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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。* z/ u4 G5 S6 s  ]4 }/ o8 w$ r
;;;begain suprgear.lsp - N4 I3 ]% o1 c0 P
;*************************************************
1 L7 J# ~6 {8 C8 z0 M2 b: t- v;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
( G: k0 _1 f7 e$ j4 l. g;------------------------------------------------- . U% B( V) _! e/ q0 e7 n
; This routine draws a spur gear using joined
  t$ C; Y! S% [0 }/ Q, V; polylines. It lets you use any pressure angle
5 m  o8 R( V4 y& U, s; to design the gear teeth. ' M! N+ Q5 |3 u  b* P' c* x' E0 s
;************************************************* 6 L5 v0 ]7 h0 o/ O
(defun err (s) 9 ]; o+ \( n8 ]
(if (= s "Function cancelled") 9 Y1 s+ i3 B4 d5 R3 j, j
(princ "\nSPURGEAR - cancelled: ")
& `* h  E$ c4 [) w$ e; {0 ?$ v# u(progn (princ "\nSPURGEAR - Error: ") (princ s) 8 l: n8 a( A  B% {7 F+ I3 @8 d# j
(terpri))
% I; E/ y: C3 {4 ^! m); if 5 n8 g# A+ a% t. E
(resetting)
7 L- o  [# z) E(princ "SYSTEM VARIABLES have been reset\n")
; _: o" @% F4 F6 t: H) W) L- I(princ) ( Y- D& G$ h. n9 G" L0 W5 H/ B
); err
/ E9 w* ^( C/ s* S9 ^/ S
! w0 q' C( ^9 y* M+ U6 ~  d(defun setv (systvar newval)
; s2 [0 Y" Z) @. l) H' w(setq x (read (strcat systvar "1")))
5 G8 n$ b* g4 }! a(set x (getvar systvar)) # _- J1 c9 t, u$ w2 H$ T9 ]
(setvar systvar newval)
3 S- O7 B" [. U); setv
2 E6 y5 ~$ t6 x# T8 t2 g: ~  u
* M- g- o0 T$ |9 g  K9 Y' F(defun setting ()
$ S/ N1 D( `4 q" d4 q3 i4 D) v(setq oerr *error*) 2 x  d4 Q: Y/ L7 _2 c% V
(setq *error* err)
: a. B% s. o! B; i4 \(setv "CMDECHO" 0)
. q0 J* h  K% r0 e' F# e( {(setv "BLIPMODE" 0) ' T. Z/ D7 G$ C% I; E4 _
); end of setting
+ Y9 `* Q8 b4 B& V  V5 k/ q(defun rsetv (systvar) 2 R; l. G: s+ v
(setq x (read (strcat systvar "1")))
) D. q8 ?1 r! {& Q+ V(setvar systvar (eval x)) ' t3 |  M; G" v* U
); restv & X, s3 F* k- `1 ]6 A( @
(defun resetting ()
3 g/ p8 t- X/ z# p1 D(rsetv "CMDECHO")
5 S( `, u# b; |% f(rsetv "BLIPMODE") - C- ^  p4 i" }+ W- j' e
(setq *error* oerr) 9 @' e" V8 u# \
); end of resetting . T" o: J$ u5 v, R9 f: z3 C
' Z: i* E* o6 W4 D3 F
(defun dxf (code ename) + Q9 ]: t( ?1 x" z' H4 @$ L# A( P
(cdr (assoc code (entget ename)))
( P" r: Y# n( T* u& g); dxf
9 K4 |5 F& ]) b% g% k3 ^/ t7 Q8 H+ Y, Z5 i% H2 `
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
" `8 d! S7 K5 p8 X* x; O6 C+ ^( Htrimcode invent p0 p curvent linent linent2 ent2 p2) 8 d# Y" T8 a$ n
(setq D (getreal "\nPitch diameter: ") + {; k* [4 \7 `9 H
N (getint "\nNumber of teeth: ") # I. b/ K' Y/ V' D/ W, Y8 B
phi (getreal "\nPressure angle: ")
/ J  E. S- }5 E" i6 Sphi (* (/ phi 180) pi) ; Pressure angle
/ F3 q% j0 o; m& t3 M0 {7 v7 aDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter : c+ }! ~5 f2 W1 _. k
RO (/ DO 2.0) ; Outside radius
+ E$ y) v! I, L9 AA (/ D N) ; Addendum 4 l5 v  s* {1 o" W4 |
B (* 1.25 A) ; Dedendum
9 F8 z7 _9 f/ f- q2 A$ @DR (- D (* B 2.0)) ; Root diameter 9 T$ t7 M+ z4 c7 f
DB (* D (cos phi)) ; Base circle dia. . r4 b: [( m' p! ~; Z0 `6 Y
inv-plst (involute DB N phi);involute points
# f1 M8 I9 \& Rtrimcode nil
* `+ `, L) R0 W5 u& `); setq
  ?+ M: f( y$ S(command "ZOOM" (list 0 (- B)) 8 r/ }) A7 j6 {3 l4 u0 H% j
(list RO (/ RO 1.5)) ) o/ ]  {5 y4 V: ?' a
); command , ?/ s1 {1 [7 O2 B# D
(setq invent (draw-inv inv-plst)); Draw involute. ! Q9 q  q4 E) s% M1 |
(setq p0 (car inv-plst)
, ?. C  S. m. ^( {trimcode (ext-trim p0 DR D);trim or extend
+ b4 a) g9 D: f- D$ k1 c. V. c); setq ; the involute. 2 m9 Y$ t* r2 A; F. D% p; J# c' x; o
(if (and trimcode (= trimcode 0)) ) s% X- t* y  _9 D3 U% P3 D" D4 M
(progn ; Joins the involute to the extension. + C' T. l* m& j5 u& i
(setq p (list (/ DR 2.0) 0))
$ L( _: _9 p1 w0 H! q' w(command "PEDIT" p "Y" "J" invent "" "X") ( h  N) q1 x+ b
(setq curvent (entlast)) ; c7 c# u: e" j1 ~  J  \
); progn
+ N% O5 @, D3 \: B. y(setq curvent (entlast))
2 {# J5 E# n! h; ~); if ' s4 E$ K# U0 B6 P4 e
(if (null trimcode) (setq curvent invent))
: ^8 Y4 X' L/ J' s6 |" V(setq linent (draw-top-line D DB N RO)); top line.
8 _7 E. Y# C# A(command "COPY" linent "" "0,0" "0,0")
7 T: n3 N6 n; N9 c(setq linent2 (entlast))
) s! @5 o$ B# e: b(setq ent2 (mir-it curvent linent)); mirror curve
& g) n) y1 r- \7 k, Z; p" ~- z(command "PEDIT" curvent "J" linent ent2 "" "X") # W9 F, x- G/ y5 _
(segment DR N linent2) ; Finish the job! 6 Y! n3 M1 O- D  {7 ?5 v5 d9 E; Y
(setq p1 (list (- RO) (- RO))) ) e9 E5 h" _( s# {+ y
(setq p2 (list RO RO)) 7 Y4 m2 \' D: r- o. d
(command "ZOOM" p1 p2)
1 l5 \- V0 z0 R1 Q! q  P(prompt "\nConverting to POLYLINE, please wait...") + m( r/ h) C6 _( O* e* w2 v
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")
; x( W3 ~& C0 i8 @8 P' p: S0 p(prompt "\nAll done!")
& ?2 q3 r4 W( q2 k' j2 Z); spurgear
9 x, B4 C9 k6 ~  k) E- j' @  L3 v" s1 v$ ]0 m
(defun involute (DB N phi / numer denom frac theta2max
+ _1 }/ ?$ c3 m) d: J7 Tthetamax theta-inc theta plist RB xval yval p)
( }8 H8 P9 s( q7 ?7 L: Y(setq invfact 3)
& }; }1 C4 t: ~0 t) v; O1 E0 o! ]7 V* c(setq numer (+ N 2.0) 5 @" u2 _7 y, E+ ~$ ]
denom (* N (cos phi)) 7 v& {- Y( t/ h* W3 m, T
frac (/ numer denom) % `+ k" T: ~; E
theta2max (- (* frac frac) 1)
1 T; J7 ~0 t' u0 bthetamax (sqrt theta2max)
0 k* `$ j  |- P* B+ Qtheta-inc (/ thetamax (float invfact)) # G4 _! A9 q  Q; Z- i8 d
theta 0 8 I# e. C, E0 r
plist nil - }4 f7 |- T8 z5 I+ Z8 H
RB (/ DB 2.0)
. P$ z. A2 P7 I/ f- b2 x); setq ( h! o6 R, V7 Z
(repeat (1+ invfact)
1 d9 R4 }' ]6 M. @: t(setq xval (do-x RB theta) 5 @( }1 o: E' ?# R7 K: i" |# x
yval (do-y RB theta) 2 A; ]* B3 N  f/ O' u
p (list xval yval) - V/ V' f& e' \
plist (append plist (list p))
8 H; L2 H# Q5 {/ g& l8 I); setq
- l! u) z! ]6 O2 _+ D5 Y" t(setq theta (+ theta theta-inc))
' r8 n4 V6 p9 @& m); repeat
9 u4 `: H4 j+ C* a8 C+ K6 xplist : v' n6 X9 c1 g1 L$ E* {/ g2 M
); involute & B: F* R8 }3 V/ ?& d
& H& m7 n. c5 \5 T
(defun do-x (RB theta)
0 m# a: z6 x( w  c5 g* Q% n, W(* RB (+ (cos theta) (* theta (sin theta)))) & f- S/ K  @) }8 H8 ?6 X
); do-x
7 O: }3 R+ E) @9 x2 y7 B* u9 I" j6 j% r& r
(defun do-y (RB theta) 0 \- F# A& |0 k) j2 ?
(* RB (- (sin theta) (* theta (cos theta)))) " g3 I7 D6 a  U( I/ f! N
); do-y 0 I; j9 [8 X; e, r
+ V2 l9 w% G" P7 Q
(defun draw-inv (inv-plst / dirpt plist p) ; b5 b; @" O$ j' P3 u: `; e! a+ P
(command "PLINE" (nth 0 inv-plst)) 1 v! t$ Z$ z# v) r- D. r5 ?/ i1 h
(setq dirpt (polar (nth 0 inv-plst) 0 1)) , ~& z1 s- ~; U& C' J: u
(command "A" "D" dirpt)
) p, D! E& Y- T% j0 b* F(setq plist (cdr inv-plst)) $ X7 B4 s% J% q
(foreach p plist (command p)) - Y3 p# J( [' m' ]! r0 a5 V
(command "") 3 q# v- C% {8 M; O4 a& O
(entlast) ) l) M9 ~* i* r8 N$ M+ s- \/ R
); draw-inv
# R& C1 l/ w) n( J3 }; d! w
7 Z" y9 s4 w. U+ y3 z, P% Y1 Z% I(defun ext-trim (p0 DR D / trimcode dist endr)
: c( Y# @3 Q7 l0 j8 |7 }(if (> (car p0) (/ DR 2.0)) ; Extends the involute
. j/ z" n/ @* R; r" _(progn ; X& A' T6 r5 @+ ~3 x; z" ]
(command "LINE" (list (/ DR 2.0) 0) p0 "")
9 s# {- r7 y3 Y(setq trimcode 0) 4 Z) ?/ I* u, @) W# W  M* A4 e
); progn % X$ k. M7 `2 d( N1 f) B% A/ Y
); if : U# M' a( r* r, W8 {" v
(if (< (car p0) (/ DR 2.0)) ; Trims the involute ' z( A/ y# Q  W
(progn 7 p9 @* K3 f" [' }
(command "CIRCLE" "0,0" "D" DR); Root circle
) x8 P! z  ?& A7 Q3 r2 T- ~(setq dist (- (/ D 2.0) (car p0))) * U0 J( R# ~0 x
(command "ZOOM" p0   e$ t' h% @! U& E* u) c
(polar p0 0.6 dist))
3 q" ]; V% e: O(setq endr (entlast)) ' S& N" L& ^! d
(command "TRIM" endr "" p0 "")
* d2 y5 y6 a# o6 o$ H(command "ZOOM" "P")
# ]6 \, J9 o6 {: H7 X(entdel endr) 6 t6 u1 g5 a$ E8 V. ^& P
(setq trimcode 1)
  w6 g0 X6 @+ [3 ~" C4 G! i: f; m); progn ! F+ J1 I+ ~" S8 M6 b  M7 d+ a
); if ) R! j+ p$ G" `: y$ U0 ~0 k
trimcode 2 Y8 _8 z. e! c/ E/ D1 M) \( Y
); ext-trim + R! i+ o7 W1 B9 K4 u% U
! w" i& L% o- w2 s! |4 [& |' X3 J
(defun draw-top-line (D DB N RO / theta-p xp yp alpha ) q+ X6 K: m* `. O
beta tang angend inv-endpt lend) 5 Q6 |+ g: V1 _/ o: y. c) k) b5 `
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
* H) T0 H5 G0 F, V. @xp (do-x (/ DB 2.0) theta-p); This section
- O4 w+ W+ [% t5 v! Typ (do-y (/ DB 2.0) theta-p); sets up angles
, T' A/ ^! \) l9 r/ ~alpha (atan yp xp) ; for drawing a " r& w7 V, X/ Z: e* D- T
abeta (angle (list 0 0) (last inv-plst)) 1 M* E2 U2 o0 A6 [8 g
beta (- abeta alpha) ; line across the
1 n* c1 _$ u: H  }tang (/ pi N) ; top of a tooth 8 ]/ [0 M' G; }+ `1 e# ^! M6 P
angend (- (+ alpha tang) beta) , H* k9 m4 f+ q6 q9 K, s  K# \! r
inv-endpt (last inv-plst); This also creates , x& t) P! T: B
lend (polar (list 0 0) angend RO); the tooth * T) K8 ~4 ^1 S* s1 `: d; x- o% s* ^5 N: r
); setq ; thickness.
; [% G: [7 S1 X  m: X. F9 [(command "LINE" inv-endpt lend ""); Draws the line # A  `1 H4 u9 l  d/ `: o% p
(redraw) 4 p& G- c5 ^& L0 j! s5 L
(entlast)
1 x' S, R7 }6 E' }); draw-top-line & K  ^. w0 C3 ?

- ]  B5 c7 d5 j# @) a9 i2 u( g(defun mir-it (cvent linent / pt) ) L* q) s) ]) w# p( \" `
(setq pt (dxf 11 linent)) ; `& k& |( T2 k8 [1 h; s
(command "MIRROR" cvent "" "MID" pt "0,0" "") & K% x) c+ f: H, R* h3 ~) R
(entlast)
- M+ o' A0 d0 X% Z); mir-it 3 T& ^! H" t4 b" ^. n5 B! ^
2 W' J5 }; ?" I- e# i
(defun segment (DR N en / p1 p2 ang dist midp p0 pang " U* R% x, u. N6 A; g& }# r* D5 Z
pang2 p p3 ent3 entl1 entl2 en1 en2) 0 u2 ]% i) x: l
(setq p1 (dxf 10 en)
# S4 u! Q* U6 Ep2 (dxf 11 en) 8 C: c5 t/ ?, ?3 M: t( q: K
ang (angle p1 p2) 2 d; h( C5 ?6 D6 U2 T0 D! @
dist (/ (distance p1 p2) 2.0) ' j) G% |. {; V5 X
midp (polar p1 ang dist) ; T  o2 W' s" z/ q6 B  Q0 E
p0 (list 0 0) 1 h6 u- i$ e6 l4 u
pang (angle p0 midp)
$ b( Z2 Y9 h% U2 Xpang2 (/ pi N)
9 M5 W$ Y" m! N4 N3 jp (polar p0 pang (/ DR 2.0)) 8 o1 f, i2 D9 {. _
p1 (polar p0 (- pang pang2) (/ DR 2.0)) ' G( J4 X4 J0 b+ n+ Z
p2 (polar p0 (+ pang pang2) (/ DR 2.0))
+ Y, G  A& M* [% o7 vp3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) / ]* q% V2 P' _/ {/ @/ ]& p
ent3 (entlast); This is the tooth p-line
. u/ }& n% r- U/ x3 V  S3 E; q); setq ( k% E* r9 c1 d5 b8 y7 T+ Y: t
(command "ZOOM" "W" p3 p1)
/ s/ I: ^7 J+ B4 T5 p) h5 v7 _" y(command "CIRCLE" "0,0" "D" DR) ;Root circle . @. [& m6 Y6 H1 C
(command "TRIM" ent3 "" p ""); Trim the root circle $ V0 B# L7 r  T
(command "ZOOM" "P") # u: D# s* E# i" v3 ?1 t- _
(command "LINE" p0 p1 "")
$ @7 R9 \; o' h4 A5 L% U(setq entl1 (entlast))
1 _" w( J2 o; M! f+ u(command "LINE" p0 p2 "") ) P6 _8 Y( D1 u' o) p7 m
(setq entl2 (entlast))
1 r% F9 D% `" a& {' A) b5 h, S2 Q3 ](command "TRIM" entl1 entl2 "" p3 "") + u) R& g9 s0 ~" @. @$ K- X
(entdel entl1) 8 _  {& o  z1 F! Z; Q& `3 U' }
(entdel entl2)
9 j/ `# f# z3 C4 C0 _(entdel en) 9 G; `7 y' w" W
(command "ZOOM" "W" p3 p1) ! ?3 g1 M' \* v, ~. z, |% z
(command "PEDIT" p1 "Y" "X")
. Y) _6 f1 y2 u. S# T+ H(setq en1 (entlast)) - r. x! N' c3 v( s4 a! t1 R
(command "PEDIT" p2 "Y" "X")
4 H) g0 h- \3 h9 S5 r# f(setq en2 (entlast)) " }1 u# K! i  P! @6 M/ f- |+ R
(command "PEDIT" en1 "J" midp en2 "" "X") 5 t, t7 \3 |5 `$ @6 C6 Y: G* }
(command "ZOOM" "P")
5 D5 h& }$ ]: ]6 ^3 K* v(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") ( U" h% L9 v! D+ f
); segment
8 a% S/ E) p4 F2 e8 l( R: C- j. u, L# h) i
(defun c:sg () 5 A7 G5 Z3 e5 b" d( X, ~- J* ?
(setting) % y  [+ P( T6 W  L2 {
(spurgear) 8 P$ Q) W' [+ W& ~3 y& p; F2 c% |; l
(resetting)
* W" R9 \9 h! S& \(princ) ) p( q4 K$ G  B* Z
); c:sg
( t: q* D6 I/ p6 R/ Z
# o( L2 m& u% L(prompt "\n**SPURGEAR.LSP Loaded!") # \0 S4 ~1 |3 @: Q1 f- Z3 k4 P
(prompt "\n Enter 'SG' to start") - ]2 h) B$ `5 D% ^0 P
;;;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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