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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 z2 H. Q& i% l9 O+ R9 r;;;begain suprgear.lsp 6 t4 k, e) e! b  X) D+ S
;************************************************* $ E  r* V/ j5 t2 X0 \7 M% X
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss & p$ N; |3 e$ q( j4 n; N
;------------------------------------------------- 6 I8 G, Z8 X6 N# ]  i7 Y
; This routine draws a spur gear using joined
1 a" |/ ?. d9 X/ I; polylines. It lets you use any pressure angle : x, @3 i9 j5 P4 E, [: {9 U
; to design the gear teeth.
4 Z9 S& z: ^  ]# x;************************************************* " N9 n9 H4 X$ F6 Y( C3 [0 `
(defun err (s) 4 Z& k9 Y/ N6 L9 X/ n" T4 {% c
(if (= s "Function cancelled") 3 M5 @# ]1 B, ?) M9 b2 E9 `3 `8 B
(princ "\nSPURGEAR - cancelled: ") 2 L7 `! Q5 |) [, C7 T, s- [
(progn (princ "\nSPURGEAR - Error: ") (princ s) ; S  b$ X/ U  q- y' f' \
(terpri)) - ]# W9 C. V, E* {, R
); if # }  \( D9 q8 j: a9 N' l
(resetting) & d2 J  x" K. z$ m/ r1 ^) u
(princ "SYSTEM VARIABLES have been reset\n")
' f% Z! F9 S# |. w0 Y. B(princ)
. F- O8 Q- c% M/ [- A" d* B); err
% z4 e, |* @! c9 O0 ?8 W- v4 Q' V( t6 N! f
(defun setv (systvar newval)
" Y% o) [  t' F% U' T5 v# G(setq x (read (strcat systvar "1")))
1 [1 c0 X7 b/ ?8 m9 d! E(set x (getvar systvar))
) h6 I# F- q% ~4 o(setvar systvar newval)
  f+ O4 u4 h  A2 C8 t0 Z0 g); setv
3 p' j; m. N0 F1 Y' _9 c
; K3 q+ f9 K, a' w* p. `8 c3 {  u(defun setting () / i+ [5 ~2 V/ K0 @; [
(setq oerr *error*)
) X: _6 D) Q  }6 T9 A! U(setq *error* err) " p0 r# J1 J2 K) _0 S
(setv "CMDECHO" 0)
0 q$ }7 b" I, f3 H% M1 N  N(setv "BLIPMODE" 0) $ {# ]" f! N$ a$ j7 F0 K
); end of setting
6 |0 N* y' }1 \" i5 ~(defun rsetv (systvar) % l, i: y) [* I4 J  y& D+ S
(setq x (read (strcat systvar "1")))
" d- W: @, W9 X(setvar systvar (eval x))
5 X3 s7 t8 H3 f! @: S) o); restv
/ w2 i/ D9 q% x: J. s) R+ g(defun resetting ()
* b  d$ Q( c( E) H; E(rsetv "CMDECHO") - Q; N! M: `7 G+ n8 Q
(rsetv "BLIPMODE")
" W- w0 Y" L2 e; ?9 o0 U+ m(setq *error* oerr)
; }& M# K# {: j: M# d) G0 S); end of resetting
* ^* ]( J4 B5 B2 S+ K. y  P" Y, D7 A$ `5 v- R' \) v1 r
(defun dxf (code ename)
% v" P! ~1 d: P- W) {(cdr (assoc code (entget ename))) % G  {7 H' k) P
); dxf
! L* A: i' k0 a* }5 M& k% j3 |" E
6 U( b) w- F5 g: G* a(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1 ; Y) ?' b$ ?! E6 W% C) ]
trimcode invent p0 p curvent linent linent2 ent2 p2) & b, D2 D3 P. B3 b% T! D9 u; F
(setq D (getreal "\nPitch diameter: ") ' p* V6 P2 K( {; w1 X
N (getint "\nNumber of teeth: ")
/ L0 F, o8 E5 m2 Y& L: Xphi (getreal "\nPressure angle: ")   U7 {1 C3 X& R2 T
phi (* (/ phi 180) pi) ; Pressure angle
' F0 t: _1 Z. ]( _4 N6 J7 jDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter - M, h; x! i1 s' d9 i, Q
RO (/ DO 2.0) ; Outside radius
/ R9 ?- i! u; v+ i+ SA (/ D N) ; Addendum $ @; o0 l# |8 i$ c# u6 E5 {+ a
B (* 1.25 A) ; Dedendum 5 d: x5 f; ?/ Q  G
DR (- D (* B 2.0)) ; Root diameter 7 h+ n. K7 N! n
DB (* D (cos phi)) ; Base circle dia.
& J/ Q$ ]! \' t  O# W2 G1 F" C; f1 j) {inv-plst (involute DB N phi);involute points ' i" c! d& g0 [8 H/ x7 n8 s
trimcode nil
) L; j5 j- G' R+ @: H); setq
* v! d; {1 ]) ]: a0 M' Y) j8 e(command "ZOOM" (list 0 (- B)) ! [$ y* M: Q! }+ k
(list RO (/ RO 1.5))
1 [$ F2 `" m7 Y  w5 Z0 F* m); command
/ ]- }2 B+ H* ?(setq invent (draw-inv inv-plst)); Draw involute. - M& j6 I) a6 q. d3 J
(setq p0 (car inv-plst) 6 {; w; U' S1 c% U
trimcode (ext-trim p0 DR D);trim or extend
/ a. A, ^5 V8 P7 b  j' J); setq ; the involute.
, N3 ~. Q' e0 `* B(if (and trimcode (= trimcode 0))
% o2 o, F, `4 i5 z4 a(progn ; Joins the involute to the extension. " B$ m. p# z0 a5 B
(setq p (list (/ DR 2.0) 0)) 6 u6 Y* R( a, s
(command "PEDIT" p "Y" "J" invent "" "X")
* j$ b% j: \2 G; D(setq curvent (entlast)) / j5 `! l9 V, ?$ F! \% {# D
); progn
9 \9 F6 R$ H( B  @4 Y(setq curvent (entlast)) 5 O9 k9 |3 g6 F# T5 S. R# C$ ]0 m
); if " |# ]2 U  m; O( B7 u3 L2 L
(if (null trimcode) (setq curvent invent))
0 M, s5 I( {& X- P! s# e(setq linent (draw-top-line D DB N RO)); top line.   I9 k  j9 `1 y9 r6 ^: g5 ^( M% {
(command "COPY" linent "" "0,0" "0,0") 4 H2 U, B/ J5 P5 U( g
(setq linent2 (entlast)) " t  U: C- U# P  W( I* Q5 c
(setq ent2 (mir-it curvent linent)); mirror curve ; m7 r8 l7 ^" K- j
(command "PEDIT" curvent "J" linent ent2 "" "X")
' p' Z; n; {8 O; O1 U0 @& J(segment DR N linent2) ; Finish the job! " |8 @' ]& u  P9 P+ n
(setq p1 (list (- RO) (- RO)))
+ |9 V; H( s1 A0 M(setq p2 (list RO RO)) - Z6 t5 u# N% t2 M, O. Q
(command "ZOOM" p1 p2)
7 P# c: X5 ~  y* Y0 p: ~(prompt "\nConverting to POLYLINE, please wait...") 6 ?( h8 X- y8 r4 B' Q
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")   z8 A" I' C+ u# j# Q! m8 ^) Q
(prompt "\nAll done!")
- |" t- o  |. @); spurgear 6 A& w6 B: _/ Y! y3 l
1 D8 g* J7 M6 h* A, D9 U7 u
(defun involute (DB N phi / numer denom frac theta2max 0 E# T7 z3 U- O' K$ [  w
thetamax theta-inc theta plist RB xval yval p) 2 w7 [" H7 b; @2 I) w6 X5 a) }% U& \
(setq invfact 3) 8 p. t+ g. J4 {2 K  J
(setq numer (+ N 2.0)
  j" N7 N% D' K# U8 b0 ldenom (* N (cos phi)) ) B0 v. p/ S7 w1 g
frac (/ numer denom) 3 E: I& f- T2 P
theta2max (- (* frac frac) 1) * |, J3 g2 ]) R4 K. ?
thetamax (sqrt theta2max)
; @! U- F0 K/ a1 D5 J, M5 |theta-inc (/ thetamax (float invfact)) 8 T$ T+ ]. R2 C& |" q" d" c) D5 b
theta 0 % E, f/ m+ q; N; l$ o) C' g
plist nil   s. o( B2 v+ A' I
RB (/ DB 2.0)
( _* p# R+ M4 ~) W/ V9 R); setq
% ~" V, o3 i* n; R. I$ S, Z1 O5 a(repeat (1+ invfact) * ?7 S: I0 V/ u$ B& h8 g6 ]( O
(setq xval (do-x RB theta)
8 X& t+ s. y% Q4 t# j# tyval (do-y RB theta)
* m4 [2 y4 R5 T8 ]p (list xval yval) 1 p/ |9 t% j* R$ m4 I
plist (append plist (list p))
2 i; k" d0 H3 E* H' g); setq 4 \2 q3 R6 W. d* R' e! f" X+ W
(setq theta (+ theta theta-inc)) 0 i/ D& B& O% O) ^* ~; _& w* Y
); repeat
# B& U+ g$ g2 v- jplist   {; S0 z% n: s- e
); involute
0 w2 h/ s7 A5 L* G' ]( k
* c  v& C% d* P- K( [6 b6 m. t(defun do-x (RB theta)
6 H* Z% E: y( h) w7 I, U" i+ m( ?(* RB (+ (cos theta) (* theta (sin theta)))) & f5 B, J4 ?& t
); do-x
) W9 u* \3 R( \  ?- z% t0 j3 E# G( \$ W: R& [
(defun do-y (RB theta) ; \( K" x4 L# |" F& N! R" {3 E
(* RB (- (sin theta) (* theta (cos theta)))) % D7 ~6 F( c/ U# b& s0 {3 ]# L
); do-y % Z% K6 m3 Q1 W7 H; X# C; K6 s# K7 s
6 @& d; u2 M( N& f! a7 |3 s5 l3 V
(defun draw-inv (inv-plst / dirpt plist p) / A: q6 q6 q. ~, g2 \! K1 v
(command "PLINE" (nth 0 inv-plst)) + u5 n/ f; ]" o" S: m! M
(setq dirpt (polar (nth 0 inv-plst) 0 1)) & l% V/ ^1 `; ]$ B( `
(command "A" "D" dirpt)
, G  V& P) |8 n. Y  ]$ [; @(setq plist (cdr inv-plst))
5 \9 `. M3 b. x5 G(foreach p plist (command p))
" K, J3 C" v9 L+ d(command "")
0 Z* c8 R1 ]7 R0 b7 K(entlast) % K4 J- L9 o  D5 I1 l5 k
); draw-inv
! k0 s( w. v6 I9 r/ o' P# e7 D+ F
(defun ext-trim (p0 DR D / trimcode dist endr)
- r6 a+ p& v; }% m/ w5 V$ ]' N: }# D) Q(if (> (car p0) (/ DR 2.0)) ; Extends the involute 1 @0 b9 S. T: j! i+ F. T; N
(progn
, Y. P- w( N* X+ k+ o" D" A(command "LINE" (list (/ DR 2.0) 0) p0 "") ; o  e8 ~4 W! x1 {
(setq trimcode 0)
1 k! R" a' ?1 i+ O% J$ `); progn
, f7 O# O$ W# @); if
6 x- A/ y- t& f' |' [! Z; W7 C(if (< (car p0) (/ DR 2.0)) ; Trims the involute
, s5 p3 l! c+ l% g% @( z(progn ; b4 T9 b- j' K4 B+ T: e
(command "CIRCLE" "0,0" "D" DR); Root circle
7 a" g. f% M# P+ m( {/ h1 R( k- j(setq dist (- (/ D 2.0) (car p0)))
% ~3 W9 a5 P! s5 P' i(command "ZOOM" p0
9 Y! m, t% Y2 M% i4 R/ W(polar p0 0.6 dist))
9 x! l; G( j$ h: g+ y0 `7 [1 ~; R9 v(setq endr (entlast))
, m1 {8 E" h0 i& [+ Z1 e" t(command "TRIM" endr "" p0 "")
1 U8 T' N: T6 c9 C4 \8 K(command "ZOOM" "P")
# c7 o$ Y5 {/ Z% O$ K5 J* M(entdel endr)
- @/ z  {+ e! V. u" l: @- ](setq trimcode 1)
/ S! Z! j0 R3 N/ Z- w% Q2 F); progn
+ C9 F" w9 R& k" k6 ?); if
+ V7 K  P3 G- W$ f" q- @trimcode 3 ^5 O- w7 H. q# I
); ext-trim
( K+ d& q% |8 @/ U5 e$ _5 Z8 _& h; X% M% q8 x8 _- l7 ~
(defun draw-top-line (D DB N RO / theta-p xp yp alpha 9 p8 |5 H8 z6 H8 h7 D) d
beta tang angend inv-endpt lend)
- c  t7 I0 V  ^* _(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) 5 o. s$ L5 f9 c) O! R
xp (do-x (/ DB 2.0) theta-p); This section 0 Y( K! w' ^  D: g8 x1 @
yp (do-y (/ DB 2.0) theta-p); sets up angles
/ V( c* T! L* m$ x  y  A) qalpha (atan yp xp) ; for drawing a ; j% r& X# J2 h( {( `
abeta (angle (list 0 0) (last inv-plst))
8 X8 M, q4 U  x9 A+ bbeta (- abeta alpha) ; line across the
' k: c& L% m# U. s+ I8 {tang (/ pi N) ; top of a tooth
# E) x: O* \6 W( ~angend (- (+ alpha tang) beta) , j- a  M8 K/ m2 Y1 a
inv-endpt (last inv-plst); This also creates ) r) c5 _& n8 |8 k1 ^
lend (polar (list 0 0) angend RO); the tooth . T1 a( W  ]) j. j+ c6 A" a
); setq ; thickness.
: M2 t7 _, t" O: D" K8 z3 E( I(command "LINE" inv-endpt lend ""); Draws the line
4 O+ m4 Q; h9 P(redraw)
) u+ I3 Q$ j5 }4 q3 H# ~8 T(entlast) 5 N" U( ~- A4 W4 G$ {" ?& Z
); draw-top-line / _4 P3 G1 y: i# r7 [9 }3 W/ A
+ T8 {; r3 b% e
(defun mir-it (cvent linent / pt) 5 R( `) _7 s1 L" Y/ S" ^0 M
(setq pt (dxf 11 linent))
( x, ]% E8 i0 y6 q8 r' E(command "MIRROR" cvent "" "MID" pt "0,0" "")
# G* q1 X/ ~) R0 Y1 p(entlast)
6 t) v  X. r6 O$ F); mir-it 7 K, \5 @2 x- R4 s4 a

9 P6 N: K8 @5 D. O0 T% V(defun segment (DR N en / p1 p2 ang dist midp p0 pang
; N3 w7 a  R4 i$ b* J. ppang2 p p3 ent3 entl1 entl2 en1 en2) 0 |4 T: h* B4 i3 T6 W" r, W
(setq p1 (dxf 10 en)
& z( R9 p* [6 [4 F- p' P/ H0 ]p2 (dxf 11 en) . G! b- Y9 E; r2 r6 N/ [, c
ang (angle p1 p2) % S4 h3 e: a% ?8 ^; ^, n) M
dist (/ (distance p1 p2) 2.0)
& ?( M0 {* ^0 h, vmidp (polar p1 ang dist) 2 Y: ~, L. f$ Y
p0 (list 0 0) 0 V6 y4 f' i8 V( L- q
pang (angle p0 midp) " O$ F, ?; ^& P1 D
pang2 (/ pi N) . x3 s1 V3 ^$ ?/ B" J
p (polar p0 pang (/ DR 2.0)) 5 ]( l& H: |% n: t
p1 (polar p0 (- pang pang2) (/ DR 2.0))
5 s. Q* _- B$ b3 B9 I5 n, {7 K$ }1 Kp2 (polar p0 (+ pang pang2) (/ DR 2.0))
! T7 R- L, B/ M1 r5 A+ a( H* Qp3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
  Y' v: W2 X: Jent3 (entlast); This is the tooth p-line : g  ?% L. A0 [8 F! Z; }7 g& i
); setq 7 O, q" e) y; f3 V/ C/ o, C& Y2 Y% c! d- i
(command "ZOOM" "W" p3 p1) . r& u+ @2 ?% C" U
(command "CIRCLE" "0,0" "D" DR) ;Root circle
9 _! v" U- ~" c. l  {* ]. C(command "TRIM" ent3 "" p ""); Trim the root circle $ @  ?# B3 i$ y) S( M6 \* d1 \
(command "ZOOM" "P")
, q, E9 N; f# Q6 P. ~- k(command "LINE" p0 p1 "") / {& |% W4 i* n, H! a, r* w5 v
(setq entl1 (entlast)) 6 m* M2 K7 C/ _: y$ H
(command "LINE" p0 p2 "")
+ O/ b, e  [$ G/ @8 F- `8 v(setq entl2 (entlast))
- w* N; k  e: D3 z* S. l1 S2 h(command "TRIM" entl1 entl2 "" p3 "")
2 g: N4 l8 U* h! c7 N7 `& U(entdel entl1)
: r1 I$ p7 q( D, y0 d(entdel entl2)   t* s2 a4 U# C- A
(entdel en)
! \5 l, s& n+ e2 A(command "ZOOM" "W" p3 p1) ! w- C; j0 s8 v. C) n" @% J
(command "PEDIT" p1 "Y" "X") 0 S6 a4 T! _' U+ c
(setq en1 (entlast))
9 ~5 r+ ]- ^+ W) @; t( |/ B(command "PEDIT" p2 "Y" "X")
7 F3 r0 Z9 I. w+ F+ _(setq en2 (entlast)) # j6 U: f: \1 r( B
(command "PEDIT" en1 "J" midp en2 "" "X")
" E- K+ |4 a  z8 Z* f& Q2 z0 s(command "ZOOM" "P")
" s! L$ A, Q5 e2 `(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") 7 V! p$ N- @. ?+ Y( r3 ?# [: d
); segment 6 k) P. p( `6 w; \- f  d, W

$ s; W' J, [6 K7 T2 @(defun c:sg ()
5 _1 b4 \1 ?) Y(setting) * h; o; g7 C- l
(spurgear)
3 `8 X% E) ?0 [5 e( n(resetting)   S* o8 ?2 I& E+ v! g. ?" @0 H  y
(princ)
7 v9 F5 h7 P+ V/ P7 E) y); c:sg ! C1 Y. i1 H, N- E& a# h
  \) S: u  E& f. q$ v7 ~$ l8 j1 J4 d
(prompt "\n**SPURGEAR.LSP Loaded!")
5 {. a4 t& f  f% F7 y2 e(prompt "\n Enter 'SG' to start") - y+ i, t( ^  m/ ~$ v
;;;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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