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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。
! `2 l$ k# b; _/ A. n9 K1 D;;;begain suprgear.lsp
( f4 B/ X- z+ N1 r, \;************************************************* - _, ^. @* a0 ]1 K9 u' p
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
" r' |5 F. B& e* @$ W* l* J- s;-------------------------------------------------
! o+ ^5 ^5 {6 D) d2 ^5 a! b; This routine draws a spur gear using joined
6 C' L7 q4 A0 c3 z, O* |; polylines. It lets you use any pressure angle ) B& {; ?' Q/ J0 T  ?/ X
; to design the gear teeth.
; V; D- V2 s1 `  C9 p( i* n;*************************************************
& V6 P7 \( L; z* ^/ p6 E8 p% I(defun err (s)
( z4 E, r5 e3 k* B( m( }/ b( @" f. a(if (= s "Function cancelled")
0 b7 Q/ N4 Y8 V8 l) \; G- V7 j5 D(princ "\nSPURGEAR - cancelled: ") 1 c1 y: Q% Q7 _3 J
(progn (princ "\nSPURGEAR - Error: ") (princ s)
* @& g1 B) b9 t$ C; T(terpri)) 7 O! X% V: U+ G+ N" r3 z( M
); if 9 M6 Q1 h) m$ a+ [: v2 I/ i0 i
(resetting) " S( M  @6 H6 ?6 r
(princ "SYSTEM VARIABLES have been reset\n") , J1 S7 c+ k/ z0 i* J
(princ) * T2 f! K- Z; z" |: w
); err , f) ?. @& C9 r/ B

! t+ \4 g7 h+ }6 @+ s' J(defun setv (systvar newval) + K0 O8 P3 V9 C1 m1 z" c8 y& @
(setq x (read (strcat systvar "1"))) * [) N; A& H; ?' k  Y6 @
(set x (getvar systvar)) - U$ q; `1 B& O) S
(setvar systvar newval)
3 g6 e) g+ w) i) v2 Z, Y); setv
/ O( R5 ^- \& s: C: n; U5 J* P
: d8 P% E9 f# |2 N2 G3 e6 W(defun setting ()
. ?1 T2 M7 Q% }: O8 K(setq oerr *error*) , P- [( s  w! |2 s& g
(setq *error* err)
$ l* ~) ?+ K, b: }3 L6 P(setv "CMDECHO" 0)
5 `& J: \* H" g! n. x: x4 Z(setv "BLIPMODE" 0) 0 N$ @; q. ]: D5 x- F
); end of setting
1 l# N: H# U) N(defun rsetv (systvar)
9 ~8 r7 U, w# I" m) Y3 M$ g" h(setq x (read (strcat systvar "1"))) . ?) a! g- F/ {# w
(setvar systvar (eval x))
; N: K/ @0 U5 }' n' x' w); restv
: `: i- W0 F. z6 Y(defun resetting ()
4 H* W0 o; Z9 a( z3 V9 G8 w(rsetv "CMDECHO") - n2 d# B4 C3 h5 l: I
(rsetv "BLIPMODE")
1 I7 b+ ^2 |# t7 v- j: R$ m  k6 ?(setq *error* oerr) 2 B& _7 J' y- W) ?
); end of resetting : R2 q% R& ~  U4 ^

. k. k* h0 e/ B; s$ D(defun dxf (code ename)
; `( }3 ]4 Y* I* M! c! n(cdr (assoc code (entget ename)))
) b7 g$ `9 j# A# y); dxf % c& ^# H* ?- ^. t' A8 `; w
, k6 u9 {: N6 ^( [3 |
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1 % b. t( A) A( D2 o' e+ p* s9 w2 _, p
trimcode invent p0 p curvent linent linent2 ent2 p2) 6 X" v: H" A: I
(setq D (getreal "\nPitch diameter: ") " X6 W& I& ?' h( Q5 J
N (getint "\nNumber of teeth: ")
, I) M# c$ \6 N+ iphi (getreal "\nPressure angle: ") 1 c  T3 @# y* i7 O: x2 n
phi (* (/ phi 180) pi) ; Pressure angle   Q7 {3 f, m* v  r- L1 O. Q0 a2 r
DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter
' M3 q# C$ V& R& Z0 X6 h5 R; WRO (/ DO 2.0) ; Outside radius ! B' F5 ?* S- w: f4 U
A (/ D N) ; Addendum
; H) V0 j* m3 `+ \) K0 DB (* 1.25 A) ; Dedendum * E2 y3 y% E: A) V! Z7 r( [
DR (- D (* B 2.0)) ; Root diameter
+ @7 s9 @% @: v3 kDB (* D (cos phi)) ; Base circle dia. 5 b2 `1 A% q- ~+ J' C& s; n, P& y% e9 L
inv-plst (involute DB N phi);involute points
! A  G' k$ ~0 K& Btrimcode nil
  p7 H1 H- j; S7 I); setq 9 H5 j# ]: I  `& ]3 L6 s* i
(command "ZOOM" (list 0 (- B))
3 E- l# ^. T0 n4 s2 x% u(list RO (/ RO 1.5))
$ s7 ]- c8 t1 o: P2 E* `); command
2 b5 p1 M4 X8 }+ [3 o( C- B& ](setq invent (draw-inv inv-plst)); Draw involute.
+ n# b4 F  z5 z! k$ C7 o4 z! d6 c(setq p0 (car inv-plst)
! Z6 d. }- ~* W9 ?1 |trimcode (ext-trim p0 DR D);trim or extend * x/ m$ R- H9 Z) w, y
); setq ; the involute.
0 V( W# I) X) L3 g, D3 J, i* D7 Q5 w(if (and trimcode (= trimcode 0))
  Q+ B  b" C1 X% C' h; C(progn ; Joins the involute to the extension. $ f3 O% @2 Z! M7 E  K
(setq p (list (/ DR 2.0) 0))
' l4 B/ I# \. @* n/ i(command "PEDIT" p "Y" "J" invent "" "X") / _4 P# r, E$ q/ J! V
(setq curvent (entlast)) " B& }" `7 Z# U: X; |
); progn
2 C" z3 I4 m. x( I, _# e# C(setq curvent (entlast))
2 N* q1 p: z; X3 p); if & i  ^' O  x+ B2 L5 S( k
(if (null trimcode) (setq curvent invent))
, f9 r9 \+ V, g6 E" k7 ~, ~% Q(setq linent (draw-top-line D DB N RO)); top line.
9 u& B2 b" v% W. C2 E& M1 a! K(command "COPY" linent "" "0,0" "0,0")
9 a4 l1 p; |1 m+ \3 y(setq linent2 (entlast))
# T4 b4 n0 ?* a) l! c(setq ent2 (mir-it curvent linent)); mirror curve 0 S( _: T1 z5 ?5 s  r$ N+ |8 |
(command "PEDIT" curvent "J" linent ent2 "" "X") " t! M6 ^& y  u) O
(segment DR N linent2) ; Finish the job! 9 w: w: u- y2 o5 _' i
(setq p1 (list (- RO) (- RO))) ( ?( O% o, I7 Q
(setq p2 (list RO RO)) 2 y5 m: ~  O. O1 w) x
(command "ZOOM" p1 p2) 8 p& y$ O; q$ z. ?
(prompt "\nConverting to POLYLINE, please wait...") $ d& c5 a) a( q, p) ?4 b4 U8 o
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")
: r7 i& y2 }" S9 P1 p6 i4 f# c(prompt "\nAll done!") $ V0 G' M+ o. c
); spurgear
& H- n0 j5 j4 S: p7 ?) g
! \& N( A* e( t* T  t% f(defun involute (DB N phi / numer denom frac theta2max ' n2 c0 n" ?, z3 R8 W+ u. W7 y
thetamax theta-inc theta plist RB xval yval p)
, U  |& |' V6 e1 Z(setq invfact 3)
- A# _: C) [  J; _(setq numer (+ N 2.0)
" Q4 q+ j. x) I! X8 xdenom (* N (cos phi))
& X% E# x  @( Z, ^9 T7 Rfrac (/ numer denom) / i: F8 X- z6 e, T
theta2max (- (* frac frac) 1)
7 g5 t6 z# E/ f( L8 Z# f1 l6 Rthetamax (sqrt theta2max)
8 ^9 g0 P: j: c" M( u1 Vtheta-inc (/ thetamax (float invfact))
, v- q+ z3 y% @! o. Y; o, etheta 0
! }( T$ T" Z0 @2 `plist nil
' V2 Y: Q4 D- T- O% S9 \3 xRB (/ DB 2.0)   c: {! B2 z% \9 Z8 ]9 p; ?
); setq
. k; j3 H1 z# Q8 y(repeat (1+ invfact) 3 f" ^& O' B% }- o$ x5 U7 d1 q8 |- O
(setq xval (do-x RB theta) 6 r5 I# h6 o# U0 k7 K  g
yval (do-y RB theta)
; p+ ^% Q% P% Op (list xval yval) / j4 [) w# l) n2 N
plist (append plist (list p))
# P1 _, f4 x, Z$ c0 x); setq
' g2 H% b/ j$ |  C0 v(setq theta (+ theta theta-inc))
* }8 F) G4 c% W, o6 Q); repeat . I% y. D$ H6 g" I: o- b( l
plist
/ k) G4 S3 N! W- g); involute
7 k. m2 G7 o0 [, r$ ?
8 w+ u+ X. [, c5 h1 \8 d6 ?2 F(defun do-x (RB theta) . v* H; l, t5 u4 }
(* RB (+ (cos theta) (* theta (sin theta))))
, M; h" J) q4 `( Y0 m$ ^); do-x   I* r! p, x' s2 K4 G+ z
# F3 ^7 B# }; E3 O; `
(defun do-y (RB theta)
' q% H+ t2 s: F% K. J( W(* RB (- (sin theta) (* theta (cos theta)))) $ B, ^8 C/ c- v8 L- G
); do-y
0 O# k6 f4 B$ }# r$ J- m2 l
4 n& ?. J7 W8 ~% K+ K(defun draw-inv (inv-plst / dirpt plist p)
! U' i1 m) K$ _+ b* i" Q# ^(command "PLINE" (nth 0 inv-plst)) : j3 ]) [( v0 E- S- i" z* @: }2 \
(setq dirpt (polar (nth 0 inv-plst) 0 1))
: b9 _' t: j2 t/ V3 h(command "A" "D" dirpt) 9 j5 \( H& s& Y6 j  c/ W, Y
(setq plist (cdr inv-plst))
1 H7 l7 H; u) o/ F! e' V(foreach p plist (command p))
- f  ?; u; u7 Q9 H) y(command "")
6 F/ t; K( m0 s8 C(entlast)
& @( q3 P! A7 C5 G4 W+ R$ \); draw-inv
% c7 l/ f" T# ~  q" p
" c5 ]% O; |- n(defun ext-trim (p0 DR D / trimcode dist endr) / _9 l5 c, `6 @
(if (> (car p0) (/ DR 2.0)) ; Extends the involute
1 f6 F4 G% |& b6 Z& t2 X) ?3 y6 P6 p(progn
* ~$ u* w+ D% O- p8 A( @(command "LINE" (list (/ DR 2.0) 0) p0 "")
  P0 l7 L) D1 E(setq trimcode 0) 7 b' ]; Q  Q, q: c: {7 j/ K8 J
); progn " ]4 {$ H& n& F! ^! V
); if . z2 H* H. M0 h, x; f' d- {
(if (< (car p0) (/ DR 2.0)) ; Trims the involute   G+ J  e1 f* c2 B6 _) j( Y0 ^
(progn + d) k) d; i8 T5 H3 Z' b' i1 G# m
(command "CIRCLE" "0,0" "D" DR); Root circle
5 N# ]3 O" ?: H( d(setq dist (- (/ D 2.0) (car p0)))
+ F5 p2 K  o, i/ c(command "ZOOM" p0
4 V: d0 Z8 R" S(polar p0 0.6 dist))
9 |9 u1 L' r' S0 `(setq endr (entlast))
4 V4 R$ ?: X( P4 k  f+ a(command "TRIM" endr "" p0 "") ' R8 R% u3 f5 M; W* K
(command "ZOOM" "P")
# W2 \; J; k9 i(entdel endr)
! t2 T1 D) ?5 ~5 g1 c2 a& J$ g(setq trimcode 1)
1 h9 L7 Q- [; a, a$ F- K2 ~); progn
; n; Q9 G8 y- {5 q/ |. a); if
6 C* C/ M# L9 j& otrimcode , r, l* H% b( Q1 o9 \' s7 s# f" K
); ext-trim
' p! _( G$ ~+ |% T2 x$ c! m: b+ _3 [
& }# X: l9 ?. A6 I9 r7 ^" o) g5 A" _8 A+ ~(defun draw-top-line (D DB N RO / theta-p xp yp alpha
- C; y4 n5 p7 j' [" ]( g# R/ Hbeta tang angend inv-endpt lend)
1 U% [' L7 P3 o6 s# [* l5 y(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) 5 U0 L; I( J4 Z$ B
xp (do-x (/ DB 2.0) theta-p); This section & a: a2 f  t9 t* q( w- o9 C; y
yp (do-y (/ DB 2.0) theta-p); sets up angles
4 h$ ?  S( }! t4 U8 xalpha (atan yp xp) ; for drawing a
& o- X8 @0 v3 w# xabeta (angle (list 0 0) (last inv-plst)) & X3 @( h, f9 N8 A3 V+ x) H! h
beta (- abeta alpha) ; line across the & @4 b0 n2 R  q2 d! n/ |
tang (/ pi N) ; top of a tooth , F8 A# s: `  ~8 f  m2 o
angend (- (+ alpha tang) beta)
& ]: C0 }2 Q) h, Z! N. C0 B+ Linv-endpt (last inv-plst); This also creates 9 z" B% @, {" i/ r% [4 |
lend (polar (list 0 0) angend RO); the tooth
, ~1 V) T2 j1 `" O8 ]9 u1 I1 I); setq ; thickness.
; b( W1 e) w$ M- T. X. S8 J(command "LINE" inv-endpt lend ""); Draws the line ) j8 `, Z& v# Q& y$ z5 }
(redraw) 2 M* y7 M" x! @, [
(entlast)
5 h4 D; L# D; `% l); draw-top-line
9 S' P1 h% @# ?) D, W. x! S* d" T8 z& X3 m* Y; s  ~
(defun mir-it (cvent linent / pt) ' k0 Z* t: O0 Z0 W* ^
(setq pt (dxf 11 linent)) & D8 t2 Q" n6 C- @2 m; Z
(command "MIRROR" cvent "" "MID" pt "0,0" "") 1 H; k- P" T1 U
(entlast) , p7 p& k+ G  i$ j# N7 R; {
); mir-it 5 H7 A5 q4 w  N5 \# U
7 J6 N! e5 \  r# A8 H; G, O
(defun segment (DR N en / p1 p2 ang dist midp p0 pang , M5 c" i/ o: e* Q
pang2 p p3 ent3 entl1 entl2 en1 en2) & z" P( N) n3 D' f
(setq p1 (dxf 10 en)   _. y( ^1 B3 i( N8 C2 z: L
p2 (dxf 11 en)
8 N* F  {& e0 B: `ang (angle p1 p2)
3 K# r# o3 i9 `9 G' }dist (/ (distance p1 p2) 2.0)   x+ c7 d( @& o! b, X3 {% M/ J
midp (polar p1 ang dist)
' c6 E% o: _* q" Z. m: j; ap0 (list 0 0) . F0 G8 K0 Z5 h2 y* ]" ~
pang (angle p0 midp)
9 H- h+ A4 W2 c' L! }# Dpang2 (/ pi N) . G) @0 v. U6 [& @5 X
p (polar p0 pang (/ DR 2.0)) ! g4 e" j4 |! g/ F4 H7 n
p1 (polar p0 (- pang pang2) (/ DR 2.0)) ; D5 x, {  U9 w  K) v* w4 z
p2 (polar p0 (+ pang pang2) (/ DR 2.0)) & I- j6 U7 H8 D% N, @9 N9 a
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
' U& O# l) L# O; qent3 (entlast); This is the tooth p-line
; f* t& [; @2 I, l$ Q); setq * [" z6 B4 `5 j5 v  }8 |$ H" x' {, p
(command "ZOOM" "W" p3 p1) 1 ^+ `; b+ y) z0 @
(command "CIRCLE" "0,0" "D" DR) ;Root circle
. U6 b2 Z4 E, r0 ]" l3 o; @8 n- c(command "TRIM" ent3 "" p ""); Trim the root circle   ^7 ^3 p% @! j: T( S4 ]9 _' }
(command "ZOOM" "P")
- B3 J/ P" k/ K/ W(command "LINE" p0 p1 "")
! S* f/ F# a) c+ v! W7 E4 z8 b5 {% H(setq entl1 (entlast)) ; p5 i8 m% E, c' f! o$ Z
(command "LINE" p0 p2 "") 7 ^+ ^  d5 m" W& |- t6 w
(setq entl2 (entlast))
' ^( D( G. Q: |/ ](command "TRIM" entl1 entl2 "" p3 "")
) q6 m- N/ I3 a; {: ~7 C6 z8 W5 i& J(entdel entl1)
8 I1 i. ^5 A0 S7 o2 l(entdel entl2)
1 q* g# h& [! V5 h& D& G6 x(entdel en)
- K+ k* M! C4 v: h, l+ E(command "ZOOM" "W" p3 p1)
' j* |- T; ~- u/ X, f# g, t, f, ](command "PEDIT" p1 "Y" "X")
1 t  l9 m7 g: `  o5 U" A(setq en1 (entlast))
; D8 l* k6 b* @2 ~) i  @- J1 P(command "PEDIT" p2 "Y" "X") . o0 |' z! E, Y9 L
(setq en2 (entlast))
: N" `' \4 r% u/ @  X  h4 A(command "PEDIT" en1 "J" midp en2 "" "X") : M, i: Y7 E  ]* J/ \
(command "ZOOM" "P") , _  }7 d( E. o$ N+ T; [
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") 9 A7 Q' t" r" F# v
); segment
+ _, @6 R" d" |' z, v, k6 v8 o' ], k) H* t, }  t8 K8 Q
(defun c:sg () ! o% ~1 M9 i1 T1 P. [
(setting)
* L, N+ w6 X6 y4 ?& ~1 b(spurgear) - ]5 U! s) s# s" Q, z
(resetting) . }: [0 J$ M7 X, C
(princ) 0 Q* V8 N- d. C0 }: E
); c:sg
4 [( k  ?/ a7 Q1 b# T" B; H, `) E; T" m0 M: q/ U
(prompt "\n**SPURGEAR.LSP Loaded!")
  g' a4 F0 v( f8 K) c(prompt "\n Enter 'SG' to start") 7 `. E$ J- s( @* z! ]
;;;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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