; A: ]  O% B3 ^2 M9 O
(command "PEDIT" p1 "Y" "X")
9 m' K+ q  X# _(setq en1 (entlast))
! D" ~" D, |- n% X- T(command "PEDIT" p2 "Y" "X")
. a4 g+ x$ y% M6 Y" Y2 s) U(setq en2 (entlast))
: h# V8 N8 @* K. Y- v2 u6 h; O1 O(command "PEDIT" en1 "J" midp en2 "" "X") , M: {  _# a. u. B; K9 M3 o" C: X
(command "ZOOM" "P")
  @) z/ d8 w4 j( @# ~+ J/ k(command "ARRAY" p1 "" "P" "0,0" N "360" "Y")
/ c/ V# U( V- S7 x); segment
# |1 f6 B" \: b* K
5 @  t5 v/ C( N(defun c:sg ()
/ T0 F7 x( X! x8 p* f(setting) , C; Y3 q3 ?  `8 Y3 V
(spurgear) $ _8 I) q. z! M
(resetting) # s( Z3 D/ X" R8 @8 ^1 R' Y
(princ) * r% P6 g+ z9 c$ ]9 }  {
); c:sg
: U5 f( q" v+ X0 C2 u% w' T
/ w0 K. Q% N4 W. ^% X1 Y1 N% W7 `(prompt "\n**SPURGEAR.LSP Loaded!")
- v( W8 L* L4 c# U(prompt "\n Enter 'SG' to start")
5 G+ ~$ E! k1 e9 d, Z) E7 k;;;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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