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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。
4 @, K4 {0 `  i' A8 e;;;begain suprgear.lsp
7 w" N4 F+ b+ u3 a2 j/ Q8 R;*************************************************
3 M, K1 e+ U4 s4 A' p;SPURGEAR.LSP - a lisp program by Tony Hotchkiss & z% r9 ~/ D" [4 R- d6 E
;------------------------------------------------- * d+ V4 m/ _: g6 D  v" H
; This routine draws a spur gear using joined ( o/ {0 V! [( t9 d' w* O! E. ?. j
; polylines. It lets you use any pressure angle , ~* o) H" X3 m! Q; D5 G. F2 d$ X
; to design the gear teeth. * g1 c9 l1 `. M6 }
;*************************************************
* @% f( ?  B* U1 O& s9 g1 _) a(defun err (s)
. E# g) u, O1 P5 \9 y7 X5 k(if (= s "Function cancelled")
2 B6 e$ \# |% u4 _! E$ v2 I0 w' Y(princ "\nSPURGEAR - cancelled: ")
! Q6 W# I9 k) h6 ^( ~- j8 \" c(progn (princ "\nSPURGEAR - Error: ") (princ s)
) K* H0 {9 \; |(terpri)) 0 Q7 h. @. X6 j) t
); if ' l' z  N& W6 r# q# D
(resetting) 1 J2 `, t+ r6 D
(princ "SYSTEM VARIABLES have been reset\n") ! W7 i/ w& _% b9 A! d0 M
(princ) 2 J; j7 d5 x, C. ?0 b! |+ O2 a. |
); err ( b* T! I" I; N: c6 f' D# Z
9 N( O' i- f! C( ^" Q3 b
(defun setv (systvar newval)
4 G' C/ T8 c6 ~# D3 _3 X4 H(setq x (read (strcat systvar "1"))) $ m0 K' @$ E, [: N) |
(set x (getvar systvar)) # E. H- _; a+ o, v2 Y4 @
(setvar systvar newval) 8 I9 {8 w& ]4 L+ j! Q/ `
); setv ( p. q# j+ n# A9 N$ P4 K( l8 j

3 ~3 l# x) o- ^8 @# _% L(defun setting () ! M3 }) H9 Y4 h" h# U; q* m
(setq oerr *error*) . m6 p$ g$ r/ [" h" @! h0 W
(setq *error* err) 3 j7 ^+ q& h6 j" `
(setv "CMDECHO" 0) ! V  O5 K- C2 P& o9 q9 W2 J3 v
(setv "BLIPMODE" 0)
: N) j. g0 S7 c9 X0 a) p+ B& V); end of setting 9 s; a# B; M, p4 z/ g  a
(defun rsetv (systvar)
- c3 O& L! F7 b, r4 l4 m# V1 c(setq x (read (strcat systvar "1")))
  k$ \! w, Y' Y$ d+ u(setvar systvar (eval x))
$ ^; a0 {% ?4 X" \4 b: _); restv 2 k% x! J2 J: T: o9 c
(defun resetting () 2 Y; g+ u6 e- K/ p: m6 C: J$ r& d
(rsetv "CMDECHO") 2 s5 _  V( |- e
(rsetv "BLIPMODE") , T2 H  y9 _9 t2 }% l7 ~( {
(setq *error* oerr)
+ B- u1 o" ]$ E* M7 h2 e); end of resetting
5 Z5 ~: v7 K7 V' L; W( n$ g) }1 p. D# L" G/ N
(defun dxf (code ename) 3 S% S1 s0 f0 t0 \  }; H
(cdr (assoc code (entget ename))) & F5 K$ f3 G4 `9 E7 ?6 ~; W0 t3 X
); dxf
3 H  W  Z0 U% a, X
( a5 \! j6 i5 ?$ t. g1 {, C! ^(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
  }0 x1 Z# w+ L4 i" L" ~trimcode invent p0 p curvent linent linent2 ent2 p2)
1 K% s( j  ?/ p2 B, h" ?" s0 a(setq D (getreal "\nPitch diameter: ")
& M" M! u9 ~, p0 _$ \, a5 C  yN (getint "\nNumber of teeth: ")   N$ `; g# Q5 n, E9 r
phi (getreal "\nPressure angle: ")
3 h% D8 ?$ z- x/ B% g9 Iphi (* (/ phi 180) pi) ; Pressure angle
; V9 Y% O8 e, F8 S* IDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter : v+ @( ~* ^9 {# y  c3 _: n3 T
RO (/ DO 2.0) ; Outside radius - w2 `- y" F+ K2 P8 O; Y
A (/ D N) ; Addendum : ^# H: Z& u6 ^1 \" |9 S% a
B (* 1.25 A) ; Dedendum $ [6 T1 k) R3 j8 u8 M$ Q9 O5 D
DR (- D (* B 2.0)) ; Root diameter
' Q$ R: e, @# o. E- jDB (* D (cos phi)) ; Base circle dia. 2 L. m$ k* i4 a
inv-plst (involute DB N phi);involute points
* q1 s* Y& b. |trimcode nil 7 v& k; q% s9 T3 @, k; e
); setq # E. V) a# N3 g) Y- e
(command "ZOOM" (list 0 (- B))
/ A- e0 |3 Y2 }(list RO (/ RO 1.5))
/ s& z9 ^& b! G5 ?% I); command
$ U& ~7 y, {- k( ?/ w, X(setq invent (draw-inv inv-plst)); Draw involute. ( |+ H/ ]* k; d: s2 l
(setq p0 (car inv-plst) 0 Q- e( Q3 a0 i# B7 T" @
trimcode (ext-trim p0 DR D);trim or extend ' ~1 p; M5 U3 J, ]' D
); setq ; the involute.
) z1 u; S  O% d(if (and trimcode (= trimcode 0)) : N3 N2 \, O' S$ ]
(progn ; Joins the involute to the extension. % a4 |! A  U5 I7 C
(setq p (list (/ DR 2.0) 0)) $ C& w2 O2 X& H! \$ ]
(command "PEDIT" p "Y" "J" invent "" "X")
; \9 X, C6 h" f' x4 k) z(setq curvent (entlast)) - O5 F3 y+ E  y1 n
); progn
& q; G8 m6 ^1 H3 f. l$ R(setq curvent (entlast))
$ l2 c4 n: o2 P& K: L; I); if 9 ]; t- o, X! F
(if (null trimcode) (setq curvent invent)) / C4 }* Z7 c- J' V* }; J
(setq linent (draw-top-line D DB N RO)); top line.
: m7 N, E' k5 h(command "COPY" linent "" "0,0" "0,0") 8 w3 a& r5 s5 Z9 I# T' W
(setq linent2 (entlast))
4 X- }! }- _" v8 @+ S! p# O) }(setq ent2 (mir-it curvent linent)); mirror curve 4 h6 o4 ^2 L5 a  p
(command "PEDIT" curvent "J" linent ent2 "" "X")
) `" i) ~) q" K. G7 ^3 f(segment DR N linent2) ; Finish the job!
- J, c7 g" E, A6 w+ B0 V1 q(setq p1 (list (- RO) (- RO)))
+ h8 S$ O2 P: Y5 {(setq p2 (list RO RO)) : m0 d; l5 h! [- c5 ~
(command "ZOOM" p1 p2)
4 r. l# k$ h( r+ h) `2 H- w(prompt "\nConverting to POLYLINE, please wait...") 1 N% B( Z) e4 }! K7 I
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") 1 ?1 }3 {9 U+ U+ G+ ?6 f# T
(prompt "\nAll done!")
* m+ U% b) {; U; {6 M); spurgear
  m5 g( n$ }9 q' X) F1 ?0 d/ n# i$ ], `8 t1 ~8 `% n
(defun involute (DB N phi / numer denom frac theta2max
* c# m) N$ ], u! Qthetamax theta-inc theta plist RB xval yval p) 0 {* B% {. [8 n7 C0 @, e
(setq invfact 3) ; E! e" K3 L( L7 ~. H+ D' }
(setq numer (+ N 2.0) . U1 e+ f5 S$ Y
denom (* N (cos phi)) & j, l( g- i' P+ p
frac (/ numer denom)
0 y/ T+ y' L0 g# O+ [) m: U- C# dtheta2max (- (* frac frac) 1)
$ J) K' K; z  D; c  Bthetamax (sqrt theta2max) # ^$ a7 M( u5 r% D
theta-inc (/ thetamax (float invfact)) % ^3 t: z# f# y2 E4 }' L+ G  E
theta 0
) N; S* {  d* O' w/ z( ~: j* j1 wplist nil
$ M8 N+ M& x, V8 lRB (/ DB 2.0)
& B9 J6 q  F+ g% k% ?); setq
, `) R, S* E6 H+ z& Z(repeat (1+ invfact)
9 D  Y: C; ^" Z2 H$ d0 m(setq xval (do-x RB theta)
8 b$ l+ C$ \& o7 L7 cyval (do-y RB theta)
9 U( \$ Q1 ?5 x& A' M* ip (list xval yval) - R5 z# F" J$ C0 h" O
plist (append plist (list p))
0 q; P. }6 Q% Z. c. T); setq
* B' Q8 w5 i- h3 t4 R" e(setq theta (+ theta theta-inc))
  w' C! t0 M  g); repeat
+ h% O) F. `) Q% S' I: s" c* nplist   Y% C+ g  C& \6 w
); involute
+ ?1 r4 t; `6 `" G7 r5 A5 J" d
( w' R  k% R8 ?1 ~4 @2 T(defun do-x (RB theta)
# v2 l3 V! f8 [(* RB (+ (cos theta) (* theta (sin theta)))) : w8 g4 k8 e% L
); do-x
6 `3 v1 a- P  z# g! b6 v9 e  J) F: S; q* X
(defun do-y (RB theta) 7 K, b4 C, t7 ?  e9 \' W7 R& v- a
(* RB (- (sin theta) (* theta (cos theta)))) " n/ v, [/ w, |( R$ }4 }
); do-y
' J" u+ d1 x# Q4 w% h6 }: _0 l* C3 q
% F* E! [1 I$ \5 e" c5 V0 p(defun draw-inv (inv-plst / dirpt plist p) % p- w3 s9 M' Y" Y, E8 G
(command "PLINE" (nth 0 inv-plst)) $ N; O( r, h9 M2 U3 P
(setq dirpt (polar (nth 0 inv-plst) 0 1)) % {, e& b9 n" z2 u, b# j. x7 g
(command "A" "D" dirpt)
& p" l  @* [8 K/ D0 x: j/ A(setq plist (cdr inv-plst))
- F) w- ?, j+ Z% c, w, E(foreach p plist (command p))
  N6 R; O0 ~7 @& m(command "")
* U8 G. c: v+ e9 U  F1 J(entlast) / O! ^  V; W3 G4 s' K( t9 {# N
); draw-inv
% ]8 P' j3 s7 d) z+ y( q. p$ p- U  K
(defun ext-trim (p0 DR D / trimcode dist endr) / g( M  V$ @9 n! `* T8 G
(if (> (car p0) (/ DR 2.0)) ; Extends the involute 1 W( U5 }1 P  P
(progn 9 h# o4 I* ~/ {) D  K0 k! Z
(command "LINE" (list (/ DR 2.0) 0) p0 "")
& F6 e0 U0 H' Q( p, D8 U(setq trimcode 0) 2 ~) i7 q, ?$ L( Y+ `: L0 ~9 g
); progn 2 \% t; J5 _$ u% m& e/ l
); if - c4 E* T$ [; m2 f
(if (< (car p0) (/ DR 2.0)) ; Trims the involute
$ G  f# n; d- x/ W(progn
1 l7 y4 t! I( G/ V(command "CIRCLE" "0,0" "D" DR); Root circle 1 A' @$ t1 U& J3 y6 ?) V, `
(setq dist (- (/ D 2.0) (car p0))) & ~7 J% h! P% h: k; X8 T
(command "ZOOM" p0 ) ]. H1 ]( S% |' U
(polar p0 0.6 dist)) . y! H7 o) S' [3 H
(setq endr (entlast)) 7 D0 s- n- z4 a6 d+ T2 k+ A$ h
(command "TRIM" endr "" p0 "")
! q8 v& }$ y% z7 P# m& G(command "ZOOM" "P") 5 x) c- ]5 M' D! u
(entdel endr)
) |9 }, C4 [* a( Y& n: z(setq trimcode 1) 4 q1 Z# J0 z6 ]& N  F
); progn
# X- U3 V* d1 g& g); if $ L8 {$ W1 A% f  V! i$ \" r5 @
trimcode ) V  L. p; J$ t$ `
); ext-trim
* H$ Y) U: H" }* E6 ~( K; ^$ m) J4 c  \7 x1 O& E9 A- r
(defun draw-top-line (D DB N RO / theta-p xp yp alpha ; d* }; H1 h2 I: F0 m
beta tang angend inv-endpt lend)
; C. c+ q- V4 \! t- u' y! v(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
6 K+ L) H7 Z* P4 Ixp (do-x (/ DB 2.0) theta-p); This section   E2 @' g. S0 e7 z0 |
yp (do-y (/ DB 2.0) theta-p); sets up angles . u2 r( z" j# b( [  k
alpha (atan yp xp) ; for drawing a
3 Q1 K6 o  f( {9 }& Wabeta (angle (list 0 0) (last inv-plst))
6 H0 ?' B( g0 ]% X7 ebeta (- abeta alpha) ; line across the
6 q; Q! R2 ]9 {7 j) K* p7 btang (/ pi N) ; top of a tooth 2 S! Z2 @0 _3 h& `
angend (- (+ alpha tang) beta)
: P! N( q3 C* ~inv-endpt (last inv-plst); This also creates ' [) l; ?  M8 p
lend (polar (list 0 0) angend RO); the tooth 2 O  m8 r! g% i7 Y- Q) j
); setq ; thickness.
4 B; s4 Q0 I; V" C9 E(command "LINE" inv-endpt lend ""); Draws the line
3 z: h2 h' r0 W8 ^/ \6 B- @: Z% K(redraw)
  R3 k9 t% K/ C5 E! i(entlast) & X. V& Z" W" T% }1 u: G
); draw-top-line
( s# X  |4 L2 R; T
/ Z/ V5 `6 r6 \( V7 s8 t5 d(defun mir-it (cvent linent / pt)
* b$ p, f5 W: |' A* d- _(setq pt (dxf 11 linent)) % T+ n: v, p  e2 C  ~
(command "MIRROR" cvent "" "MID" pt "0,0" "")
% p8 ~7 ~8 s, p! L! _(entlast) " t% X, ^9 |3 ]  Z9 l
); mir-it
1 c+ k1 U8 O9 D# M. w. [( K
; K$ b" q$ [* P1 U! u' G+ H(defun segment (DR N en / p1 p2 ang dist midp p0 pang 5 g) p, K4 `; |1 M* ?
pang2 p p3 ent3 entl1 entl2 en1 en2) # D) F& A8 t0 `' C0 q* X# H, w/ X
(setq p1 (dxf 10 en) " ^( Q6 ]6 W' b
p2 (dxf 11 en) 0 u( u# l( g$ G- @/ j
ang (angle p1 p2) - e4 s- t, r( ?! u8 B9 {/ J( Y' _  y9 t
dist (/ (distance p1 p2) 2.0)
* C' R1 g/ Y% T$ c7 t) h( B! Cmidp (polar p1 ang dist)   \  X" z. o. ^. I  P# z! i' b
p0 (list 0 0) / G, G8 o) I, `: n
pang (angle p0 midp) * E4 n1 F! t8 d7 C! a
pang2 (/ pi N)
( L# a$ w# B/ {4 h& ^p (polar p0 pang (/ DR 2.0))
- Y8 \. f: M! f" n$ y1 [+ W* rp1 (polar p0 (- pang pang2) (/ DR 2.0))
4 L, A1 F$ }* V' M' x, k/ mp2 (polar p0 (+ pang pang2) (/ DR 2.0))
: ~' l% B4 d& \& L' C$ z' kp3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) ) A% ~- |& @# X/ @/ W1 m
ent3 (entlast); This is the tooth p-line
% w. t6 O% f% o3 K); setq 4 E7 c; ?3 r* e$ d
(command "ZOOM" "W" p3 p1)
+ p4 _- ~6 {/ o9 u" j9 n2 [( ^(command "CIRCLE" "0,0" "D" DR) ;Root circle 9 P- ?1 [: d& \6 M) A8 [" o3 n3 S
(command "TRIM" ent3 "" p ""); Trim the root circle
; F* m9 U/ k# L(command "ZOOM" "P")
7 K* o( x! v1 {' Y(command "LINE" p0 p1 "") $ w& O1 ]$ n, L! t, Y( Q( c) X
(setq entl1 (entlast))
8 E. ]- c9 d" d& U(command "LINE" p0 p2 "")
( b5 f- ~0 ^' s; E(setq entl2 (entlast))
; z8 |4 D  I0 h; F- }(command "TRIM" entl1 entl2 "" p3 "") 1 C! o$ G3 a& `: z. P. D$ K
(entdel entl1)
) d! s. F* C) a. d' c(entdel entl2) 9 i; T$ u3 M6 g# B, h
(entdel en) & u' g% E6 G5 C4 y$ [$ m
(command "ZOOM" "W" p3 p1)
' O: f9 x3 N9 n5 y(command "PEDIT" p1 "Y" "X")   ~. |6 \! A3 ^* N; c9 L
(setq en1 (entlast))
1 b7 Z" q$ T5 G+ A! r8 v7 r9 W+ y(command "PEDIT" p2 "Y" "X") ! ?. g! c* g) C
(setq en2 (entlast))
  \- P5 e, |# H9 q9 ~(command "PEDIT" en1 "J" midp en2 "" "X")
8 V1 z% ?+ w7 E- n, l( {(command "ZOOM" "P") & I7 Q; J- ^4 i2 y. C6 H
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y")
6 J% p/ Z7 d0 G. T0 p); segment
% U6 _! \# E! c3 B/ \+ B! y6 p& O  P& b
(defun c:sg ()
1 @0 g+ F1 w( {' l: j6 P; g(setting)
! L( R9 O! D# C! W8 v(spurgear)
" n! R4 ]/ E. T- `, d& g(resetting) 4 N4 y% E  E( b3 h
(princ) 2 E0 U+ N$ ~% V! r
); c:sg
# W* R! W- G0 ]$ i3 R2 X
; o; w3 p1 |0 T7 Q. G' u(prompt "\n**SPURGEAR.LSP Loaded!")
3 x) Y0 m# h2 r(prompt "\n Enter 'SG' to start")
7 X! z0 K. Y* U7 A1 C3 U. y4 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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